question
stringlengths 117
119
| answer
stringlengths 2
37
| metadata
dict | difficulty
int64 2
4
|
|---|---|---|---|
Find the prime factorization of 329. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
7 × 47
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
7,
47
],
"number": 329,
"source_dataset": "prime_factorization",
"source_index": 0
}
| 2
|
Find the prime factorization of 21. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 7
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
3,
7
],
"number": 21,
"source_dataset": "prime_factorization",
"source_index": 1
}
| 2
|
Find the prime factorization of 211. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
211
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
211
],
"number": 211,
"source_dataset": "prime_factorization",
"source_index": 2
}
| 2
|
Find the prime factorization of 141. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 47
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
3,
47
],
"number": 141,
"source_dataset": "prime_factorization",
"source_index": 3
}
| 2
|
Find the prime factorization of 456. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 3 × 19
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
3,
19
],
"number": 456,
"source_dataset": "prime_factorization",
"source_index": 4
}
| 2
|
Find the prime factorization of 182. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 7 × 13
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
7,
13
],
"number": 182,
"source_dataset": "prime_factorization",
"source_index": 5
}
| 2
|
Find the prime factorization of 282. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 3 × 47
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
3,
47
],
"number": 282,
"source_dataset": "prime_factorization",
"source_index": 6
}
| 2
|
Find the prime factorization of 36. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 3 × 3
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
3,
3
],
"number": 36,
"source_dataset": "prime_factorization",
"source_index": 7
}
| 2
|
Find the prime factorization of 256. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
2,
2,
2,
2,
2
],
"number": 256,
"source_dataset": "prime_factorization",
"source_index": 8
}
| 2
|
Find the prime factorization of 126. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 3 × 3 × 7
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
3,
3,
7
],
"number": 126,
"source_dataset": "prime_factorization",
"source_index": 9
}
| 2
|
Find the prime factorization of 139. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
139
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
139
],
"number": 139,
"source_dataset": "prime_factorization",
"source_index": 10
}
| 2
|
Find the prime factorization of 317. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
317
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
317
],
"number": 317,
"source_dataset": "prime_factorization",
"source_index": 11
}
| 2
|
Find the prime factorization of 469. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
7 × 67
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
7,
67
],
"number": 469,
"source_dataset": "prime_factorization",
"source_index": 12
}
| 2
|
Find the prime factorization of 48. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 2 × 3
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
2,
3
],
"number": 48,
"source_dataset": "prime_factorization",
"source_index": 13
}
| 2
|
Find the prime factorization of 496. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 2 × 31
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
2,
31
],
"number": 496,
"source_dataset": "prime_factorization",
"source_index": 14
}
| 2
|
Find the prime factorization of 23. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
23
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
23
],
"number": 23,
"source_dataset": "prime_factorization",
"source_index": 15
}
| 2
|
Find the prime factorization of 299. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
13 × 23
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
13,
23
],
"number": 299,
"source_dataset": "prime_factorization",
"source_index": 16
}
| 2
|
Find the prime factorization of 116. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 29
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
29
],
"number": 116,
"source_dataset": "prime_factorization",
"source_index": 17
}
| 2
|
Find the prime factorization of 159. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 53
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
3,
53
],
"number": 159,
"source_dataset": "prime_factorization",
"source_index": 18
}
| 2
|
Find the prime factorization of 255. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 5 × 17
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
3,
5,
17
],
"number": 255,
"source_dataset": "prime_factorization",
"source_index": 19
}
| 2
|
Find the prime factorization of 477. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 3 × 53
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
3,
3,
53
],
"number": 477,
"source_dataset": "prime_factorization",
"source_index": 20
}
| 2
|
Find the prime factorization of 229. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
229
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
229
],
"number": 229,
"source_dataset": "prime_factorization",
"source_index": 21
}
| 2
|
Find the prime factorization of 245. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
5 × 7 × 7
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
5,
7,
7
],
"number": 245,
"source_dataset": "prime_factorization",
"source_index": 22
}
| 2
|
Find the prime factorization of 214. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 107
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
107
],
"number": 214,
"source_dataset": "prime_factorization",
"source_index": 23
}
| 2
|
Find the prime factorization of 38. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 19
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
19
],
"number": 38,
"source_dataset": "prime_factorization",
"source_index": 24
}
| 2
|
