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
1036660
2 2 5 17 3049
[ "1036660 2 518330", "518330 2 259165", "259165 5 51833", "51833 17 3049", "3049 3049 1" ]
4197267
3 3 401 1163
[ "4197267 3 1399089", "1399089 3 466363", "466363 401 1163", "1163 1163 1" ]
4948160
2 2 2 2 2 2 5 7 47 47
[ "4948160 2 2474080", "2474080 2 1237040", "1237040 2 618520", "618520 2 309260", "309260 2 154630", "154630 2 77315", "77315 5 15463", "15463 7 2209", "2209 47 47", "47 47 1" ]
3225432
2 2 2 3 7 73 263
[ "3225432 2 1612716", "1612716 2 806358", "806358 2 403179", "403179 3 134393", "134393 7 19199", "19199 73 263", "263 263 1" ]
2306326
2 11 79 1327
[ "2306326 2 1153163", "1153163 11 104833", "104833 79 1327", "1327 1327 1" ]
1907355
3 5 127157
[ "1907355 3 635785", "635785 5 127157", "127157 127157 1" ]
1555032
2 2 2 3 64793
[ "1555032 2 777516", "777516 2 388758", "388758 2 194379", "194379 3 64793", "64793 64793 1" ]
3741963
3 1247321
[ "3741963 3 1247321", "1247321 1247321 1" ]
477002
2 79 3019
[ "477002 2 238501", "238501 79 3019", "3019 3019 1" ]
1409799
3 571 823
[ "1409799 3 469933", "469933 571 823", "823 823 1" ]
3663487
31 59 2003
[ "3663487 31 118177", "118177 59 2003", "2003 2003 1" ]
2809573
13 17 12713
[ "2809573 13 216121", "216121 17 12713", "12713 12713 1" ]
2033012
2 2 227 2239
[ "2033012 2 1016506", "1016506 2 508253", "508253 227 2239", "2239 2239 1" ]
2570971
13 197767
[ "2570971 13 197767", "197767 197767 1" ]
4605852
2 2 3 383821
[ "4605852 2 2302926", "2302926 2 1151463", "1151463 3 383821", "383821 383821 1" ]
3378438
2 3 3 7 26813
[ "3378438 2 1689219", "1689219 3 563073", "563073 3 187691", "187691 7 26813", "26813 26813 1" ]
3099599
53 233 251
[ "3099599 53 58483", "58483 233 251", "251 251 1" ]
4257696
2 2 2 2 2 3 44351
[ "4257696 2 2128848", "2128848 2 1064424", "1064424 2 532212", "532212 2 266106", "266106 2 133053", "133053 3 44351", "44351 44351 1" ]
2784071
2784071
[ "2784071 2784071 1" ]
1901553
3 61 10391
[ "1901553 3 633851", "633851 61 10391", "10391 10391 1" ]
2907286
2 1453643
[ "2907286 2 1453643", "1453643 1453643 1" ]
805929
3 268643
[ "805929 3 268643", "268643 268643 1" ]
3226464
2 2 2 2 2 3 3 17 659
[ "3226464 2 1613232", "1613232 2 806616", "806616 2 403308", "403308 2 201654", "201654 2 100827", "100827 3 33609", "33609 3 11203", "11203 17 659", "659 659 1" ]
4418595
3 3 5 149 659
[ "4418595 3 1472865", "1472865 3 490955", "490955 5 98191", "98191 149 659", "659 659 1" ]
378424
2 2 2 47303
[ "378424 2 189212", "189212 2 94606", "94606 2 47303", "47303 47303 1" ]
2040903
3 3 3 269 281
[ "2040903 3 680301", "680301 3 226767", "226767 3 75589", "75589 269 281", "281 281 1" ]
308752
2 2 2 2 23 839
[ "308752 2 154376", "154376 2 77188", "77188 2 38594", "38594 2 19297", "19297 23 839", "839 839 1" ]
2289699
3 3 47 5413
[ "2289699 3 763233", "763233 3 254411", "254411 47 5413", "5413 5413 1" ]
1817416
2 2 2 227177
[ "1817416 2 908708", "908708 2 454354", "454354 2 227177", "227177 227177 1" ]
1648204
2 2 412051
[ "1648204 2 824102", "824102 2 412051", "412051 412051 1" ]
4232555
5 401 2111
[ "4232555 5 846511", "846511 401 2111", "2111 2111 1" ]
267642
2 3 3 14869
[ "267642 2 133821", "133821 3 44607", "44607 3 14869", "14869 14869 1" ]
