Datasets:
yimingzhang
/
prime-factorization

Dataset card Data Studio Files Community
input
stringlengths
3
7
output
stringlengths
3
41
step_by_step_solution
listlengths
1
21
1516292
2 2 379073
[ "1516292 2 758146", "758146 2 379073", "379073 379073 1" ]
1308120
2 2 2 3 5 11 991
[ "1308120 2 654060", "654060 2 327030", "327030 2 163515", "163515 3 54505", "54505 5 10901", "10901 11 991", "991 991 1" ]
2500635
3 5 47 3547
[ "2500635 3 833545", "833545 5 166709", "166709 47 3547", "3547 3547 1" ]
1631846
2 815923
[ "1631846 2 815923", "815923 815923 1" ]
2009795
5 401959
[ "2009795 5 401959", "401959 401959 1" ]
3478872
2 2 2 3 43 3371
[ "3478872 2 1739436", "1739436 2 869718", "869718 2 434859", "434859 3 144953", "144953 43 3371", "3371 3371 1" ]
988096
2 2 2 2 2 2 15439
[ "988096 2 494048", "494048 2 247024", "247024 2 123512", "123512 2 61756", "61756 2 30878", "30878 2 15439", "15439 15439 1" ]
36661
61 601
[ "36661 61 601", "601 601 1" ]
1483033
97 15289
[ "1483033 97 15289", "15289 15289 1" ]
3729764
2 2 932441
[ "3729764 2 1864882", "1864882 2 932441", "932441 932441 1" ]
3050729
11 269 1031
[ "3050729 11 277339", "277339 269 1031", "1031 1031 1" ]
2228208
2 2 2 2 3 61 761
[ "2228208 2 1114104", "1114104 2 557052", "557052 2 278526", "278526 2 139263", "139263 3 46421", "46421 61 761", "761 761 1" ]
3115862
2 17 113 811
[ "3115862 2 1557931", "1557931 17 91643", "91643 113 811", "811 811 1" ]
3552957
3 3 3 131591
[ "3552957 3 1184319", "1184319 3 394773", "394773 3 131591", "131591 131591 1" ]
1553811
3 7 23 3217
[ "1553811 3 517937", "517937 7 73991", "73991 23 3217", "3217 3217 1" ]
3894470
2 5 389447
[ "3894470 2 1947235", "1947235 5 389447", "389447 389447 1" ]
2386144
2 2 2 2 2 74567
[ "2386144 2 1193072", "1193072 2 596536", "596536 2 298268", "298268 2 149134", "149134 2 74567", "74567 74567 1" ]
2425873
89 97 281
[ "2425873 89 27257", "27257 97 281", "281 281 1" ]
4895865
3 3 5 13 8369
[ "4895865 3 1631955", "1631955 3 543985", "543985 5 108797", "108797 13 8369", "8369 8369 1" ]
2034430
2 5 131 1553
[ "2034430 2 1017215", "1017215 5 203443", "203443 131 1553", "1553 1553 1" ]
14773
11 17 79
[ "14773 11 1343", "1343 17 79", "79 79 1" ]
2813449
17 167 991
[ "2813449 17 165497", "165497 167 991", "991 991 1" ]
1504997
13 115769
[ "1504997 13 115769", "115769 115769 1" ]
140112
2 2 2 2 3 3 7 139
[ "140112 2 70056", "70056 2 35028", "35028 2 17514", "17514 2 8757", "8757 3 2919", "2919 3 973", "973 7 139", "139 139 1" ]
1930838
2 7 13 103 103
[ "1930838 2 965419", "965419 7 137917", "137917 13 10609", "10609 103 103", "103 103 1" ]
1560194
2 641 1217
[ "1560194 2 780097", "780097 641 1217", "1217 1217 1" ]
2713402
2 23 61 967
[ "2713402 2 1356701", "1356701 23 58987", "58987 61 967", "967 967 1" ]
4908397
13 41 9209
[ "4908397 13 377569", "377569 41 9209", "9209 9209 1" ]
4223016
2 2 2 3 3 3 3 7 7 7 19
[ "4223016 2 2111508", "2111508 2 1055754", "1055754 2 527877", "527877 3 175959", "175959 3 58653", "58653 3 19551", "19551 3 6517", "6517 7 931", "931 7 133", "133 7 19", "19 19 1" ]
4726344
2 2 2 3 7 7 4019
[ "4726344 2 2363172", "2363172 2 1181586", "1181586 2 590793", "590793 3 196931", "196931 7 28133", "28133 7 4019", "4019 4019 1" ]
4434346
