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
3535228
2 2 883807
[ "3535228 2 1767614", "1767614 2 883807", "883807 883807 1" ]
1978586
2 989293
[ "1978586 2 989293", "989293 989293 1" ]
4943152
2 2 2 2 227 1361
[ "4943152 2 2471576", "2471576 2 1235788", "1235788 2 617894", "617894 2 308947", "308947 227 1361", "1361 1361 1" ]
2639841
3 19 29 1597
[ "2639841 3 879947", "879947 19 46313", "46313 29 1597", "1597 1597 1" ]
503284
2 2 125821
[ "503284 2 251642", "251642 2 125821", "125821 125821 1" ]
1189645
5 237929
[ "1189645 5 237929", "237929 237929 1" ]
1863824
2 2 2 2 19 6131
[ "1863824 2 931912", "931912 2 465956", "465956 2 232978", "232978 2 116489", "116489 19 6131", "6131 6131 1" ]
4675455
3 3 3 5 59 587
[ "4675455 3 1558485", "1558485 3 519495", "519495 3 173165", "173165 5 34633", "34633 59 587", "587 587 1" ]
882827
11 17 4721
[ "882827 11 80257", "80257 17 4721", "4721 4721 1" ]
1025641
1025641
[ "1025641 1025641 1" ]
132457
13 23 443
[ "132457 13 10189", "10189 23 443", "443 443 1" ]
277780
2 2 5 17 19 43
[ "277780 2 138890", "138890 2 69445", "69445 5 13889", "13889 17 817", "817 19 43", "43 43 1" ]
4818135
3 5 7 45887
[ "4818135 3 1606045", "1606045 5 321209", "321209 7 45887", "45887 45887 1" ]
1004301
3 3 151 739
[ "1004301 3 334767", "334767 3 111589", "111589 151 739", "739 739 1" ]
4834048
2 2 2 2 2 2 2 2 23 821
[ "4834048 2 2417024", "2417024 2 1208512", "1208512 2 604256", "604256 2 302128", "302128 2 151064", "151064 2 75532", "75532 2 37766", "37766 2 18883", "18883 23 821", "821 821 1" ]
3409601
13 41 6397
[ "3409601 13 262277", "262277 41 6397", "6397 6397 1" ]
1458622
2 11 66301
[ "1458622 2 729311", "729311 11 66301", "66301 66301 1" ]
2776477
11 173 1459
[ "2776477 11 252407", "252407 173 1459", "1459 1459 1" ]
4053107
4053107
[ "4053107 4053107 1" ]
1719576
2 2 2 3 3 3 19 419
[ "1719576 2 859788", "859788 2 429894", "429894 2 214947", "214947 3 71649", "71649 3 23883", "23883 3 7961", "7961 19 419", "419 419 1" ]
3159196
2 2 131 6029
[ "3159196 2 1579598", "1579598 2 789799", "789799 131 6029", "6029 6029 1" ]
2949254
2 7 11 11 1741
[ "2949254 2 1474627", "1474627 7 210661", "210661 11 19151", "19151 11 1741", "1741 1741 1" ]
3190724
2 2 797681
[ "3190724 2 1595362", "1595362 2 797681", "797681 797681 1" ]
3979891
3979891
[ "3979891 3979891 1" ]
3881228
2 2 13 101 739
[ "3881228 2 1940614", "1940614 2 970307", "970307 13 74639", "74639 101 739", "739 739 1" ]
2535949
13 19 10267
[ "2535949 13 195073", "195073 19 10267", "10267 10267 1" ]
1466196
2 2 3 61 2003
[ "1466196 2 733098", "733098 2 366549", "366549 3 122183", "122183 61 2003", "2003 2003 1" ]
3256422
2 3 13 83 503
[ "3256422 2 1628211", "1628211 3 542737", "542737 13 41749", "41749 83 503", "503 503 1" ]
2992840
2 2 2 5 74821
[ "2992840 2 1496420", "1496420 2 748210", "748210 2 374105", "374105 5 74821", "74821 74821 1" ]
867948
2 2 3 151 479
[ "867948 2 433974", "433974 2 216987", "216987 3 72329", "72329 151 479", "479 479 1" ]
3720449
773 4813
[ "3720449 773 4813", "4813 4813 1" ]
3265023
3 29 37529
[ "3265023 3 1088341", "1088341 29 37529", "37529 37529 1" ]
977650
2 5 5 19553
