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
608092
2 2 67 2269
[ "608092 2 304046", "304046 2 152023", "152023 67 2269", "2269 2269 1" ]
3944757
3 47 101 277
[ "3944757 3 1314919", "1314919 47 27977", "27977 101 277", "277 277 1" ]
4145406
2 3 37 71 263
[ "4145406 2 2072703", "2072703 3 690901", "690901 37 18673", "18673 71 263", "263 263 1" ]
387564
2 2 3 32297
[ "387564 2 193782", "193782 2 96891", "96891 3 32297", "32297 32297 1" ]
3150557
3150557
[ "3150557 3150557 1" ]
951595
5 83 2293
[ "951595 5 190319", "190319 83 2293", "2293 2293 1" ]
2529357
3 37 22787
[ "2529357 3 843119", "843119 37 22787", "22787 22787 1" ]
4845738
2 3 103 7841
[ "4845738 2 2422869", "2422869 3 807623", "807623 103 7841", "7841 7841 1" ]
345329
345329
[ "345329 345329 1" ]
2650167
3 3 13 22651
[ "2650167 3 883389", "883389 3 294463", "294463 13 22651", "22651 22651 1" ]
2271751
2271751
[ "2271751 2271751 1" ]
4607935
5 17 23 2357
[ "4607935 5 921587", "921587 17 54211", "54211 23 2357", "2357 2357 1" ]
1048752
2 2 2 2 3 3 7283
[ "1048752 2 524376", "524376 2 262188", "262188 2 131094", "131094 2 65547", "65547 3 21849", "21849 3 7283", "7283 7283 1" ]
2521155
3 5 7 13 1847
[ "2521155 3 840385", "840385 5 168077", "168077 7 24011", "24011 13 1847", "1847 1847 1" ]
2170788
2 2 3 19 9521
[ "2170788 2 1085394", "1085394 2 542697", "542697 3 180899", "180899 19 9521", "9521 9521 1" ]
4521945
3 5 301463
[ "4521945 3 1507315", "1507315 5 301463", "301463 301463 1" ]
4795117
1979 2423
[ "4795117 1979 2423", "2423 2423 1" ]
2559456
2 2 2 2 2 3 3 8887
[ "2559456 2 1279728", "1279728 2 639864", "639864 2 319932", "319932 2 159966", "159966 2 79983", "79983 3 26661", "26661 3 8887", "8887 8887 1" ]
901843
251 3593
[ "901843 251 3593", "3593 3593 1" ]
3157419
3 1052473
[ "3157419 3 1052473", "1052473 1052473 1" ]
3139112
2 2 2 392389
[ "3139112 2 1569556", "1569556 2 784778", "784778 2 392389", "392389 392389 1" ]
2616946
2 17 19 4051
[ "2616946 2 1308473", "1308473 17 76969", "76969 19 4051", "4051 4051 1" ]
3682890
2 3 3 5 151 271
[ "3682890 2 1841445", "1841445 3 613815", "613815 3 204605", "204605 5 40921", "40921 151 271", "271 271 1" ]
1046475
3 3 5 5 4651
[ "1046475 3 348825", "348825 3 116275", "116275 5 23255", "23255 5 4651", "4651 4651 1" ]
3561896
2 2 2 13 29 1181
[ "3561896 2 1780948", "1780948 2 890474", "890474 2 445237", "445237 13 34249", "34249 29 1181", "1181 1181 1" ]
4511037
3 19 29 2729
[ "4511037 3 1503679", "1503679 19 79141", "79141 29 2729", "2729 2729 1" ]
1670717
1670717
[ "1670717 1670717 1" ]
1574796
2 2 3 19 6907
[ "1574796 2 787398", "787398 2 393699", "393699 3 131233", "131233 19 6907", "6907 6907 1" ]
1179251
1179251
[ "1179251 1179251 1" ]
975659
109 8951
[ "975659 109 8951", "8951 8951 1" ]
1211471
17 71263
[ "1211471 17 71263", "71263 71263 1" ]
154131
3 83 619
[ "154131 3 51377", "51377 83 619", "619 619 1" ]
3337267
421 7927
[ "3337267 421 7927", "7927 7927 1" ]
994863
3 53 6257
[ "994863 3 331621", "331621 53 6257", "6257 6257 1" ]
3066571
3066571
[ "3066571 3066571 1" ]
2885167
