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
4572785
5 7 130651
[ "4572785 5 914557", "914557 7 130651", "130651 130651 1" ]
54299
7 7757
[ "54299 7 7757", "7757 7757 1" ]
4117403
409 10067
[ "4117403 409 10067", "10067 10067 1" ]
1209255
3 5 19 4243
[ "1209255 3 403085", "403085 5 80617", "80617 19 4243", "4243 4243 1" ]
823375
5 5 5 7 941
[ "823375 5 164675", "164675 5 32935", "32935 5 6587", "6587 7 941", "941 941 1" ]
1166543
7 7 7 19 179
[ "1166543 7 166649", "166649 7 23807", "23807 7 3401", "3401 19 179", "179 179 1" ]
4358050
2 5 5 43 2027
[ "4358050 2 2179025", "2179025 5 435805", "435805 5 87161", "87161 43 2027", "2027 2027 1" ]
2166626
2 7 11 11 1279
[ "2166626 2 1083313", "1083313 7 154759", "154759 11 14069", "14069 11 1279", "1279 1279 1" ]
148568
2 2 2 7 7 379
[ "148568 2 74284", "74284 2 37142", "37142 2 18571", "18571 7 2653", "2653 7 379", "379 379 1" ]
3660428
2 2 211 4337
[ "3660428 2 1830214", "1830214 2 915107", "915107 211 4337", "4337 4337 1" ]
2463204
2 2 3 205267
[ "2463204 2 1231602", "1231602 2 615801", "615801 3 205267", "205267 205267 1" ]
267299
267299
[ "267299 267299 1" ]
4932499
11 13 17 2029
[ "4932499 11 448409", "448409 13 34493", "34493 17 2029", "2029 2029 1" ]
2527248
2 2 2 2 3 37 1423
[ "2527248 2 1263624", "1263624 2 631812", "631812 2 315906", "315906 2 157953", "157953 3 52651", "52651 37 1423", "1423 1423 1" ]
2888605
5 577721
[ "2888605 5 577721", "577721 577721 1" ]
3308790
2 3 5 53 2081
[ "3308790 2 1654395", "1654395 3 551465", "551465 5 110293", "110293 53 2081", "2081 2081 1" ]
4498766
2 41 83 661
[ "4498766 2 2249383", "2249383 41 54863", "54863 83 661", "661 661 1" ]
2397110
2 5 239711
[ "2397110 2 1198555", "1198555 5 239711", "239711 239711 1" ]
71346
2 3 11 23 47
[ "71346 2 35673", "35673 3 11891", "11891 11 1081", "1081 23 47", "47 47 1" ]
2976507
3 3 3 3 3 3 3 1361
[ "2976507 3 992169", "992169 3 330723", "330723 3 110241", "110241 3 36747", "36747 3 12249", "12249 3 4083", "4083 3 1361", "1361 1361 1" ]
4911544
2 2 2 11 55813
[ "4911544 2 2455772", "2455772 2 1227886", "1227886 2 613943", "613943 11 55813", "55813 55813 1" ]
4269507
3 11 129379
[ "4269507 3 1423169", "1423169 11 129379", "129379 129379 1" ]
2720914
2 7 19 53 193
[ "2720914 2 1360457", "1360457 7 194351", "194351 19 10229", "10229 53 193", "193 193 1" ]
3251591
7 7 66359
[ "3251591 7 464513", "464513 7 66359", "66359 66359 1" ]
4433382
2 3 3 71 3469
[ "4433382 2 2216691", "2216691 3 738897", "738897 3 246299", "246299 71 3469", "3469 3469 1" ]
4249945
5 7 31 3917
[ "4249945 5 849989", "849989 7 121427", "121427 31 3917", "3917 3917 1" ]
3392807
11 308437
[ "3392807 11 308437", "308437 308437 1" ]
4736975
5 5 189479
[ "4736975 5 947395", "947395 5 189479", "189479 189479 1" ]
2911173
3 970391
[ "2911173 3 970391", "970391 970391 1" ]
2767503
3 73 12637
[ "2767503 3 922501", "922501 73 12637", "12637 12637 1" ]
4135772
2 2 31 33353
[ "4135772 2 2067886", "2067886 2 1033943", "1033943 31 33353", "33353 33353 1" ]
1515117
3 19 19 1399
[ "1515117 3 505039", "505039 19 26581", "26581 19 1399", "1399 1399 1" ]
2947363
2947363
[ "2947363 2947363 1" ]