2 7 113 2803
[ "4434346 2 2217173", "2217173 7 316739", "316739 113 2803", "2803 2803 1" ]
3768206
2 13 144931
[ "3768206 2 1884103", "1884103 13 144931", "144931 144931 1" ]
4477808
2 2 2 2 279863
[ "4477808 2 2238904", "2238904 2 1119452", "1119452 2 559726", "559726 2 279863", "279863 279863 1" ]
2278493
7 17 41 467
[ "2278493 7 325499", "325499 17 19147", "19147 41 467", "467 467 1" ]
51882
2 3 8647
[ "51882 2 25941", "25941 3 8647", "8647 8647 1" ]
8314
2 4157
[ "8314 2 4157", "4157 4157 1" ]
3821903
3821903
[ "3821903 3821903 1" ]
947426
2 47 10079
[ "947426 2 473713", "473713 47 10079", "10079 10079 1" ]
1769170
2 5 13 31 439
[ "1769170 2 884585", "884585 5 176917", "176917 13 13609", "13609 31 439", "439 439 1" ]
1273041
3 3 7 11 11 167
[ "1273041 3 424347", "424347 3 141449", "141449 7 20207", "20207 11 1837", "1837 11 167", "167 167 1" ]
4241505
3 5 282767
[ "4241505 3 1413835", "1413835 5 282767", "282767 282767 1" ]
4677160
2 2 2 5 116929
[ "4677160 2 2338580", "2338580 2 1169290", "1169290 2 584645", "584645 5 116929", "116929 116929 1" ]
4543845
3 5 17 103 173
[ "4543845 3 1514615", "1514615 5 302923", "302923 17 17819", "17819 103 173", "173 173 1" ]
1648922
2 11 241 311
[ "1648922 2 824461", "824461 11 74951", "74951 241 311", "311 311 1" ]
1200601
151 7951
[ "1200601 151 7951", "7951 7951 1" ]
561554
2 7 40111
[ "561554 2 280777", "280777 7 40111", "40111 40111 1" ]
2353087
11 11 19447
[ "2353087 11 213917", "213917 11 19447", "19447 19447 1" ]
4068464
2 2 2 2 254279
[ "4068464 2 2034232", "2034232 2 1017116", "1017116 2 508558", "508558 2 254279", "254279 254279 1" ]
3950260
2 2 5 263 751
[ "3950260 2 1975130", "1975130 2 987565", "987565 5 197513", "197513 263 751", "751 751 1" ]
2338481
131 17851
[ "2338481 131 17851", "17851 17851 1" ]
491005
5 283 347
[ "491005 5 98201", "98201 283 347", "347 347 1" ]
2523797
1181 2137
[ "2523797 1181 2137", "2137 2137 1" ]
3855616
2 2 2 2 2 2 2 2 15061
[ "3855616 2 1927808", "1927808 2 963904", "963904 2 481952", "481952 2 240976", "240976 2 120488", "120488 2 60244", "60244 2 30122", "30122 2 15061", "15061 15061 1" ]
1085564
2 2 223 1217
[ "1085564 2 542782", "542782 2 271391", "271391 223 1217", "1217 1217 1" ]
693972
2 2 3 3 37 521
[ "693972 2 346986", "346986 2 173493", "173493 3 57831", "57831 3 19277", "19277 37 521", "521 521 1" ]
1899933
3 7 90473
[ "1899933 3 633311", "633311 7 90473", "90473 90473 1" ]
4357338
2 3 17 42719
[ "4357338 2 2178669", "2178669 3 726223", "726223 17 42719", "42719 42719 1" ]
4207034
2 13 43 53 71
[ "4207034 2 2103517", "2103517 13 161809", "161809 43 3763", "3763 53 71", "71 71 1" ]
1517835
3 5 11 9199
[ "1517835 3 505945", "505945 5 101189", "101189 11 9199", "9199 9199 1" ]
4309282
2 2154641
[ "4309282 2 2154641", "2154641 2154641 1" ]
2787323
7 11 53 683
[ "2787323 7 398189", "398189 11 36199", "36199 53 683", "683 683 1" ]
2754887
53 59 881
[ "2754887 53 51979", "51979 59 881", "881 881 1" ]
1537368
2 2 2 3 7 9151
[ "1537368 2 768684", "768684 2 384342", "384342 2 192171", "192171 3 64057", "64057 7 9151", "9151 9151 1" ]
333876
2 2 3 27823
[ "333876 2 166938", "166938 2 83469", "83469 3 27823", "27823 27823 1" ]
278190
2 3 3 5 11 281
