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
490325
5 5 11 1783
[ "490325 5 98065", "98065 5 19613", "19613 11 1783", "1783 1783 1" ]
1478874
2 3 103 2393
[ "1478874 2 739437", "739437 3 246479", "246479 103 2393", "2393 2393 1" ]
799990
2 5 79999
[ "799990 2 399995", "399995 5 79999", "79999 79999 1" ]
1273598
2 71 8969
[ "1273598 2 636799", "636799 71 8969", "8969 8969 1" ]
2345610
2 3 5 41 1907
[ "2345610 2 1172805", "1172805 3 390935", "390935 5 78187", "78187 41 1907", "1907 1907 1" ]
3830636
2 2 957659
[ "3830636 2 1915318", "1915318 2 957659", "957659 957659 1" ]
4616105
5 13 47 1511
[ "4616105 5 923221", "923221 13 71017", "71017 47 1511", "1511 1511 1" ]
3842353
3842353
[ "3842353 3842353 1" ]
4974881
137 36313
[ "4974881 137 36313", "36313 36313 1" ]
406011
3 17 19 419
[ "406011 3 135337", "135337 17 7961", "7961 19 419", "419 419 1" ]
100165
5 13 23 67
[ "100165 5 20033", "20033 13 1541", "1541 23 67", "67 67 1" ]
3360204
2 2 3 3 3 3 3 3457
[ "3360204 2 1680102", "1680102 2 840051", "840051 3 280017", "280017 3 93339", "93339 3 31113", "31113 3 10371", "10371 3 3457", "3457 3457 1" ]
4917117
3 103 15913
[ "4917117 3 1639039", "1639039 103 15913", "15913 15913 1" ]
700790
2 5 70079
[ "700790 2 350395", "350395 5 70079", "70079 70079 1" ]
1229927
19 19 3407
[ "1229927 19 64733", "64733 19 3407", "3407 3407 1" ]
182612
2 2 71 643
[ "182612 2 91306", "91306 2 45653", "45653 71 643", "643 643 1" ]
3428319
3 1142773
[ "3428319 3 1142773", "1142773 1142773 1" ]
4641375
3 5 5 5 12377
[ "4641375 3 1547125", "1547125 5 309425", "309425 5 61885", "61885 5 12377", "12377 12377 1" ]
253272
2 2 2 3 61 173
[ "253272 2 126636", "126636 2 63318", "63318 2 31659", "31659 3 10553", "10553 61 173", "173 173 1" ]
3982917
3 97 13687
[ "3982917 3 1327639", "1327639 97 13687", "13687 13687 1" ]
4543548
2 2 3 378629
[ "4543548 2 2271774", "2271774 2 1135887", "1135887 3 378629", "378629 378629 1" ]
4594977
3 3 510553
[ "4594977 3 1531659", "1531659 3 510553", "510553 510553 1" ]
1457773
349 4177
[ "1457773 349 4177", "4177 4177 1" ]
1090200
2 2 2 3 5 5 23 79
[ "1090200 2 545100", "545100 2 272550", "272550 2 136275", "136275 3 45425", "45425 5 9085", "9085 5 1817", "1817 23 79", "79 79 1" ]
395391
3 131797
[ "395391 3 131797", "131797 131797 1" ]
1595252
2 2 398813
[ "1595252 2 797626", "797626 2 398813", "398813 398813 1" ]
4049829
3 3 7 64283
[ "4049829 3 1349943", "1349943 3 449981", "449981 7 64283", "64283 64283 1" ]
654990
2 3 5 7 3119
[ "654990 2 327495", "327495 3 109165", "109165 5 21833", "21833 7 3119", "3119 3119 1" ]
664302
2 3 53 2089
[ "664302 2 332151", "332151 3 110717", "110717 53 2089", "2089 2089 1" ]
3677881
3677881
[ "3677881 3677881 1" ]
2437976
2 2 2 193 1579
[ "2437976 2 1218988", "1218988 2 609494", "609494 2 304747", "304747 193 1579", "1579 1579 1" ]
3034628
2 2 61 12437
[ "3034628 2 1517314", "1517314 2 758657", "758657 61 12437", "12437 12437 1" ]
3200816
2 2 2 2 19 10529
[ "3200816 2 1600408", "1600408 2 800204", "800204 2 400102", "400102 2 200051", "200051 19 10529", "10529 10529 1" ]
697484
2 2 127 1373
[ "697484 2 348742", "348742 2 174371", "174371 127 1373", "1373 1373 1" ]