Find the prime factorization of 40. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 5
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
5
],
"number": 40,
"source_dataset": "prime_factorization",
"source_index": 25
}
| 2
|
Find the prime factorization of 381. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 127
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
3,
127
],
"number": 381,
"source_dataset": "prime_factorization",
"source_index": 26
}
| 2
|
Find the prime factorization of 352. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 2 × 2 × 11
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
2,
2,
11
],
"number": 352,
"source_dataset": "prime_factorization",
"source_index": 27
}
| 2
|
Find the prime factorization of 467. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
467
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
467
],
"number": 467,
"source_dataset": "prime_factorization",
"source_index": 28
}
| 2
|
Find the prime factorization of 167. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
167
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
167
],
"number": 167,
"source_dataset": "prime_factorization",
"source_index": 29
}
| 2
|
Find the prime factorization of 39. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 13
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
3,
13
],
"number": 39,
"source_dataset": "prime_factorization",
"source_index": 30
}
| 2
|
Find the prime factorization of 145. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
5 × 29
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
5,
29
],
"number": 145,
"source_dataset": "prime_factorization",
"source_index": 31
}
| 2
|
Find the prime factorization of 442. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 13 × 17
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
13,
17
],
"number": 442,
"source_dataset": "prime_factorization",
"source_index": 32
}
| 2
|
Find the prime factorization of 232. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 29
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
29
],
"number": 232,
"source_dataset": "prime_factorization",
"source_index": 33
}
| 2
|
Find the prime factorization of 191. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
191
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
191
],
"number": 191,
"source_dataset": "prime_factorization",
"source_index": 34
}
| 2
|
Find the prime factorization of 411. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 137
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
3,
137
],
"number": 411,
"source_dataset": "prime_factorization",
"source_index": 35
}
| 2
|
Find the prime factorization of 419. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
419
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
419
],
"number": 419,
"source_dataset": "prime_factorization",
"source_index": 36
}
| 2
|
Find the prime factorization of 76. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 19
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
19
],
"number": 76,
"source_dataset": "prime_factorization",
"source_index": 37
}
| 2
|
Find the prime factorization of 141. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 47
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
3,
47
],
"number": 141,
"source_dataset": "prime_factorization",
"source_index": 38
}
| 2
|
Find the prime factorization of 261. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 3 × 29
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
3,
3,
29
],
"number": 261,
"source_dataset": "prime_factorization",
"source_index": 39
}
| 2
|
Find the prime factorization of 76. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 19
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
19
],
"number": 76,
"source_dataset": "prime_factorization",
"source_index": 40
}
| 2
|
Find the prime factorization of 256. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
2,
2,
2,
2,
2
],
"number": 256,
"source_dataset": "prime_factorization",
"source_index": 41
}
| 2
|
Find the prime factorization of 376. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 47
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
47
],
"number": 376,
"source_dataset": "prime_factorization",
"source_index": 42
}
| 2
|
Find the prime factorization of 104. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 13
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
13
],
"number": 104,
"source_dataset": "prime_factorization",
"source_index": 43
}
| 2
|
Find the prime factorization of 407. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
11 × 37
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
11,
37
],
"number": 407,
"source_dataset": "prime_factorization",
"source_index": 44
}
| 2
|
Find the prime factorization of 76. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 19
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
19
],
"number": 76,
"source_dataset": "prime_factorization",
"source_index": 45
}
| 2
|
Find the prime factorization of 205. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
5 × 41
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
5,
41
],
"number": 205,
"source_dataset": "prime_factorization",
"source_index": 46
}
| 2
|
Find the prime factorization of 43. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
43
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
43
],
"number": 43,
"source_dataset": "prime_factorization",
"source_index": 47
}
| 2
|
Find the prime factorization of 106. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 53
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
53
],
"number": 106,
"source_dataset": "prime_factorization",
"source_index": 48
}
| 2
|
Find the prime factorization of 44. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 11
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
11
],
"number": 44,
"source_dataset": "prime_factorization",
"source_index": 49
}
| 2
|
Find the prime factorization of 217. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
7 × 31
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
7,
31
],