[ "977650 2 488825", "488825 5 97765", "97765 5 19553", "19553 19553 1" ]
4404125
5 5 5 11 3203
[ "4404125 5 880825", "880825 5 176165", "176165 5 35233", "35233 11 3203", "3203 3203 1" ]
2051212
2 2 512803
[ "2051212 2 1025606", "1025606 2 512803", "512803 512803 1" ]
2513518
2 7 17 59 179
[ "2513518 2 1256759", "1256759 7 179537", "179537 17 10561", "10561 59 179", "179 179 1" ]
3120975
3 3 5 5 11 13 97
[ "3120975 3 1040325", "1040325 3 346775", "346775 5 69355", "69355 5 13871", "13871 11 1261", "1261 13 97", "97 97 1" ]
1524892
2 2 381223
[ "1524892 2 762446", "762446 2 381223", "381223 381223 1" ]
1521698
2 79 9631
[ "1521698 2 760849", "760849 79 9631", "9631 9631 1" ]
4111818
2 3 607 1129
[ "4111818 2 2055909", "2055909 3 685303", "685303 607 1129", "1129 1129 1" ]
2805422
2 1402711
[ "2805422 2 1402711", "1402711 1402711 1" ]
901988
2 2 73 3089
[ "901988 2 450994", "450994 2 225497", "225497 73 3089", "3089 3089 1" ]
3767576
2 2 2 470947
[ "3767576 2 1883788", "1883788 2 941894", "941894 2 470947", "470947 470947 1" ]
1109248
2 2 2 2 2 2 2 2 7 619
[ "1109248 2 554624", "554624 2 277312", "277312 2 138656", "138656 2 69328", "69328 2 34664", "34664 2 17332", "17332 2 8666", "8666 2 4333", "4333 7 619", "619 619 1" ]
866119
866119
[ "866119 866119 1" ]
21657
3 7219
[ "21657 3 7219", "7219 7219 1" ]
2869202
2 7 29 37 191
[ "2869202 2 1434601", "1434601 7 204943", "204943 29 7067", "7067 37 191", "191 191 1" ]
2854561
2854561
[ "2854561 2854561 1" ]
4413785
5 197 4481
[ "4413785 5 882757", "882757 197 4481", "4481 4481 1" ]
2311858
2 1155929
[ "2311858 2 1155929", "1155929 1155929 1" ]
2486766
2 3 414461
[ "2486766 2 1243383", "1243383 3 414461", "414461 414461 1" ]
3154112
2 2 2 2 2 2 13 17 223
[ "3154112 2 1577056", "1577056 2 788528", "788528 2 394264", "394264 2 197132", "197132 2 98566", "98566 2 49283", "49283 13 3791", "3791 17 223", "223 223 1" ]
4863183
3 13 19 6563
[ "4863183 3 1621061", "1621061 13 124697", "124697 19 6563", "6563 6563 1" ]
3159425
5 5 43 2939
[ "3159425 5 631885", "631885 5 126377", "126377 43 2939", "2939 2939 1" ]
4184220
2 2 3 5 69737
[ "4184220 2 2092110", "2092110 2 1046055", "1046055 3 348685", "348685 5 69737", "69737 69737 1" ]
1725509
1725509
[ "1725509 1725509 1" ]
3122699
1669 1871
[ "3122699 1669 1871", "1871 1871 1" ]
4777437
3 7 227497
[ "4777437 3 1592479", "1592479 7 227497", "227497 227497 1" ]
2485256
2 2 2 41 7577
[ "2485256 2 1242628", "1242628 2 621314", "621314 2 310657", "310657 41 7577", "7577 7577 1" ]
2116488
2 2 2 3 11 8017
[ "2116488 2 1058244", "1058244 2 529122", "529122 2 264561", "264561 3 88187", "88187 11 8017", "8017 8017 1" ]
871885
5 7 29 859
[ "871885 5 174377", "174377 7 24911", "24911 29 859", "859 859 1" ]
1795844
2 2 269 1669
[ "1795844 2 897922", "897922 2 448961", "448961 269 1669", "1669 1669 1" ]
2814453
3 3 3 104239
[ "2814453 3 938151", "938151 3 312717", "312717 3 104239", "104239 104239 1" ]
1046120
2 2 2 5 26153
[ "1046120 2 523060", "523060 2 261530", "261530 2 130765", "130765 5 26153", "26153 26153 1" ]
927215
5 41 4523
[ "927215 5 185443", "185443 41 4523", "4523 4523 1" ]
2156930
2 5 215693
[ "2156930 2 1078465", "1078465 5 215693", "215693 215693 1" ]
