Datasets:
yimingzhang
/
prime-factorization

Dataset card Data Studio Files
xet
Community
input
stringlengths
3
7
output
stringlengths
3
41
step_by_step_solution
listlengths
1
21
3064432
2 2 2 2 7 27361
[ "3064432 2 1532216", "1532216 2 766108", "766108 2 383054", "383054 2 191527", "191527 7 27361", "27361 27361 1" ]
1576087
17 83 1117
[ "1576087 17 92711", "92711 83 1117", "1117 1117 1" ]
4271959
53 80603
[ "4271959 53 80603", "80603 80603 1" ]
3375423
3 3 113 3319
[ "3375423 3 1125141", "1125141 3 375047", "375047 113 3319", "3319 3319 1" ]
4102639
1049 3911
[ "4102639 1049 3911", "3911 3911 1" ]
4771079
541 8819
[ "4771079 541 8819", "8819 8819 1" ]
1574870
2 5 11 103 139
[ "1574870 2 787435", "787435 5 157487", "157487 11 14317", "14317 103 139", "139 139 1" ]
1372479
3 23 19891
[ "1372479 3 457493", "457493 23 19891", "19891 19891 1" ]
1253010
2 3 5 11 3797
[ "1253010 2 626505", "626505 3 208835", "208835 5 41767", "41767 11 3797", "3797 3797 1" ]
4710762
2 3 3 7 7 7 7 109
[ "4710762 2 2355381", "2355381 3 785127", "785127 3 261709", "261709 7 37387", "37387 7 5341", "5341 7 763", "763 7 109", "109 109 1" ]
2224958
2 37 107 281
[ "2224958 2 1112479", "1112479 37 30067", "30067 107 281", "281 281 1" ]
3631416
2 2 2 3 83 1823
[ "3631416 2 1815708", "1815708 2 907854", "907854 2 453927", "453927 3 151309", "151309 83 1823", "1823 1823 1" ]
4142031
3 1380677
[ "4142031 3 1380677", "1380677 1380677 1" ]
3136432
2 2 2 2 13 17 887
[ "3136432 2 1568216", "1568216 2 784108", "784108 2 392054", "392054 2 196027", "196027 13 15079", "15079 17 887", "887 887 1" ]
4767890
2 5 29 41 401
[ "4767890 2 2383945", "2383945 5 476789", "476789 29 16441", "16441 41 401", "401 401 1" ]
922801
11 83891
[ "922801 11 83891", "83891 83891 1" ]
1963113
3 654371
[ "1963113 3 654371", "654371 654371 1" ]
3953585
5 23 31 1109
[ "3953585 5 790717", "790717 23 34379", "34379 31 1109", "1109 1109 1" ]
1548146
2 774073
[ "1548146 2 774073", "774073 774073 1" ]
1188936
2 2 2 3 3 7 7 337
[ "1188936 2 594468", "594468 2 297234", "297234 2 148617", "148617 3 49539", "49539 3 16513", "16513 7 2359", "2359 7 337", "337 337 1" ]
2620122
2 3 436687
[ "2620122 2 1310061", "1310061 3 436687", "436687 436687 1" ]
4905314
2 241 10177
[ "4905314 2 2452657", "2452657 241 10177", "10177 10177 1" ]
1254332
2 2 313583
[ "1254332 2 627166", "627166 2 313583", "313583 313583 1" ]
2877382
2 67 109 197
[ "2877382 2 1438691", "1438691 67 21473", "21473 109 197", "197 197 1" ]
707645
5 141529
[ "707645 5 141529", "141529 141529 1" ]
1809539
1809539
[ "1809539 1809539 1" ]
1286517
3 43 9973
[ "1286517 3 428839", "428839 43 9973", "9973 9973 1" ]
4501959
3 7 11 19489
[ "4501959 3 1500653", "1500653 7 214379", "214379 11 19489", "19489 19489 1" ]
863341
19 45439
[ "863341 19 45439", "45439 45439 1" ]
4240807
4240807
[ "4240807 4240807 1" ]
4217808
2 2 2 2 3 7 12553
[ "4217808 2 2108904", "2108904 2 1054452", "1054452 2 527226", "527226 2 263613", "263613 3 87871", "87871 7 12553", "12553 12553 1" ]
869584
2 2 2 2 17 23 139
[ "869584 2 434792", "434792 2 217396", "217396 2 108698", "108698 2 54349", "54349 17 3197", "3197 23 139", "139 139 1" ]
1112395
5 17 23 569
[ "1112395 5 222479", "222479 17 13087", "13087 23 569", "569 569 1" ]