3592732
2 2 11 11 13 571
[ "3592732 2 1796366", "1796366 2 898183", "898183 11 81653", "81653 11 7423", "7423 13 571", "571 571 1" ]
1131337
47 24071
[ "1131337 47 24071", "24071 24071 1" ]
4307522
2 53 40637
[ "4307522 2 2153761", "2153761 53 40637", "40637 40637 1" ]
2076183
3 3 197 1171
[ "2076183 3 692061", "692061 3 230687", "230687 197 1171", "1171 1171 1" ]
3625413
3 11 61 1801
[ "3625413 3 1208471", "1208471 11 109861", "109861 61 1801", "1801 1801 1" ]
4138631
7 591233
[ "4138631 7 591233", "591233 591233 1" ]
3130690
2 5 31 10099
[ "3130690 2 1565345", "1565345 5 313069", "313069 31 10099", "10099 10099 1" ]
2373054
2 3 395509
[ "2373054 2 1186527", "1186527 3 395509", "395509 395509 1" ]
2333082
2 3 601 647
[ "2333082 2 1166541", "1166541 3 388847", "388847 601 647", "647 647 1" ]
3405203
61 55823
[ "3405203 61 55823", "55823 55823 1" ]
1228726
2 17 71 509
[ "1228726 2 614363", "614363 17 36139", "36139 71 509", "509 509 1" ]
4839363
3 3 503 1069
[ "4839363 3 1613121", "1613121 3 537707", "537707 503 1069", "1069 1069 1" ]
3272365
5 167 3919
[ "3272365 5 654473", "654473 167 3919", "3919 3919 1" ]
1638923
11 13 73 157
[ "1638923 11 148993", "148993 13 11461", "11461 73 157", "157 157 1" ]
2741017
547 5011
[ "2741017 547 5011", "5011 5011 1" ]
2352445
5 470489
[ "2352445 5 470489", "470489 470489 1" ]
1943330
2 5 373 521
[ "1943330 2 971665", "971665 5 194333", "194333 373 521", "521 521 1" ]
1756399
41 42839
[ "1756399 41 42839", "42839 42839 1" ]
2187145
5 41 47 227
[ "2187145 5 437429", "437429 41 10669", "10669 47 227", "227 227 1" ]
3366722
2 113 14897
[ "3366722 2 1683361", "1683361 113 14897", "14897 14897 1" ]
1322200
2 2 2 5 5 11 601
[ "1322200 2 661100", "661100 2 330550", "330550 2 165275", "165275 5 33055", "33055 5 6611", "6611 11 601", "601 601 1" ]
2331455
5 7 29 2297
[ "2331455 5 466291", "466291 7 66613", "66613 29 2297", "2297 2297 1" ]
382837
7 7 13 601
[ "382837 7 54691", "54691 7 7813", "7813 13 601", "601 601 1" ]
4541444
2 2 71 15991
[ "4541444 2 2270722", "2270722 2 1135361", "1135361 71 15991", "15991 15991 1" ]
60835
5 23 23 23
[ "60835 5 12167", "12167 23 529", "529 23 23", "23 23 1" ]
4066948
2 2 1016737
[ "4066948 2 2033474", "2033474 2 1016737", "1016737 1016737 1" ]
11224
2 2 2 23 61
[ "11224 2 5612", "5612 2 2806", "2806 2 1403", "1403 23 61", "61 61 1" ]
4993944
2 2 2 3 23 83 109
[ "4993944 2 2496972", "2496972 2 1248486", "1248486 2 624243", "624243 3 208081", "208081 23 9047", "9047 83 109", "109 109 1" ]
1840255
5 193 1907
[ "1840255 5 368051", "368051 193 1907", "1907 1907 1" ]
2471074
2 23 53719
[ "2471074 2 1235537", "1235537 23 53719", "53719 53719 1" ]
2789113
277 10069
[ "2789113 277 10069", "10069 10069 1" ]
3261895
5 7 13 67 107
[ "3261895 5 652379", "652379 7 93197", "93197 13 7169", "7169 67 107", "107 107 1" ]
579387
3 151 1279
[ "579387 3 193129", "193129 151 1279", "1279 1279 1" ]
2440465
5 43 11351
[ "2440465 5 488093", "488093 43 11351", "11351 11351 1" ]
3187228
2 2 11 17 4261
[ "3187228 2 1593614", "1593614 2 796807", "796807 11 72437", "72437 17 4261", "4261 4261 1" ]
3379520
2 2 2 2 2 2 5 59 179
[ "3379520 2 1689760", "1689760 2 844880", "844880 2 422440", "422440 2 211220", "211220 2 105610", "105610 2 52805", "52805 5 10561", "10561 59 179", "179 179 1" ]
