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
2307716
2 2 17 33937
[ "2307716 2 1153858", "1153858 2 576929", "576929 17 33937", "33937 33937 1" ]
3041227
7 434461
[ "3041227 7 434461", "434461 434461 1" ]
1232255
5 41 6011
[ "1232255 5 246451", "246451 41 6011", "6011 6011 1" ]
1397258
2 373 1873
[ "1397258 2 698629", "698629 373 1873", "1873 1873 1" ]
2664126
2 3 3 89 1663
[ "2664126 2 1332063", "1332063 3 444021", "444021 3 148007", "148007 89 1663", "1663 1663 1" ]
4386965
5 11 31 31 83
[ "4386965 5 877393", "877393 11 79763", "79763 31 2573", "2573 31 83", "83 83 1" ]
1414997
29 59 827
[ "1414997 29 48793", "48793 59 827", "827 827 1" ]
4446149
1163 3823
[ "4446149 1163 3823", "3823 3823 1" ]
629405
5 7 7 7 367
[ "629405 5 125881", "125881 7 17983", "17983 7 2569", "2569 7 367", "367 367 1" ]
592521
3 197507
[ "592521 3 197507", "197507 197507 1" ]
2244522
2 3 7 53441
[ "2244522 2 1122261", "1122261 3 374087", "374087 7 53441", "53441 53441 1" ]
620130
2 3 5 7 2953
[ "620130 2 310065", "310065 3 103355", "103355 5 20671", "20671 7 2953", "2953 2953 1" ]
3832316
2 2 167 5737
[ "3832316 2 1916158", "1916158 2 958079", "958079 167 5737", "5737 5737 1" ]
703376
2 2 2 2 43961
[ "703376 2 351688", "351688 2 175844", "175844 2 87922", "87922 2 43961", "43961 43961 1" ]
2177095
5 435419
[ "2177095 5 435419", "435419 435419 1" ]
1092490
2 5 7 15607
[ "1092490 2 546245", "546245 5 109249", "109249 7 15607", "15607 15607 1" ]
1972343
1972343
[ "1972343 1972343 1" ]
3269330
2 5 19 17207
[ "3269330 2 1634665", "1634665 5 326933", "326933 19 17207", "17207 17207 1" ]
2582700
2 2 3 5 5 8609
[ "2582700 2 1291350", "1291350 2 645675", "645675 3 215225", "215225 5 43045", "43045 5 8609", "8609 8609 1" ]
2666586
2 3 13 17 2011
[ "2666586 2 1333293", "1333293 3 444431", "444431 13 34187", "34187 17 2011", "2011 2011 1" ]
237317
43 5519
[ "237317 43 5519", "5519 5519 1" ]
1024860
2 2 3 5 19 29 31
[ "1024860 2 512430", "512430 2 256215", "256215 3 85405", "85405 5 17081", "17081 19 899", "899 29 31", "31 31 1" ]
1209425
5 5 7 6911
[ "1209425 5 241885", "241885 5 48377", "48377 7 6911", "6911 6911 1" ]
1993071
3 664357
[ "1993071 3 664357", "664357 664357 1" ]
2090420
2 2 5 127 823
[ "2090420 2 1045210", "1045210 2 522605", "522605 5 104521", "104521 127 823", "823 823 1" ]
2034121
19 151 709
[ "2034121 19 107059", "107059 151 709", "709 709 1" ]
2898085
5 41 67 211
[ "2898085 5 579617", "579617 41 14137", "14137 67 211", "211 211 1" ]
1189321
7 71 2393
[ "1189321 7 169903", "169903 71 2393", "2393 2393 1" ]
2561408
2 2 2 2 2 2 2 20011
[ "2561408 2 1280704", "1280704 2 640352", "640352 2 320176", "320176 2 160088", "160088 2 80044", "80044 2 40022", "40022 2 20011", "20011 20011 1" ]
2982156
2 2 3 181 1373
[ "2982156 2 1491078", "1491078 2 745539", "745539 3 248513", "248513 181 1373", "1373 1373 1" ]
3448916
2 2 862229
[ "3448916 2 1724458", "1724458 2 862229", "862229 862229 1" ]
2890549
1291 2239
[ "2890549 1291 2239", "2239 2239 1" ]
899195
5 11 16349
[ "899195 5 179839", "179839 11 16349", "16349 16349 1" ]
185946
2 3 17 1823
[ "185946 2 92973", "92973 3 30991", "30991 17 1823", "1823 1823 1" ]
212787
3 3 3 3 37 71
