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
1983720
2 2 2 3 5 61 271
[ "1983720 2 991860", "991860 2 495930", "495930 2 247965", "247965 3 82655", "82655 5 16531", "16531 61 271", "271 271 1" ]
628327
7 7 12823
[ "628327 7 89761", "89761 7 12823", "12823 12823 1" ]
428026
2 17 12589
[ "428026 2 214013", "214013 17 12589", "12589 12589 1" ]
1077846
2 3 7 11 2333
[ "1077846 2 538923", "538923 3 179641", "179641 7 25663", "25663 11 2333", "2333 2333 1" ]
1290197
47 97 283
[ "1290197 47 27451", "27451 97 283", "283 283 1" ]
1048910
2 5 104891
[ "1048910 2 524455", "524455 5 104891", "104891 104891 1" ]
1803950
2 5 5 109 331
[ "1803950 2 901975", "901975 5 180395", "180395 5 36079", "36079 109 331", "331 331 1" ]
2720219
31 47 1867
[ "2720219 31 87749", "87749 47 1867", "1867 1867 1" ]
4515375
3 5 5 5 12041
[ "4515375 3 1505125", "1505125 5 301025", "301025 5 60205", "60205 5 12041", "12041 12041 1" ]
265361
79 3359
[ "265361 79 3359", "3359 3359 1" ]
997569
3 3 3 36947
[ "997569 3 332523", "332523 3 110841", "110841 3 36947", "36947 36947 1" ]
2832488
2 2 2 29 29 421
[ "2832488 2 1416244", "1416244 2 708122", "708122 2 354061", "354061 29 12209", "12209 29 421", "421 421 1" ]
1894067
7 37 71 103
[ "1894067 7 270581", "270581 37 7313", "7313 71 103", "103 103 1" ]
3535971
3 677 1741
[ "3535971 3 1178657", "1178657 677 1741", "1741 1741 1" ]
431544
2 2 2 3 17981
[ "431544 2 215772", "215772 2 107886", "107886 2 53943", "53943 3 17981", "17981 17981 1" ]
2608967
661 3947
[ "2608967 661 3947", "3947 3947 1" ]
564073
67 8419
[ "564073 67 8419", "8419 8419 1" ]
1963492
2 2 331 1483
[ "1963492 2 981746", "981746 2 490873", "490873 331 1483", "1483 1483 1" ]
2086770
2 3 5 7 19 523
[ "2086770 2 1043385", "1043385 3 347795", "347795 5 69559", "69559 7 9937", "9937 19 523", "523 523 1" ]
2185509
3 173 4211
[ "2185509 3 728503", "728503 173 4211", "4211 4211 1" ]
1554548
2 2 17 22861
[ "1554548 2 777274", "777274 2 388637", "388637 17 22861", "22861 22861 1" ]
3253781
3253781
[ "3253781 3253781 1" ]
952384
2 2 2 2 2 2 23 647
[ "952384 2 476192", "476192 2 238096", "238096 2 119048", "119048 2 59524", "59524 2 29762", "29762 2 14881", "14881 23 647", "647 647 1" ]
2565897
3 131 6529
[ "2565897 3 855299", "855299 131 6529", "6529 6529 1" ]
186324
2 2 3 15527
[ "186324 2 93162", "93162 2 46581", "46581 3 15527", "15527 15527 1" ]
2155972
2 2 7 13 5923
[ "2155972 2 1077986", "1077986 2 538993", "538993 7 76999", "76999 13 5923", "5923 5923 1" ]
985722
2 3 41 4007
[ "985722 2 492861", "492861 3 164287", "164287 41 4007", "4007 4007 1" ]
3973277
7 11 11 4691
[ "3973277 7 567611", "567611 11 51601", "51601 11 4691", "4691 4691 1" ]
4890265
5 978053
[ "4890265 5 978053", "978053 978053 1" ]
1892068
2 2 41 83 139
[ "1892068 2 946034", "946034 2 473017", "473017 41 11537", "11537 83 139", "139 139 1" ]
3298029
3 7 157049
[ "3298029 3 1099343", "1099343 7 157049", "157049 157049 1" ]
921481
11 19 4409
[ "921481 11 83771", "83771 19 4409", "4409 4409 1" ]
1649320
2 2 2 5 41233
[ "1649320 2 824660", "824660 2 412330", "412330 2 206165", "206165 5 41233", "41233 41233 1" ]