1950984
2 2 2 3 3 7 7 7 79
[ "1950984 2 975492", "975492 2 487746", "487746 2 243873", "243873 3 81291", "81291 3 27097", "27097 7 3871", "3871 7 553", "553 7 79", "79 79 1" ]
1591676
2 2 17 89 263
[ "1591676 2 795838", "795838 2 397919", "397919 17 23407", "23407 89 263", "263 263 1" ]
1119110
2 5 17 29 227
[ "1119110 2 559555", "559555 5 111911", "111911 17 6583", "6583 29 227", "227 227 1" ]
4974736
2 2 2 2 13 23917
[ "4974736 2 2487368", "2487368 2 1243684", "1243684 2 621842", "621842 2 310921", "310921 13 23917", "23917 23917 1" ]
3954487
71 55697
[ "3954487 71 55697", "55697 55697 1" ]
898981
898981
[ "898981 898981 1" ]
4999422
2 3 83 10039
[ "4999422 2 2499711", "2499711 3 833237", "833237 83 10039", "10039 10039 1" ]
4589536
2 2 2 2 2 7 7 2927
[ "4589536 2 2294768", "2294768 2 1147384", "1147384 2 573692", "573692 2 286846", "286846 2 143423", "143423 7 20489", "20489 7 2927", "2927 2927 1" ]
3334154
2 1667077
[ "3334154 2 1667077", "1667077 1667077 1" ]
2420519
2420519
[ "2420519 2420519 1" ]
4208253
3 7 19 53 199
[ "4208253 3 1402751", "1402751 7 200393", "200393 19 10547", "10547 53 199", "199 199 1" ]
1774865
5 354973
[ "1774865 5 354973", "354973 354973 1" ]
2301858
2 3 3 3 3 13 1093
[ "2301858 2 1150929", "1150929 3 383643", "383643 3 127881", "127881 3 42627", "42627 3 14209", "14209 13 1093", "1093 1093 1" ]
1513040
2 2 2 2 5 18913
[ "1513040 2 756520", "756520 2 378260", "378260 2 189130", "189130 2 94565", "94565 5 18913", "18913 18913 1" ]
792485
5 353 449
[ "792485 5 158497", "158497 353 449", "449 449 1" ]
2634333
3 13 67547
[ "2634333 3 878111", "878111 13 67547", "67547 67547 1" ]
4689001
733 6397
[ "4689001 733 6397", "6397 6397 1" ]
4239349
37 114577
[ "4239349 37 114577", "114577 114577 1" ]
1536047
1536047
[ "1536047 1536047 1" ]
363256
2 2 2 17 2671
[ "363256 2 181628", "181628 2 90814", "90814 2 45407", "45407 17 2671", "2671 2671 1" ]
2411561
829 2909
[ "2411561 829 2909", "2909 2909 1" ]
2919469
7 7 59581
[ "2919469 7 417067", "417067 7 59581", "59581 59581 1" ]
494469
3 3 54941
[ "494469 3 164823", "164823 3 54941", "54941 54941 1" ]
1328704
2 2 2 2 2 2 13 1597
[ "1328704 2 664352", "664352 2 332176", "332176 2 166088", "166088 2 83044", "83044 2 41522", "41522 2 20761", "20761 13 1597", "1597 1597 1" ]
4464961
31 144031
[ "4464961 31 144031", "144031 144031 1" ]
3935357
31 37 47 73
[ "3935357 31 126947", "126947 37 3431", "3431 47 73", "73 73 1" ]
4756406
2 29 82007
[ "4756406 2 2378203", "2378203 29 82007", "82007 82007 1" ]
4473023
17 263119
[ "4473023 17 263119", "263119 263119 1" ]
3291014
2 137 12011
[ "3291014 2 1645507", "1645507 137 12011", "12011 12011 1" ]
3923944
2 2 2 490493
[ "3923944 2 1961972", "1961972 2 980986", "980986 2 490493", "490493 490493 1" ]
2393327
2393327
[ "2393327 2393327 1" ]
2461248
2 2 2 2 2 2 3 3 4273
[ "2461248 2 1230624", "1230624 2 615312", "615312 2 307656", "307656 2 153828", "153828 2 76914", "76914 2 38457", "38457 3 12819", "12819 3 4273", "4273 4273 1" ]
2721549
3 907183
[ "2721549 3 907183", "907183 907183 1" ]
1233442
2 7 19 4637
[ "1233442 2 616721", "616721 7 88103", "88103 19 4637", "4637 4637 1" ]