907 3181
[ "2885167 907 3181", "3181 3181 1" ]
76386
2 3 29 439
[ "76386 2 38193", "38193 3 12731", "12731 29 439", "439 439 1" ]
2449081
19 83 1553
[ "2449081 19 128899", "128899 83 1553", "1553 1553 1" ]
1952365
5 17 103 223
[ "1952365 5 390473", "390473 17 22969", "22969 103 223", "223 223 1" ]
4598954
2 71 139 233
[ "4598954 2 2299477", "2299477 71 32387", "32387 139 233", "233 233 1" ]
4883212
2 2 1220803
[ "4883212 2 2441606", "2441606 2 1220803", "1220803 1220803 1" ]
1634495
5 23 61 233
[ "1634495 5 326899", "326899 23 14213", "14213 61 233", "233 233 1" ]
1660800
2 2 2 2 2 2 2 3 5 5 173
[ "1660800 2 830400", "830400 2 415200", "415200 2 207600", "207600 2 103800", "103800 2 51900", "51900 2 25950", "25950 2 12975", "12975 3 4325", "4325 5 865", "865 5 173", "173 173 1" ]
3475303
13 43 6217
[ "3475303 13 267331", "267331 43 6217", "6217 6217 1" ]
2812369
7 383 1049
[ "2812369 7 401767", "401767 383 1049", "1049 1049 1" ]
4917119
59 83341
[ "4917119 59 83341", "83341 83341 1" ]
1429252
2 2 11 11 2953
[ "1429252 2 714626", "714626 2 357313", "357313 11 32483", "32483 11 2953", "2953 2953 1" ]
4844494
2 31 78137
[ "4844494 2 2422247", "2422247 31 78137", "78137 78137 1" ]
2030726
2 1015363
[ "2030726 2 1015363", "1015363 1015363 1" ]
1621083
3 31 17431
[ "1621083 3 540361", "540361 31 17431", "17431 17431 1" ]
1838997
3 3 3 68111
[ "1838997 3 612999", "612999 3 204333", "204333 3 68111", "68111 68111 1" ]
2896989
3 37 26099
[ "2896989 3 965663", "965663 37 26099", "26099 26099 1" ]
3871870
2 5 387187
[ "3871870 2 1935935", "1935935 5 387187", "387187 387187 1" ]
1781248
2 2 2 2 2 2 2 2 2 7 7 71
[ "1781248 2 890624", "890624 2 445312", "445312 2 222656", "222656 2 111328", "111328 2 55664", "55664 2 27832", "27832 2 13916", "13916 2 6958", "6958 2 3479", "3479 7 497", "497 7 71", "71 71 1" ]
4141880
2 2 2 5 17 6091
[ "4141880 2 2070940", "2070940 2 1035470", "1035470 2 517735", "517735 5 103547", "103547 17 6091", "6091 6091 1" ]
4859711
67 72533
[ "4859711 67 72533", "72533 72533 1" ]
963034
2 19 25343
[ "963034 2 481517", "481517 19 25343", "25343 25343 1" ]
3338167
7 19 19 1321
[ "3338167 7 476881", "476881 19 25099", "25099 19 1321", "1321 1321 1" ]
2872037
7 7 58613
[ "2872037 7 410291", "410291 7 58613", "58613 58613 1" ]
2773322
2 31 41 1091
[ "2773322 2 1386661", "1386661 31 44731", "44731 41 1091", "1091 1091 1" ]
3858544
2 2 2 2 349 691
[ "3858544 2 1929272", "1929272 2 964636", "964636 2 482318", "482318 2 241159", "241159 349 691", "691 691 1" ]
1100641
1100641
[ "1100641 1100641 1" ]
3915027
3 3 3 83 1747
[ "3915027 3 1305009", "1305009 3 435003", "435003 3 145001", "145001 83 1747", "1747 1747 1" ]
3008910
2 3 5 100297
[ "3008910 2 1504455", "1504455 3 501485", "501485 5 100297", "100297 100297 1" ]
593832
2 2 2 3 109 227
[ "593832 2 296916", "296916 2 148458", "148458 2 74229", "74229 3 24743", "24743 109 227", "227 227 1" ]
4379701
233 18797
[ "4379701 233 18797", "18797 18797 1" ]
3540556
2 2 17 52067
[ "3540556 2 1770278", "1770278 2 885139", "885139 17 52067", "52067 52067 1" ]