425095
5 11 59 131
[ "425095 5 85019", "85019 11 7729", "7729 59 131", "131 131 1" ]
3147710
2 5 314771
[ "3147710 2 1573855", "1573855 5 314771", "314771 314771 1" ]
1332370
2 5 13 37 277
[ "1332370 2 666185", "666185 5 133237", "133237 13 10249", "10249 37 277", "277 277 1" ]
2010021
3 13 51539
[ "2010021 3 670007", "670007 13 51539", "51539 51539 1" ]
4759303
17 83 3373
[ "4759303 17 279959", "279959 83 3373", "3373 3373 1" ]
3380253
3 1126751
[ "3380253 3 1126751", "1126751 1126751 1" ]
2920265
5 584053
[ "2920265 5 584053", "584053 584053 1" ]
661334
2 17 53 367
[ "661334 2 330667", "330667 17 19451", "19451 53 367", "367 367 1" ]
1975910
2 5 17 59 197
[ "1975910 2 987955", "987955 5 197591", "197591 17 11623", "11623 59 197", "197 197 1" ]
1903067
29 137 479
[ "1903067 29 65623", "65623 137 479", "479 479 1" ]
375093
3 3 71 587
[ "375093 3 125031", "125031 3 41677", "41677 71 587", "587 587 1" ]
1807556
2 2 139 3251
[ "1807556 2 903778", "903778 2 451889", "451889 139 3251", "3251 3251 1" ]
443648
2 2 2 2 2 2 2 2 1733
[ "443648 2 221824", "221824 2 110912", "110912 2 55456", "55456 2 27728", "27728 2 13864", "13864 2 6932", "6932 2 3466", "3466 2 1733", "1733 1733 1" ]
2197865
5 439573
[ "2197865 5 439573", "439573 439573 1" ]
2919794
2 557 2621
[ "2919794 2 1459897", "1459897 557 2621", "2621 2621 1" ]
2573548
2 2 173 3719
[ "2573548 2 1286774", "1286774 2 643387", "643387 173 3719", "3719 3719 1" ]
2531062
2 17 17 29 151
[ "2531062 2 1265531", "1265531 17 74443", "74443 17 4379", "4379 29 151", "151 151 1" ]
2474788
2 2 19 32563
[ "2474788 2 1237394", "1237394 2 618697", "618697 19 32563", "32563 32563 1" ]
4987496
2 2 2 623437
[ "4987496 2 2493748", "2493748 2 1246874", "1246874 2 623437", "623437 623437 1" ]
1334456
2 2 2 166807
[ "1334456 2 667228", "667228 2 333614", "333614 2 166807", "166807 166807 1" ]
3497148
2 2 3 3 3 32381
[ "3497148 2 1748574", "1748574 2 874287", "874287 3 291429", "291429 3 97143", "97143 3 32381", "32381 32381 1" ]
693815
5 138763
[ "693815 5 138763", "138763 138763 1" ]
2261712
2 2 2 2 3 47119
[ "2261712 2 1130856", "1130856 2 565428", "565428 2 282714", "282714 2 141357", "141357 3 47119", "47119 47119 1" ]
323988
2 2 3 7 7 19 29
[ "323988 2 161994", "161994 2 80997", "80997 3 26999", "26999 7 3857", "3857 7 551", "551 19 29", "29 29 1" ]
4217782
2 311 6781
[ "4217782 2 2108891", "2108891 311 6781", "6781 6781 1" ]
770077
7 11 73 137
[ "770077 7 110011", "110011 11 10001", "10001 73 137", "137 137 1" ]
556283
7 13 6113
[ "556283 7 79469", "79469 13 6113", "6113 6113 1" ]
3126145
5 11 113 503
[ "3126145 5 625229", "625229 11 56839", "56839 113 503", "503 503 1" ]
3767081
17 37 53 113
[ "3767081 17 221593", "221593 37 5989", "5989 53 113", "113 113 1" ]
3434542
2 229 7499
[ "3434542 2 1717271", "1717271 229 7499", "7499 7499 1" ]
2431170
2 3 3 5 7 17 227
[ "2431170 2 1215585", "1215585 3 405195", "405195 3 135065", "135065 5 27013", "27013 7 3859", "3859 17 227", "227 227 1" ]
4144004
2 2 1036001
[ "4144004 2 2072002", "2072002 2 1036001", "1036001 1036001 1" ]
2284194
2 3 11 53 653