[ "212787 3 70929", "70929 3 23643", "23643 3 7881", "7881 3 2627", "2627 37 71", "71 71 1" ]
4969773
3 3 19 29063
[ "4969773 3 1656591", "1656591 3 552197", "552197 19 29063", "29063 29063 1" ]
480834
2 3 3 26713
[ "480834 2 240417", "240417 3 80139", "80139 3 26713", "26713 26713 1" ]
1794589
1794589
[ "1794589 1794589 1" ]
2410655
5 13 37087
[ "2410655 5 482131", "482131 13 37087", "37087 37087 1" ]
3891044
2 2 467 2083
[ "3891044 2 1945522", "1945522 2 972761", "972761 467 2083", "2083 2083 1" ]
43040
2 2 2 2 2 5 269
[ "43040 2 21520", "21520 2 10760", "10760 2 5380", "5380 2 2690", "2690 2 1345", "1345 5 269", "269 269 1" ]
4494480
2 2 2 2 3 5 61 307
[ "4494480 2 2247240", "2247240 2 1123620", "1123620 2 561810", "561810 2 280905", "280905 3 93635", "93635 5 18727", "18727 61 307", "307 307 1" ]
3529074
2 3 23 107 239
[ "3529074 2 1764537", "1764537 3 588179", "588179 23 25573", "25573 107 239", "239 239 1" ]
2573331
3 491 1747
[ "2573331 3 857777", "857777 491 1747", "1747 1747 1" ]
2991036
2 2 3 249253
[ "2991036 2 1495518", "1495518 2 747759", "747759 3 249253", "249253 249253 1" ]
259646
2 197 659
[ "259646 2 129823", "129823 197 659", "659 659 1" ]
3989518
2 13 153443
[ "3989518 2 1994759", "1994759 13 153443", "153443 153443 1" ]
3876402
2 3 646067
[ "3876402 2 1938201", "1938201 3 646067", "646067 646067 1" ]
762857
47 16231
[ "762857 47 16231", "16231 16231 1" ]
1737636
2 2 3 89 1627
[ "1737636 2 868818", "868818 2 434409", "434409 3 144803", "144803 89 1627", "1627 1627 1" ]
3588358
2 1794179
[ "3588358 2 1794179", "1794179 1794179 1" ]
2363876
2 2 383 1543
[ "2363876 2 1181938", "1181938 2 590969", "590969 383 1543", "1543 1543 1" ]
1338504
2 2 2 3 43 1297
[ "1338504 2 669252", "669252 2 334626", "334626 2 167313", "167313 3 55771", "55771 43 1297", "1297 1297 1" ]
3897776
2 2 2 2 59 4129
[ "3897776 2 1948888", "1948888 2 974444", "974444 2 487222", "487222 2 243611", "243611 59 4129", "4129 4129 1" ]
4079700
2 2 3 3 3 5 5 1511
[ "4079700 2 2039850", "2039850 2 1019925", "1019925 3 339975", "339975 3 113325", "113325 3 37775", "37775 5 7555", "7555 5 1511", "1511 1511 1" ]
2933381
11 266671
[ "2933381 11 266671", "266671 266671 1" ]
3980285
5 431 1847
[ "3980285 5 796057", "796057 431 1847", "1847 1847 1" ]
2095199
17 37 3331
[ "2095199 17 123247", "123247 37 3331", "3331 3331 1" ]
4683110
2 5 173 2707
[ "4683110 2 2341555", "2341555 5 468311", "468311 173 2707", "2707 2707 1" ]
3583884
2 2 3 101 2957
[ "3583884 2 1791942", "1791942 2 895971", "895971 3 298657", "298657 101 2957", "2957 2957 1" ]
1814355
3 3 5 23 1753
[ "1814355 3 604785", "604785 3 201595", "201595 5 40319", "40319 23 1753", "1753 1753 1" ]
111516
2 2 3 9293
[ "111516 2 55758", "55758 2 27879", "27879 3 9293", "9293 9293 1" ]
2036892
2 2 3 11 13 1187
[ "2036892 2 1018446", "1018446 2 509223", "509223 3 169741", "169741 11 15431", "15431 13 1187", "1187 1187 1" ]
2834180
2 2 5 141709
[ "2834180 2 1417090", "1417090 2 708545", "708545 5 141709", "141709 141709 1" ]
1088075
5 5 71 613
[ "1088075 5 217615", "217615 5 43523", "43523 71 613", "613 613 1" ]
4541843
83 54721
[ "4541843 83 54721", "54721 54721 1" ]
2279670
2 3 5 75989