1548555
3 5 103237
[ "1548555 3 516185", "516185 5 103237", "103237 103237 1" ]
2934465
3 5 83 2357
[ "2934465 3 978155", "978155 5 195631", "195631 83 2357", "2357 2357 1" ]
4589749
97 47317
[ "4589749 97 47317", "47317 47317 1" ]
3686050
2 5 5 73721
[ "3686050 2 1843025", "1843025 5 368605", "368605 5 73721", "73721 73721 1" ]
852192
2 2 2 2 2 3 3 11 269
[ "852192 2 426096", "426096 2 213048", "213048 2 106524", "106524 2 53262", "53262 2 26631", "26631 3 8877", "8877 3 2959", "2959 11 269", "269 269 1" ]
326145
3 5 17 1279
[ "326145 3 108715", "108715 5 21743", "21743 17 1279", "1279 1279 1" ]
2373913
2373913
[ "2373913 2373913 1" ]
4753946
2 311 7643
[ "4753946 2 2376973", "2376973 311 7643", "7643 7643 1" ]
2230886
2 7 159349
[ "2230886 2 1115443", "1115443 7 159349", "159349 159349 1" ]
2814325
5 5 112573
[ "2814325 5 562865", "562865 5 112573", "112573 112573 1" ]
3903916
2 2 659 1481
[ "3903916 2 1951958", "1951958 2 975979", "975979 659 1481", "1481 1481 1" ]
4623809
4623809
[ "4623809 4623809 1" ]
2203660
2 2 5 110183
[ "2203660 2 1101830", "1101830 2 550915", "550915 5 110183", "110183 110183 1" ]
4882107
3 19 97 883
[ "4882107 3 1627369", "1627369 19 85651", "85651 97 883", "883 883 1" ]
2139855
3 5 142657
[ "2139855 3 713285", "713285 5 142657", "142657 142657 1" ]
2579604
2 2 3 214967
[ "2579604 2 1289802", "1289802 2 644901", "644901 3 214967", "214967 214967 1" ]
1399080
2 2 2 3 5 89 131
[ "1399080 2 699540", "699540 2 349770", "349770 2 174885", "174885 3 58295", "58295 5 11659", "11659 89 131", "131 131 1" ]
4410512
2 2 2 2 275657
[ "4410512 2 2205256", "2205256 2 1102628", "1102628 2 551314", "551314 2 275657", "275657 275657 1" ]
1401355
5 31 9041
[ "1401355 5 280271", "280271 31 9041", "9041 9041 1" ]
2427513
3 11 73561
[ "2427513 3 809171", "809171 11 73561", "73561 73561 1" ]
4826637
3 3 536293
[ "4826637 3 1608879", "1608879 3 536293", "536293 536293 1" ]
2019474
2 3 3 151 743
[ "2019474 2 1009737", "1009737 3 336579", "336579 3 112193", "112193 151 743", "743 743 1" ]
4507454
2 7 321961
[ "4507454 2 2253727", "2253727 7 321961", "321961 321961 1" ]
4131844
2 2 1032961
[ "4131844 2 2065922", "2065922 2 1032961", "1032961 1032961 1" ]
1140208
2 2 2 2 71263
[ "1140208 2 570104", "570104 2 285052", "285052 2 142526", "142526 2 71263", "71263 71263 1" ]
2370926
2 1185463
[ "2370926 2 1185463", "1185463 1185463 1" ]
2715394
2 11 123427
[ "2715394 2 1357697", "1357697 11 123427", "123427 123427 1" ]
4742638
2 857 2767
[ "4742638 2 2371319", "2371319 857 2767", "2767 2767 1" ]
2263442
2 1131721
[ "2263442 2 1131721", "1131721 1131721 1" ]
4365326
2 7 19 16411
[ "4365326 2 2182663", "2182663 7 311809", "311809 19 16411", "16411 16411 1" ]
736904
2 2 2 7 13159
[ "736904 2 368452", "368452 2 184226", "184226 2 92113", "92113 7 13159", "13159 13159 1" ]
3133697
7 7 31 2063
[ "3133697 7 447671", "447671 7 63953", "63953 31 2063", "2063 2063 1" ]
1713947
149 11503
[ "1713947 149 11503", "11503 11503 1" ]
2627312
2 2 2 2 31 5297
[ "2627312 2 1313656", "1313656 2 656828", "656828 2 328414", "328414 2 164207", "164207 31 5297", "5297 5297 1" ]
1176806
2 588403
[ "1176806 2 588403", "588403 588403 1" ]
3506036
2 2 61 14369