[ "2284194 2 1142097", "1142097 3 380699", "380699 11 34609", "34609 53 653", "653 653 1" ]
4257574
2 797 2671
[ "4257574 2 2128787", "2128787 797 2671", "2671 2671 1" ]
3224622
2 3 79 6803
[ "3224622 2 1612311", "1612311 3 537437", "537437 79 6803", "6803 6803 1" ]
811234
2 587 691
[ "811234 2 405617", "405617 587 691", "691 691 1" ]
2547691
19 134089
[ "2547691 19 134089", "134089 134089 1" ]
4547845
5 97 9377
[ "4547845 5 909569", "909569 97 9377", "9377 9377 1" ]
1736722
2 13 66797
[ "1736722 2 868361", "868361 13 66797", "66797 66797 1" ]
1436024
2 2 2 17 10559
[ "1436024 2 718012", "718012 2 359006", "359006 2 179503", "179503 17 10559", "10559 10559 1" ]
4992805
5 998561
[ "4992805 5 998561", "998561 998561 1" ]
3336939
3 3 101 3671
[ "3336939 3 1112313", "1112313 3 370771", "370771 101 3671", "3671 3671 1" ]
2184630
2 3 5 7 101 103
[ "2184630 2 1092315", "1092315 3 364105", "364105 5 72821", "72821 7 10403", "10403 101 103", "103 103 1" ]
3169019
7 107 4231
[ "3169019 7 452717", "452717 107 4231", "4231 4231 1" ]
3046278
2 3 507713
[ "3046278 2 1523139", "1523139 3 507713", "507713 507713 1" ]
476338
2 37 41 157
[ "476338 2 238169", "238169 37 6437", "6437 41 157", "157 157 1" ]
3870147
3 1290049
[ "3870147 3 1290049", "1290049 1290049 1" ]
4887873
3 3 543097
[ "4887873 3 1629291", "1629291 3 543097", "543097 543097 1" ]
3503487
3 13 89833
[ "3503487 3 1167829", "1167829 13 89833", "89833 89833 1" ]
1018859
1018859
[ "1018859 1018859 1" ]
3336369
3 17 65419
[ "3336369 3 1112123", "1112123 17 65419", "65419 65419 1" ]
805575
3 5 5 23 467
[ "805575 3 268525", "268525 5 53705", "53705 5 10741", "10741 23 467", "467 467 1" ]
4316655
3 5 7 7 7 839
[ "4316655 3 1438885", "1438885 5 287777", "287777 7 41111", "41111 7 5873", "5873 7 839", "839 839 1" ]
1130305
5 11 20551
[ "1130305 5 226061", "226061 11 20551", "20551 20551 1" ]
4605513
3 11 67 2083
[ "4605513 3 1535171", "1535171 11 139561", "139561 67 2083", "2083 2083 1" ]
2212514
2 1106257
[ "2212514 2 1106257", "1106257 1106257 1" ]
4160758
2 7 31 9587
[ "4160758 2 2080379", "2080379 7 297197", "297197 31 9587", "9587 9587 1" ]
1331178
2 3 19 11677
[ "1331178 2 665589", "665589 3 221863", "221863 19 11677", "11677 11677 1" ]
1924279
7 7 173 227
[ "1924279 7 274897", "274897 7 39271", "39271 173 227", "227 227 1" ]
36824
2 2 2 4603
[ "36824 2 18412", "18412 2 9206", "9206 2 4603", "4603 4603 1" ]
4000488
2 2 2 3 19 31 283
[ "4000488 2 2000244", "2000244 2 1000122", "1000122 2 500061", "500061 3 166687", "166687 19 8773", "8773 31 283", "283 283 1" ]
3588061
3588061
[ "3588061 3588061 1" ]
3589357
23 156059
[ "3589357 23 156059", "156059 156059 1" ]
2125910
2 5 19 67 167
[ "2125910 2 1062955", "1062955 5 212591", "212591 19 11189", "11189 67 167", "167 167 1" ]
2220468
2 2 3 31 47 127
[ "2220468 2 1110234", "1110234 2 555117", "555117 3 185039", "185039 31 5969", "5969 47 127", "127 127 1" ]
3122101
17 43 4271
[ "3122101 17 183653", "183653 43 4271", "4271 4271 1" ]
3194936
2 2 2 61 6547
[ "3194936 2 1597468", "1597468 2 798734", "798734 2 399367", "399367 61 6547", "6547 6547 1" ]