3902708
2 2 41 53 449
[ "3902708 2 1951354", "1951354 2 975677", "975677 41 23797", "23797 53 449", "449 449 1" ]
1097933
1097933
[ "1097933 1097933 1" ]
3708753
3 277 4463
[ "3708753 3 1236251", "1236251 277 4463", "4463 4463 1" ]
3102305
5 620461
[ "3102305 5 620461", "620461 620461 1" ]
25985
5 5197
[ "25985 5 5197", "5197 5197 1" ]
3468429
3 3 29 97 137
[ "3468429 3 1156143", "1156143 3 385381", "385381 29 13289", "13289 97 137", "137 137 1" ]
144274
2 13 31 179
[ "144274 2 72137", "72137 13 5549", "5549 31 179", "179 179 1" ]
4741577
4741577
[ "4741577 4741577 1" ]
4042014
2 3 673669
[ "4042014 2 2021007", "2021007 3 673669", "673669 673669 1" ]
3863129
1171 3299
[ "3863129 1171 3299", "3299 3299 1" ]
661996
2 2 359 461
[ "661996 2 330998", "330998 2 165499", "165499 359 461", "461 461 1" ]
2317080
2 2 2 3 5 19309
[ "2317080 2 1158540", "1158540 2 579270", "579270 2 289635", "289635 3 96545", "96545 5 19309", "19309 19309 1" ]
1402046
2 701023
[ "1402046 2 701023", "701023 701023 1" ]
1095716
2 2 273929
[ "1095716 2 547858", "547858 2 273929", "273929 273929 1" ]
4510920
2 2 2 3 5 37591
[ "4510920 2 2255460", "2255460 2 1127730", "1127730 2 563865", "563865 3 187955", "187955 5 37591", "37591 37591 1" ]
554070
2 3 5 11 23 73
[ "554070 2 277035", "277035 3 92345", "92345 5 18469", "18469 11 1679", "1679 23 73", "73 73 1" ]
1122645
3 5 74843
[ "1122645 3 374215", "374215 5 74843", "74843 74843 1" ]
955440
2 2 2 2 3 3 5 1327
[ "955440 2 477720", "477720 2 238860", "238860 2 119430", "119430 2 59715", "59715 3 19905", "19905 3 6635", "6635 5 1327", "1327 1327 1" ]
406298
2 53 3833
[ "406298 2 203149", "203149 53 3833", "3833 3833 1" ]
1894827
3 11 67 857
[ "1894827 3 631609", "631609 11 57419", "57419 67 857", "857 857 1" ]
1766496
2 2 2 2 2 3 18401
[ "1766496 2 883248", "883248 2 441624", "441624 2 220812", "220812 2 110406", "110406 2 55203", "55203 3 18401", "18401 18401 1" ]
3593001
3 17 70451
[ "3593001 3 1197667", "1197667 17 70451", "70451 70451 1" ]
59002
2 29501
[ "59002 2 29501", "29501 29501 1" ]
2458740
2 2 3 5 43 953
[ "2458740 2 1229370", "1229370 2 614685", "614685 3 204895", "204895 5 40979", "40979 43 953", "953 953 1" ]
2599952
2 2 2 2 43 3779
[ "2599952 2 1299976", "1299976 2 649988", "649988 2 324994", "324994 2 162497", "162497 43 3779", "3779 3779 1" ]
4476412
2 2 109 10267
[ "4476412 2 2238206", "2238206 2 1119103", "1119103 109 10267", "10267 10267 1" ]
3479546
2 7 19 103 127
[ "3479546 2 1739773", "1739773 7 248539", "248539 19 13081", "13081 103 127", "127 127 1" ]
2553779
1009 2531
[ "2553779 1009 2531", "2531 2531 1" ]
4192602
2 3 233 2999
[ "4192602 2 2096301", "2096301 3 698767", "698767 233 2999", "2999 2999 1" ]
3772149
3 373 3371
[ "3772149 3 1257383", "1257383 373 3371", "3371 3371 1" ]
3542030
2 5 127 2789
[ "3542030 2 1771015", "1771015 5 354203", "354203 127 2789", "2789 2789 1" ]
1772976
2 2 2 2 3 43 859
[ "1772976 2 886488", "886488 2 443244", "443244 2 221622", "221622 2 110811", "110811 3 36937", "36937 43 859", "859 859 1" ]
3310915
5 47 73 193
[ "3310915 5 662183", "662183 47 14089", "14089 73 193", "193 193 1" ]