[ "3506036 2 1753018", "1753018 2 876509", "876509 61 14369", "14369 14369 1" ]
29812
2 2 29 257
[ "29812 2 14906", "14906 2 7453", "7453 29 257", "257 257 1" ]
2536672
2 2 2 2 2 17 4663
[ "2536672 2 1268336", "1268336 2 634168", "634168 2 317084", "317084 2 158542", "158542 2 79271", "79271 17 4663", "4663 4663 1" ]
1383010
2 5 19 29 251
[ "1383010 2 691505", "691505 5 138301", "138301 19 7279", "7279 29 251", "251 251 1" ]
453840
2 2 2 2 3 5 31 61
[ "453840 2 226920", "226920 2 113460", "113460 2 56730", "56730 2 28365", "28365 3 9455", "9455 5 1891", "1891 31 61", "61 61 1" ]
3635013
3 463 2617
[ "3635013 3 1211671", "1211671 463 2617", "2617 2617 1" ]
504425
5 5 20177
[ "504425 5 100885", "100885 5 20177", "20177 20177 1" ]
873160
2 2 2 5 83 263
[ "873160 2 436580", "436580 2 218290", "218290 2 109145", "109145 5 21829", "21829 83 263", "263 263 1" ]
2460234
2 3 7 19 3083
[ "2460234 2 1230117", "1230117 3 410039", "410039 7 58577", "58577 19 3083", "3083 3083 1" ]
3160843
7 7 251 257
[ "3160843 7 451549", "451549 7 64507", "64507 251 257", "257 257 1" ]
4800087
3 3 3 139 1279
[ "4800087 3 1600029", "1600029 3 533343", "533343 3 177781", "177781 139 1279", "1279 1279 1" ]
276984
2 2 2 3 3 3847
[ "276984 2 138492", "138492 2 69246", "69246 2 34623", "34623 3 11541", "11541 3 3847", "3847 3847 1" ]
1247600
2 2 2 2 5 5 3119
[ "1247600 2 623800", "623800 2 311900", "311900 2 155950", "155950 2 77975", "77975 5 15595", "15595 5 3119", "3119 3119 1" ]
3956797
13 13 13 1801
[ "3956797 13 304369", "304369 13 23413", "23413 13 1801", "1801 1801 1" ]
4140568
2 2 2 517571
[ "4140568 2 2070284", "2070284 2 1035142", "1035142 2 517571", "517571 517571 1" ]
4239550
2 5 5 7 12113
[ "4239550 2 2119775", "2119775 5 423955", "423955 5 84791", "84791 7 12113", "12113 12113 1" ]
1639913
11 11 13553
[ "1639913 11 149083", "149083 11 13553", "13553 13553 1" ]
1585624
2 2 2 17 89 131
[ "1585624 2 792812", "792812 2 396406", "396406 2 198203", "198203 17 11659", "11659 89 131", "131 131 1" ]
3118838
2 53 29423
[ "3118838 2 1559419", "1559419 53 29423", "29423 29423 1" ]
1046491
43 24337
[ "1046491 43 24337", "24337 24337 1" ]
2320618
2 1160309
[ "2320618 2 1160309", "1160309 1160309 1" ]
3170528
2 2 2 2 2 99079
[ "3170528 2 1585264", "1585264 2 792632", "792632 2 396316", "396316 2 198158", "198158 2 99079", "99079 99079 1" ]
4670989
4670989
[ "4670989 4670989 1" ]
2463226
2 1231613
[ "2463226 2 1231613", "1231613 1231613 1" ]
809549
13 62273
[ "809549 13 62273", "62273 62273 1" ]
374422
2 187211
[ "374422 2 187211", "187211 187211 1" ]
2027416
2 2 2 253427
[ "2027416 2 1013708", "1013708 2 506854", "506854 2 253427", "253427 253427 1" ]
3511080
2 2 2 3 3 3 5 3251
[ "3511080 2 1755540", "1755540 2 877770", "877770 2 438885", "438885 3 146295", "146295 3 48765", "48765 3 16255", "16255 5 3251", "3251 3251 1" ]
4261243
7 608749
[ "4261243 7 608749", "608749 608749 1" ]
4514124
2 2 3 113 3329
[ "4514124 2 2257062", "2257062 2 1128531", "1128531 3 376177", "376177 113 3329", "3329 3329 1" ]
473026
2 163 1451
[ "473026 2 236513", "236513 163 1451", "1451 1451 1" ]
1817115
3 5 23 23 229
[ "1817115 3 605705", "605705 5 121141", "121141 23 5267", "5267 23 229", "229 229 1" ]