2891412
2 2 3 3 80317
[ "2891412 2 1445706", "1445706 2 722853", "722853 3 240951", "240951 3 80317", "80317 80317 1" ]
3368272
2 2 2 2 131 1607
[ "3368272 2 1684136", "1684136 2 842068", "842068 2 421034", "421034 2 210517", "210517 131 1607", "1607 1607 1" ]
381893
521 733
[ "381893 521 733", "733 733 1" ]
492814
2 7 35201
[ "492814 2 246407", "246407 7 35201", "35201 35201 1" ]
225341
225341
[ "225341 225341 1" ]
1286777
1286777
[ "1286777 1286777 1" ]
1143105
3 5 76207
[ "1143105 3 381035", "381035 5 76207", "76207 76207 1" ]
3547030
2 5 354703
[ "3547030 2 1773515", "1773515 5 354703", "354703 354703 1" ]
4217785
5 11 13 17 347
[ "4217785 5 843557", "843557 11 76687", "76687 13 5899", "5899 17 347", "347 347 1" ]
3474760
2 2 2 5 86869
[ "3474760 2 1737380", "1737380 2 868690", "868690 2 434345", "434345 5 86869", "86869 86869 1" ]
3053505
3 5 7 13 2237
[ "3053505 3 1017835", "1017835 5 203567", "203567 7 29081", "29081 13 2237", "2237 2237 1" ]
2118092
2 2 53 97 103
[ "2118092 2 1059046", "1059046 2 529523", "529523 53 9991", "9991 97 103", "103 103 1" ]
3000229
3000229
[ "3000229 3000229 1" ]
3099973
229 13537
[ "3099973 229 13537", "13537 13537 1" ]
2519162
2 17 74093
[ "2519162 2 1259581", "1259581 17 74093", "74093 74093 1" ]
523986
2 3 23 3797
[ "523986 2 261993", "261993 3 87331", "87331 23 3797", "3797 3797 1" ]
2385562
2 1192781
[ "2385562 2 1192781", "1192781 1192781 1" ]
4001924
2 2 43 53 439
[ "4001924 2 2000962", "2000962 2 1000481", "1000481 43 23267", "23267 53 439", "439 439 1" ]
2737415
5 547483
[ "2737415 5 547483", "547483 547483 1" ]
1469741
7 13 31 521
[ "1469741 7 209963", "209963 13 16151", "16151 31 521", "521 521 1" ]
1706992
2 2 2 2 7 15241
[ "1706992 2 853496", "853496 2 426748", "426748 2 213374", "213374 2 106687", "106687 7 15241", "15241 15241 1" ]
789177
3 29 47 193
[ "789177 3 263059", "263059 29 9071", "9071 47 193", "193 193 1" ]
4340322
2 3 3 7 7 7 19 37
[ "4340322 2 2170161", "2170161 3 723387", "723387 3 241129", "241129 7 34447", "34447 7 4921", "4921 7 703", "703 19 37", "37 37 1" ]
938298
2 3 17 9199
[ "938298 2 469149", "469149 3 156383", "156383 17 9199", "9199 9199 1" ]
4646725
5 5 185869
[ "4646725 5 929345", "929345 5 185869", "185869 185869 1" ]
2755727
13 211979
[ "2755727 13 211979", "211979 211979 1" ]
4712008
2 2 2 7 84143
[ "4712008 2 2356004", "2356004 2 1178002", "1178002 2 589001", "589001 7 84143", "84143 84143 1" ]
1031809
1031809
[ "1031809 1031809 1" ]
1464525
3 3 5 5 23 283
[ "1464525 3 488175", "488175 3 162725", "162725 5 32545", "32545 5 6509", "6509 23 283", "283 283 1" ]
2054050
2 5 5 41081
[ "2054050 2 1027025", "1027025 5 205405", "205405 5 41081", "41081 41081 1" ]
1673820
2 2 3 3 5 17 547
[ "1673820 2 836910", "836910 2 418455", "418455 3 139485", "139485 3 46495", "46495 5 9299", "9299 17 547", "547 547 1" ]
320648
2 2 2 149 269
[ "320648 2 160324", "160324 2 80162", "80162 2 40081", "40081 149 269", "269 269 1" ]
4822168
2 2 2 13 199 233
[ "4822168 2 2411084", "2411084 2 1205542", "1205542 2 602771", "602771 13 46367", "46367 199 233", "233 233 1" ]
3252878
2 139 11701
[ "3252878 2 1626439", "1626439 139 11701", "11701 11701 1" ]