[ "2279670 2 1139835", "1139835 3 379945", "379945 5 75989", "75989 75989 1" ]
2888692
2 2 722173
[ "2888692 2 1444346", "1444346 2 722173", "722173 722173 1" ]
1942332
2 2 3 7 19 1217
[ "1942332 2 971166", "971166 2 485583", "485583 3 161861", "161861 7 23123", "23123 19 1217", "1217 1217 1" ]
690688
2 2 2 2 2 2 2 2 2 19 71
[ "690688 2 345344", "345344 2 172672", "172672 2 86336", "86336 2 43168", "43168 2 21584", "21584 2 10792", "10792 2 5396", "5396 2 2698", "2698 2 1349", "1349 19 71", "71 71 1" ]
4154352
2 2 2 2 3 23 53 71
[ "4154352 2 2077176", "2077176 2 1038588", "1038588 2 519294", "519294 2 259647", "259647 3 86549", "86549 23 3763", "3763 53 71", "71 71 1" ]
3054425
5 5 11 29 383
[ "3054425 5 610885", "610885 5 122177", "122177 11 11107", "11107 29 383", "383 383 1" ]
3455057
3455057
[ "3455057 3455057 1" ]
2751498
2 3 3 31 4931
[ "2751498 2 1375749", "1375749 3 458583", "458583 3 152861", "152861 31 4931", "4931 4931 1" ]
3790840
2 2 2 5 94771
[ "3790840 2 1895420", "1895420 2 947710", "947710 2 473855", "473855 5 94771", "94771 94771 1" ]
2042183
11 13 14281
[ "2042183 11 185653", "185653 13 14281", "14281 14281 1" ]
3254868
2 2 3 3 23 3931
[ "3254868 2 1627434", "1627434 2 813717", "813717 3 271239", "271239 3 90413", "90413 23 3931", "3931 3931 1" ]
2631322
2 1315661
[ "2631322 2 1315661", "1315661 1315661 1" ]
2908269
3 3 7 13 53 67
[ "2908269 3 969423", "969423 3 323141", "323141 7 46163", "46163 13 3551", "3551 53 67", "67 67 1" ]
1857581
11 47 3593
[ "1857581 11 168871", "168871 47 3593", "3593 3593 1" ]
667086
2 3 7 7 2269
[ "667086 2 333543", "333543 3 111181", "111181 7 15883", "15883 7 2269", "2269 2269 1" ]
2167032
2 2 2 3 7 12899
[ "2167032 2 1083516", "1083516 2 541758", "541758 2 270879", "270879 3 90293", "90293 7 12899", "12899 12899 1" ]
3618666
2 3 3 201037
[ "3618666 2 1809333", "1809333 3 603111", "603111 3 201037", "201037 201037 1" ]
3091122
2 3 3 3 3 19081
[ "3091122 2 1545561", "1545561 3 515187", "515187 3 171729", "171729 3 57243", "57243 3 19081", "19081 19081 1" ]
4702130
2 5 470213
[ "4702130 2 2351065", "2351065 5 470213", "470213 470213 1" ]
4455640
2 2 2 5 7 15913
[ "4455640 2 2227820", "2227820 2 1113910", "1113910 2 556955", "556955 5 111391", "111391 7 15913", "15913 15913 1" ]
4575819
3 1525273
[ "4575819 3 1525273", "1525273 1525273 1" ]
2755092
2 2 3 229591
[ "2755092 2 1377546", "1377546 2 688773", "688773 3 229591", "229591 229591 1" ]
3101634
2 3 3 172313
[ "3101634 2 1550817", "1550817 3 516939", "516939 3 172313", "172313 172313 1" ]
2115062
2 1057531
[ "2115062 2 1057531", "1057531 1057531 1" ]
294045
3 5 19603
[ "294045 3 98015", "98015 5 19603", "19603 19603 1" ]
217643
217643
[ "217643 217643 1" ]
976091
976091
[ "976091 976091 1" ]
4171571
661 6311
[ "4171571 661 6311", "6311 6311 1" ]
3834977
1907 2011
[ "3834977 1907 2011", "2011 2011 1" ]
636871
17 37463
[ "636871 17 37463", "37463 37463 1" ]
3539721
3 1179907
[ "3539721 3 1179907", "1179907 1179907 1" ]
1064638
2 37 14387
[ "1064638 2 532319", "532319 37 14387", "14387 14387 1" ]
2258638
2 59 19141
[ "2258638 2 1129319", "1129319 59 19141", "19141 19141 1" ]
1585634
2 41 61 317
[ "1585634 2 792817", "792817 41 19337", "19337 61 317", "317 317 1" ]