"number": 217,
"source_dataset": "prime_factorization",
"source_index": 50
}
| 2
|
Find the prime factorization of 469. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
7 × 67
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
7,
67
],
"number": 469,
"source_dataset": "prime_factorization",
"source_index": 51
}
| 2
|
Find the prime factorization of 281. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
281
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
281
],
"number": 281,
"source_dataset": "prime_factorization",
"source_index": 52
}
| 2
|
Find the prime factorization of 391. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
17 × 23
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
17,
23
],
"number": 391,
"source_dataset": "prime_factorization",
"source_index": 53
}
| 2
|
Find the prime factorization of 191. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
191
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
191
],
"number": 191,
"source_dataset": "prime_factorization",
"source_index": 54
}
| 2
|
Find the prime factorization of 101. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
101
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
101
],
"number": 101,
"source_dataset": "prime_factorization",
"source_index": 55
}
| 2
|
Find the prime factorization of 184. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 23
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
23
],
"number": 184,
"source_dataset": "prime_factorization",
"source_index": 56
}
| 2
|
Find the prime factorization of 208. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 2 × 13
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
2,
13
],
"number": 208,
"source_dataset": "prime_factorization",
"source_index": 57
}
| 2
|
Find the prime factorization of 76. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 19
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
19
],
"number": 76,
"source_dataset": "prime_factorization",
"source_index": 58
}
| 2
|
Find the prime factorization of 299. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
13 × 23
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
13,
23
],
"number": 299,
"source_dataset": "prime_factorization",
"source_index": 59
}
| 2
|
Find the prime factorization of 77. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
7 × 11
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
7,
11
],
"number": 77,
"source_dataset": "prime_factorization",
"source_index": 60
}
| 2
|
Find the prime factorization of 367. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
367
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
367
],
"number": 367,
"source_dataset": "prime_factorization",
"source_index": 61
}
| 2
|
Find the prime factorization of 493. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
17 × 29
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
17,
29
],
"number": 493,
"source_dataset": "prime_factorization",
"source_index": 62
}
| 2
|
Find the prime factorization of 451. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
11 × 41
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
11,
41
],
"number": 451,
"source_dataset": "prime_factorization",
"source_index": 63
}
| 2
|
Find the prime factorization of 365. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
5 × 73
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
5,
73
],
"number": 365,
"source_dataset": "prime_factorization",
"source_index": 64
}
| 2
|
Find the prime factorization of 128. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 2 × 2 × 2 × 2
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
2,
2,
2,
2
],
"number": 128,
"source_dataset": "prime_factorization",
"source_index": 65
}
| 2
|
Find the prime factorization of 68. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 17
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
17
],
"number": 68,
"source_dataset": "prime_factorization",
"source_index": 66
}
| 2
|
Find the prime factorization of 145. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
5 × 29
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
5,
29
],
"number": 145,
"source_dataset": "prime_factorization",
"source_index": 67
}
| 2
|
Find the prime factorization of 480. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 2 × 2 × 3 × 5
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
2,
2,
2,
2,
2,
3,
5
],
"number": 480,
"source_dataset": "prime_factorization",
"source_index": 68
}
| 2
|
Find the prime factorization of 425. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
5 × 5 × 17
|
{
"difficulty": {
"value": [
2,
500
]
},
"factors": [
5,
5,
17
],
"number": 425,
"source_dataset": "prime_factorization",
"source_index": 69
}
| 2
|
Find the prime factorization of 1809. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 3 × 3 × 67
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
3,
3,
3,
67
],
"number": 1809,
"source_dataset": "prime_factorization",
"source_index": 0
}
| 3
|
Find the prime factorization of 578. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 17 × 17
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
17,
17
],
"number": 578,
"source_dataset": "prime_factorization",
"source_index": 1
}
| 3
|
Find the prime factorization of 1336. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 167
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
2,
2,
167
],
"number": 1336,
"source_dataset": "prime_factorization",
"source_index": 2
}
| 3
|
Find the prime factorization of 1056. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 2 × 2 × 3 × 11
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
2,
2,
2,
2,
3,
11
],
"number": 1056,
"source_dataset": "prime_factorization",
"source_index": 3
}
| 3
|
Find the prime factorization of 656. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 2 × 41
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
2,
2,
2,
41
],
"number": 656,
"source_dataset": "prime_factorization",
"source_index": 4
}
| 3
|
Find the prime factorization of 1220. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 5 × 61