4930482
2 3 821747
[ "4930482 2 2465241", "2465241 3 821747", "821747 821747 1" ]
3898489
7 7 79561
[ "3898489 7 556927", "556927 7 79561", "79561 79561 1" ]
4834062
2 3 3 101 2659
[ "4834062 2 2417031", "2417031 3 805677", "805677 3 268559", "268559 101 2659", "2659 2659 1" ]
1056524
2 2 7 97 389
[ "1056524 2 528262", "528262 2 264131", "264131 7 37733", "37733 97 389", "389 389 1" ]
1905112
2 2 2 11 21649
[ "1905112 2 952556", "952556 2 476278", "476278 2 238139", "238139 11 21649", "21649 21649 1" ]
2193472
2 2 2 2 2 2 34273
[ "2193472 2 1096736", "1096736 2 548368", "548368 2 274184", "274184 2 137092", "137092 2 68546", "68546 2 34273", "34273 34273 1" ]
2690055
3 3 5 59779
[ "2690055 3 896685", "896685 3 298895", "298895 5 59779", "59779 59779 1" ]
4798246
2 1193 2011
[ "4798246 2 2399123", "2399123 1193 2011", "2011 2011 1" ]
4287930
2 3 5 37 3863
[ "4287930 2 2143965", "2143965 3 714655", "714655 5 142931", "142931 37 3863", "3863 3863 1" ]
3893346
2 3 3 3 3 3 8011
[ "3893346 2 1946673", "1946673 3 648891", "648891 3 216297", "216297 3 72099", "72099 3 24033", "24033 3 8011", "8011 8011 1" ]
1306909
17 59 1303
[ "1306909 17 76877", "76877 59 1303", "1303 1303 1" ]
3513726
2 3 3 3 31 2099
[ "3513726 2 1756863", "1756863 3 585621", "585621 3 195207", "195207 3 65069", "65069 31 2099", "2099 2099 1" ]
4421797
4421797
[ "4421797 4421797 1" ]
3272886
2 3 3 3 3 89 227
[ "3272886 2 1636443", "1636443 3 545481", "545481 3 181827", "181827 3 60609", "60609 3 20203", "20203 89 227", "227 227 1" ]
4282146
2 3 3 3 3 3 3 3 11 89
[ "4282146 2 2141073", "2141073 3 713691", "713691 3 237897", "237897 3 79299", "79299 3 26433", "26433 3 8811", "8811 3 2937", "2937 3 979", "979 11 89", "89 89 1" ]
2561554
2 347 3691
[ "2561554 2 1280777", "1280777 347 3691", "3691 3691 1" ]
3309799
29 61 1871
[ "3309799 29 114131", "114131 61 1871", "1871 1871 1" ]
3350195
5 670039
[ "3350195 5 670039", "670039 670039 1" ]
3878031
3 79 16363
[ "3878031 3 1292677", "1292677 79 16363", "16363 16363 1" ]
1231535
5 23 10709
[ "1231535 5 246307", "246307 23 10709", "10709 10709 1" ]
1816814
2 113 8039
[ "1816814 2 908407", "908407 113 8039", "8039 8039 1" ]
4276230
2 3 5 7 7 2909
[ "4276230 2 2138115", "2138115 3 712705", "712705 5 142541", "142541 7 20363", "20363 7 2909", "2909 2909 1" ]
705129
3 235043
[ "705129 3 235043", "235043 235043 1" ]
1012989
3 23 53 277
[ "1012989 3 337663", "337663 23 14681", "14681 53 277", "277 277 1" ]
2406860
2 2 5 17 7079
[ "2406860 2 1203430", "1203430 2 601715", "601715 5 120343", "120343 17 7079", "7079 7079 1" ]
4962474
2 3 3 11 71 353
[ "4962474 2 2481237", "2481237 3 827079", "827079 3 275693", "275693 11 25063", "25063 71 353", "353 353 1" ]
4963527
3 3 551503
[ "4963527 3 1654509", "1654509 3 551503", "551503 551503 1" ]
1030962
2 3 171827
[ "1030962 2 515481", "515481 3 171827", "171827 171827 1" ]
3470889
3 1156963
[ "3470889 3 1156963", "1156963 1156963 1" ]
3684031
13 13 21799
[ "3684031 13 283387", "283387 13 21799", "21799 21799 1" ]
3005611
7 7 61339
[ "3005611 7 429373", "429373 7 61339", "61339 61339 1" ]
493123
493123
[ "493123 493123 1" ]