2661672
2 2 2 3 13 19 449
[ "2661672 2 1330836", "1330836 2 665418", "665418 2 332709", "332709 3 110903", "110903 13 8531", "8531 19 449", "449 449 1" ]
1767872
2 2 2 2 2 2 23 1201
[ "1767872 2 883936", "883936 2 441968", "441968 2 220984", "220984 2 110492", "110492 2 55246", "55246 2 27623", "27623 23 1201", "1201 1201 1" ]
3695792
2 2 2 2 101 2287
[ "3695792 2 1847896", "1847896 2 923948", "923948 2 461974", "461974 2 230987", "230987 101 2287", "2287 2287 1" ]
1181784
2 2 2 3 41 1201
[ "1181784 2 590892", "590892 2 295446", "295446 2 147723", "147723 3 49241", "49241 41 1201", "1201 1201 1" ]
4551988
2 2 7 17 73 131
[ "4551988 2 2275994", "2275994 2 1137997", "1137997 7 162571", "162571 17 9563", "9563 73 131", "131 131 1" ]
2075130
2 3 3 5 23057
[ "2075130 2 1037565", "1037565 3 345855", "345855 3 115285", "115285 5 23057", "23057 23057 1" ]
2291896
2 2 2 286487
[ "2291896 2 1145948", "1145948 2 572974", "572974 2 286487", "286487 286487 1" ]
4883988
2 2 3 19 31 691
[ "4883988 2 2441994", "2441994 2 1220997", "1220997 3 406999", "406999 19 21421", "21421 31 691", "691 691 1" ]
3113661
3 37 28051
[ "3113661 3 1037887", "1037887 37 28051", "28051 28051 1" ]
2531146
2 1265573
[ "2531146 2 1265573", "1265573 1265573 1" ]
4202811
3 3 127 3677
[ "4202811 3 1400937", "1400937 3 466979", "466979 127 3677", "3677 3677 1" ]
4072425
3 5 5 7 7757
[ "4072425 3 1357475", "1357475 5 271495", "271495 5 54299", "54299 7 7757", "7757 7757 1" ]
2904756
2 2 3 17 29 491
[ "2904756 2 1452378", "1452378 2 726189", "726189 3 242063", "242063 17 14239", "14239 29 491", "491 491 1" ]
1707352
2 2 2 457 467
[ "1707352 2 853676", "853676 2 426838", "426838 2 213419", "213419 457 467", "467 467 1" ]
2022715
5 397 1019
[ "2022715 5 404543", "404543 397 1019", "1019 1019 1" ]
4095811
19 73 2953
[ "4095811 19 215569", "215569 73 2953", "2953 2953 1" ]
3820990
2 5 23 37 449
[ "3820990 2 1910495", "1910495 5 382099", "382099 23 16613", "16613 37 449", "449 449 1" ]
2381026
2 1190513
[ "2381026 2 1190513", "1190513 1190513 1" ]
3522186
2 3 3 195677
[ "3522186 2 1761093", "1761093 3 587031", "587031 3 195677", "195677 195677 1" ]
4860373
7 694339
[ "4860373 7 694339", "694339 694339 1" ]
1320501
3 7 7 13 691
[ "1320501 3 440167", "440167 7 62881", "62881 7 8983", "8983 13 691", "691 691 1" ]
2185802
2 1092901
[ "2185802 2 1092901", "1092901 1092901 1" ]
4140563
7 591509
[ "4140563 7 591509", "591509 591509 1" ]
1610089
13 123853
[ "1610089 13 123853", "123853 123853 1" ]
3813475
5 5 152539
[ "3813475 5 762695", "762695 5 152539", "152539 152539 1" ]
1324595
5 264919
[ "1324595 5 264919", "264919 264919 1" ]
3127585
5 625517
[ "3127585 5 625517", "625517 625517 1" ]
4194753
3 1398251
[ "4194753 3 1398251", "1398251 1398251 1" ]
2667452
2 2 401 1663
[ "2667452 2 1333726", "1333726 2 666863", "666863 401 1663", "1663 1663 1" ]
4149845
5 7 139 853
[ "4149845 5 829969", "829969 7 118567", "118567 139 853", "853 853 1" ]
4689874
2 7 334991
[ "4689874 2 2344937", "2344937 7 334991", "334991 334991 1" ]
4242848
2 2 2 2 2 132589
[ "4242848 2 2121424", "2121424 2 1060712", "1060712 2 530356", "530356 2 265178", "265178 2 132589", "132589 132589 1" ]