[ "278190 2 139095", "139095 3 46365", "46365 3 15455", "15455 5 3091", "3091 11 281", "281 281 1" ]
1448086
2 29 24967
[ "1448086 2 724043", "724043 29 24967", "24967 24967 1" ]
3016751
43 70157
[ "3016751 43 70157", "70157 70157 1" ]
4690152
2 2 2 3 3 65141
[ "4690152 2 2345076", "2345076 2 1172538", "1172538 2 586269", "586269 3 195423", "195423 3 65141", "65141 65141 1" ]
786526
2 13 13 13 179
[ "786526 2 393263", "393263 13 30251", "30251 13 2327", "2327 13 179", "179 179 1" ]
234602
2 41 2861
[ "234602 2 117301", "117301 41 2861", "2861 2861 1" ]
763078
2 19 43 467
[ "763078 2 381539", "381539 19 20081", "20081 43 467", "467 467 1" ]
2404918
2 31 79 491
[ "2404918 2 1202459", "1202459 31 38789", "38789 79 491", "491 491 1" ]
3306103
1249 2647
[ "3306103 1249 2647", "2647 2647 1" ]
902730
2 3 5 30091
[ "902730 2 451365", "451365 3 150455", "150455 5 30091", "30091 30091 1" ]
4170853
257 16229
[ "4170853 257 16229", "16229 16229 1" ]
4561188
2 2 3 149 2551
[ "4561188 2 2280594", "2280594 2 1140297", "1140297 3 380099", "380099 149 2551", "2551 2551 1" ]
4803323
7 7 61 1607
[ "4803323 7 686189", "686189 7 98027", "98027 61 1607", "1607 1607 1" ]
2179157
811 2687
[ "2179157 811 2687", "2687 2687 1" ]
4656386
2 7 31 10729
[ "4656386 2 2328193", "2328193 7 332599", "332599 31 10729", "10729 10729 1" ]
4288565
5 857713
[ "4288565 5 857713", "857713 857713 1" ]
3974960
2 2 2 2 5 11 4517
[ "3974960 2 1987480", "1987480 2 993740", "993740 2 496870", "496870 2 248435", "248435 5 49687", "49687 11 4517", "4517 4517 1" ]
3707486
2 1853743
[ "3707486 2 1853743", "1853743 1853743 1" ]
3017850
2 3 5 5 11 31 59
[ "3017850 2 1508925", "1508925 3 502975", "502975 5 100595", "100595 5 20119", "20119 11 1829", "1829 31 59", "59 59 1" ]
3518735
5 11 63977
[ "3518735 5 703747", "703747 11 63977", "63977 63977 1" ]
4251753
3 3 11 67 641
[ "4251753 3 1417251", "1417251 3 472417", "472417 11 42947", "42947 67 641", "641 641 1" ]
1830073
7 261439
[ "1830073 7 261439", "261439 261439 1" ]
1433666
2 13 67 823
[ "1433666 2 716833", "716833 13 55141", "55141 67 823", "823 823 1" ]
810616
2 2 2 19 5333
[ "810616 2 405308", "405308 2 202654", "202654 2 101327", "101327 19 5333", "5333 5333 1" ]
1269645
3 5 13 17 383
[ "1269645 3 423215", "423215 5 84643", "84643 13 6511", "6511 17 383", "383 383 1" ]
1494135
3 3 5 33203
[ "1494135 3 498045", "498045 3 166015", "166015 5 33203", "33203 33203 1" ]
2923123
7 409 1021
[ "2923123 7 417589", "417589 409 1021", "1021 1021 1" ]
3269521
683 4787
[ "3269521 683 4787", "4787 4787 1" ]
23978
2 19 631
[ "23978 2 11989", "11989 19 631", "631 631 1" ]
1482850
2 5 5 47 631
[ "1482850 2 741425", "741425 5 148285", "148285 5 29657", "29657 47 631", "631 631 1" ]
1581796
2 2 395449
[ "1581796 2 790898", "790898 2 395449", "395449 395449 1" ]
2825526
2 3 11 31 1381
[ "2825526 2 1412763", "1412763 3 470921", "470921 11 42811", "42811 31 1381", "1381 1381 1" ]
4759753
4759753
[ "4759753 4759753 1" ]
2121656
2 2 2 265207
[ "2121656 2 1060828", "1060828 2 530414", "530414 2 265207", "265207 265207 1" ]
2391975
3 3 5 5 10631
[ "2391975 3 797325", "797325 3 265775", "265775 5 53155", "53155 5 10631", "10631 10631 1" ]
2521633
31 81343
[ "2521633 31 81343", "81343 81343 1" ]