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
2,
5,
61
],
"number": 1220,
"source_dataset": "prime_factorization",
"source_index": 5
}
| 3
|
Find the prime factorization of 1622. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 811
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
811
],
"number": 1622,
"source_dataset": "prime_factorization",
"source_index": 6
}
| 3
|
Find the prime factorization of 636. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 3 × 53
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
2,
3,
53
],
"number": 636,
"source_dataset": "prime_factorization",
"source_index": 7
}
| 3
|
Find the prime factorization of 1518. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 3 × 11 × 23
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
3,
11,
23
],
"number": 1518,
"source_dataset": "prime_factorization",
"source_index": 8
}
| 3
|
Find the prime factorization of 998. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 499
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
499
],
"number": 998,
"source_dataset": "prime_factorization",
"source_index": 9
}
| 3
|
Find the prime factorization of 1049. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
1049
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
1049
],
"number": 1049,
"source_dataset": "prime_factorization",
"source_index": 10
}
| 3
|
Find the prime factorization of 1763. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
41 × 43
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
41,
43
],
"number": 1763,
"source_dataset": "prime_factorization",
"source_index": 11
}
| 3
|
Find the prime factorization of 781. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
11 × 71
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
11,
71
],
"number": 781,
"source_dataset": "prime_factorization",
"source_index": 12
}
| 3
|
Find the prime factorization of 685. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
5 × 137
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
5,
137
],
"number": 685,
"source_dataset": "prime_factorization",
"source_index": 13
}
| 3
|
Find the prime factorization of 1646. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 823
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
823
],
"number": 1646,
"source_dataset": "prime_factorization",
"source_index": 14
}
| 3
|
Find the prime factorization of 587. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
587
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
587
],
"number": 587,
"source_dataset": "prime_factorization",
"source_index": 15
}
| 3
|
Find the prime factorization of 1689. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 563
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
3,
563
],
"number": 1689,
"source_dataset": "prime_factorization",
"source_index": 16
}
| 3
|
Find the prime factorization of 959. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
7 × 137
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
7,
137
],
"number": 959,
"source_dataset": "prime_factorization",
"source_index": 17
}
| 3
|
Find the prime factorization of 1130. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 5 × 113
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
5,
113
],
"number": 1130,
"source_dataset": "prime_factorization",
"source_index": 18
}
| 3
|
Find the prime factorization of 1512. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 2 × 2 × 3 × 3 × 3 × 7
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
2,
2,
3,
3,
3,
7
],
"number": 1512,
"source_dataset": "prime_factorization",
"source_index": 19
}
| 3
|
Find the prime factorization of 1678. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 839
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
839
],
"number": 1678,
"source_dataset": "prime_factorization",
"source_index": 20
}
| 3
|
Find the prime factorization of 1411. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
17 × 83
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
17,
83
],
"number": 1411,
"source_dataset": "prime_factorization",
"source_index": 21
}
| 3
|
Find the prime factorization of 1475. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
5 × 5 × 59
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
5,
5,
59
],
"number": 1475,
"source_dataset": "prime_factorization",
"source_index": 22
}
| 3
|
Find the prime factorization of 1349. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
19 × 71
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
19,
71
],
"number": 1349,
"source_dataset": "prime_factorization",
"source_index": 23
}
| 3
|
Find the prime factorization of 645. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 5 × 43
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
3,
5,
43
],
"number": 645,
"source_dataset": "prime_factorization",
"source_index": 24
}
| 3
|
Find the prime factorization of 653. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
653
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
653
],
"number": 653,
"source_dataset": "prime_factorization",
"source_index": 25
}
| 3
|
Find the prime factorization of 1455. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
3 × 5 × 97
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
3,
5,
97
],
"number": 1455,
"source_dataset": "prime_factorization",
"source_index": 26
}
| 3
|
Find the prime factorization of 1901. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
1901
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
1901
],
"number": 1901,
"source_dataset": "prime_factorization",
"source_index": 27
}
| 3
|
Find the prime factorization of 742. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
2 × 7 × 53
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
2,
7,
53
],
"number": 742,
"source_dataset": "prime_factorization",
"source_index": 28
}
| 3
|
Find the prime factorization of 1163. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
1163
|
{
"difficulty": {
"value": [
500,
2000
]
},
"factors": [
1163
],
"number": 1163,
"source_dataset": "prime_factorization",
"source_index": 29
}
| 3
|
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