1991507
7 7 97 419
[ "1991507 7 284501", "284501 7 40643", "40643 97 419", "419 419 1" ]
2929000
2 2 2 5 5 5 29 101
[ "2929000 2 1464500", "1464500 2 732250", "732250 2 366125", "366125 5 73225", "73225 5 14645", "14645 5 2929", "2929 29 101", "101 101 1" ]
2758605
3 5 183907
[ "2758605 3 919535", "919535 5 183907", "183907 183907 1" ]
1127321
13 17 5101
[ "1127321 13 86717", "86717 17 5101", "5101 5101 1" ]
3630285
3 3 3 5 26891
[ "3630285 3 1210095", "1210095 3 403365", "403365 3 134455", "134455 5 26891", "26891 26891 1" ]
787721
11 19 3769
[ "787721 11 71611", "71611 19 3769", "3769 3769 1" ]
3917312
2 2 2 2 2 2 2 2 2 7 1093
[ "3917312 2 1958656", "1958656 2 979328", "979328 2 489664", "489664 2 244832", "244832 2 122416", "122416 2 61208", "61208 2 30604", "30604 2 15302", "15302 2 7651", "7651 7 1093", "1093 1093 1" ]
4647517
7 53 12527
[ "4647517 7 663931", "663931 53 12527", "12527 12527 1" ]
3131693
127 24659
[ "3131693 127 24659", "24659 24659 1" ]
3787232
2 2 2 2 2 19 6229
[ "3787232 2 1893616", "1893616 2 946808", "946808 2 473404", "473404 2 236702", "236702 2 118351", "118351 19 6229", "6229 6229 1" ]
1257112
2 2 2 31 37 137
[ "1257112 2 628556", "628556 2 314278", "314278 2 157139", "157139 31 5069", "5069 37 137", "137 137 1" ]
3315341
223 14867
[ "3315341 223 14867", "14867 14867 1" ]
4242020
2 2 5 113 1877
[ "4242020 2 2121010", "2121010 2 1060505", "1060505 5 212101", "212101 113 1877", "1877 1877 1" ]
3973371
3 1324457
[ "3973371 3 1324457", "1324457 1324457 1" ]
1983824
2 2 2 2 123989
[ "1983824 2 991912", "991912 2 495956", "495956 2 247978", "247978 2 123989", "123989 123989 1" ]
797965
5 7 7 3257
[ "797965 5 159593", "159593 7 22799", "22799 7 3257", "3257 3257 1" ]
4748456
2 2 2 31 41 467
[ "4748456 2 2374228", "2374228 2 1187114", "1187114 2 593557", "593557 31 19147", "19147 41 467", "467 467 1" ]
1008701
1008701
[ "1008701 1008701 1" ]
80193
3 26731
[ "80193 3 26731", "26731 26731 1" ]
3617272
2 2 2 452159
[ "3617272 2 1808636", "1808636 2 904318", "904318 2 452159", "452159 452159 1" ]
2853733
383 7451
[ "2853733 383 7451", "7451 7451 1" ]
2537618
2 257 4937
[ "2537618 2 1268809", "1268809 257 4937", "4937 4937 1" ]
4317267
3 1439089
[ "4317267 3 1439089", "1439089 1439089 1" ]
4923444
2 2 3 41 10007
[ "4923444 2 2461722", "2461722 2 1230861", "1230861 3 410287", "410287 41 10007", "10007 10007 1" ]
1531757
1181 1297
[ "1531757 1181 1297", "1297 1297 1" ]
2713671
3 3 211 1429
[ "2713671 3 904557", "904557 3 301519", "301519 211 1429", "1429 1429 1" ]
982718
2 11 19 2351
[ "982718 2 491359", "491359 11 44669", "44669 19 2351", "2351 2351 1" ]
4373905
5 89 9829
[ "4373905 5 874781", "874781 89 9829", "9829 9829 1" ]
4125583
7 11 131 409
[ "4125583 7 589369", "589369 11 53579", "53579 131 409", "409 409 1" ]
475491
3 353 449
[ "475491 3 158497", "158497 353 449", "449 449 1" ]
2054054
2 1027027
[ "2054054 2 1027027", "1027027 1027027 1" ]
322978
2 167 967
[ "322978 2 161489", "161489 167 967", "967 967 1" ]
1931269
31 62299
[ "1931269 31 62299", "62299 62299 1" ]