1795678
2 401 2239
[ "1795678 2 897839", "897839 401 2239", "2239 2239 1" ]
192310
2 5 19231
[ "192310 2 96155", "96155 5 19231", "19231 19231 1" ]
931224
2 2 2 3 7 23 241
[ "931224 2 465612", "465612 2 232806", "232806 2 116403", "116403 3 38801", "38801 7 5543", "5543 23 241", "241 241 1" ]
2730902
2 163 8377
[ "2730902 2 1365451", "1365451 163 8377", "8377 8377 1" ]
4334145
3 5 283 1021
[ "4334145 3 1444715", "1444715 5 288943", "288943 283 1021", "1021 1021 1" ]
2170418
2 23 29 1627
[ "2170418 2 1085209", "1085209 23 47183", "47183 29 1627", "1627 1627 1" ]
2876219
23 125053
[ "2876219 23 125053", "125053 125053 1" ]
2003557
2003557
[ "2003557 2003557 1" ]
4332046
2 2166023
[ "4332046 2 2166023", "2166023 2166023 1" ]
3871205
5 13 59557
[ "3871205 5 774241", "774241 13 59557", "59557 59557 1" ]
659728
2 2 2 2 41233
[ "659728 2 329864", "329864 2 164932", "164932 2 82466", "82466 2 41233", "41233 41233 1" ]
3918828
2 2 3 29 11261
[ "3918828 2 1959414", "1959414 2 979707", "979707 3 326569", "326569 29 11261", "11261 11261 1" ]
4343108
2 2 7 11 59 239
[ "4343108 2 2171554", "2171554 2 1085777", "1085777 7 155111", "155111 11 14101", "14101 59 239", "239 239 1" ]
79629
3 11 19 127
[ "79629 3 26543", "26543 11 2413", "2413 19 127", "127 127 1" ]
2199440
2 2 2 2 5 19 1447
[ "2199440 2 1099720", "1099720 2 549860", "549860 2 274930", "274930 2 137465", "137465 5 27493", "27493 19 1447", "1447 1447 1" ]
3365155
5 229 2939
[ "3365155 5 673031", "673031 229 2939", "2939 2939 1" ]
4725942
2 3 13 60589
[ "4725942 2 2362971", "2362971 3 787657", "787657 13 60589", "60589 60589 1" ]
2263842
2 3 3 3 7 53 113
[ "2263842 2 1131921", "1131921 3 377307", "377307 3 125769", "125769 3 41923", "41923 7 5989", "5989 53 113", "113 113 1" ]
3369729
3 11 11 9283
[ "3369729 3 1123243", "1123243 11 102113", "102113 11 9283", "9283 9283 1" ]
2463465
3 5 164231
[ "2463465 3 821155", "821155 5 164231", "164231 164231 1" ]
3365543
3365543
[ "3365543 3365543 1" ]
1003375
5 5 5 23 349
[ "1003375 5 200675", "200675 5 40135", "40135 5 8027", "8027 23 349", "349 349 1" ]
2894750
2 5 5 5 11579
[ "2894750 2 1447375", "1447375 5 289475", "289475 5 57895", "57895 5 11579", "11579 11579 1" ]
1727945
5 41 8429
[ "1727945 5 345589", "345589 41 8429", "8429 8429 1" ]
3591316
2 2 897829
[ "3591316 2 1795658", "1795658 2 897829", "897829 897829 1" ]
2757119
2757119
[ "2757119 2757119 1" ]
2622092
2 2 11 23 2591
[ "2622092 2 1311046", "1311046 2 655523", "655523 11 59593", "59593 23 2591", "2591 2591 1" ]
2458251
3 3 17 16067
[ "2458251 3 819417", "819417 3 273139", "273139 17 16067", "16067 16067 1" ]
2469992
2 2 2 7 7 6301
[ "2469992 2 1234996", "1234996 2 617498", "617498 2 308749", "308749 7 44107", "44107 7 6301", "6301 6301 1" ]
4622682
2 3 770447
[ "4622682 2 2311341", "2311341 3 770447", "770447 770447 1" ]
4970449
11 451859
[ "4970449 11 451859", "451859 451859 1" ]
2640977
47 83 677
[ "2640977 47 56191", "56191 83 677", "677 677 1" ]
2837882
2 29 113 433
[ "2837882 2 1418941", "1418941 29 48929", "48929 113 433", "433 433 1" ]
1247566
2 23 37 733
[ "1247566 2 623783", "623783 23 27121", "27121 37 733", "733 733 1" ]