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
3381795
3 3 5 223 337
[ "3381795 3 1127265", "1127265 3 375755", "375755 5 75151", "75151 223 337", "337 337 1" ]
1968122
2 13 59 1283
[ "1968122 2 984061", "984061 13 75697", "75697 59 1283", "1283 1283 1" ]
3922181
401 9781
[ "3922181 401 9781", "9781 9781 1" ]
134382
2 3 22397
[ "134382 2 67191", "67191 3 22397", "22397 22397 1" ]
3134875
5 5 5 31 809
[ "3134875 5 626975", "626975 5 125395", "125395 5 25079", "25079 31 809", "809 809 1" ]
243810
2 3 3 3 3 5 7 43
[ "243810 2 121905", "121905 3 40635", "40635 3 13545", "13545 3 4515", "4515 3 1505", "1505 5 301", "301 7 43", "43 43 1" ]
3163418
2 1581709
[ "3163418 2 1581709", "1581709 1581709 1" ]
1611090
2 3 3 3 3 3 3 5 13 17
[ "1611090 2 805545", "805545 3 268515", "268515 3 89505", "89505 3 29835", "29835 3 9945", "9945 3 3315", "3315 3 1105", "1105 5 221", "221 13 17", "17 17 1" ]
222177
3 31 2389
[ "222177 3 74059", "74059 31 2389", "2389 2389 1" ]
358647
3 119549
[ "358647 3 119549", "119549 119549 1" ]
1418700
2 2 3 5 5 4729
[ "1418700 2 709350", "709350 2 354675", "354675 3 118225", "118225 5 23645", "23645 5 4729", "4729 4729 1" ]
4612529
4612529
[ "4612529 4612529 1" ]
2969584
2 2 2 2 185599
[ "2969584 2 1484792", "1484792 2 742396", "742396 2 371198", "371198 2 185599", "185599 185599 1" ]
4023001
4023001
[ "4023001 4023001 1" ]
1916579
7 273797
[ "1916579 7 273797", "273797 273797 1" ]
2762287
11 251117
[ "2762287 11 251117", "251117 251117 1" ]
1408510
2 5 83 1697
[ "1408510 2 704255", "704255 5 140851", "140851 83 1697", "1697 1697 1" ]
4725772
2 2 1181443
[ "4725772 2 2362886", "2362886 2 1181443", "1181443 1181443 1" ]
535485
3 5 29 1231
[ "535485 3 178495", "178495 5 35699", "35699 29 1231", "1231 1231 1" ]
1912130
2 5 11 17383
[ "1912130 2 956065", "956065 5 191213", "191213 11 17383", "17383 17383 1" ]
3375226
2 1687613
[ "3375226 2 1687613", "1687613 1687613 1" ]
3614676
2 2 3 13 17 29 47
[ "3614676 2 1807338", "1807338 2 903669", "903669 3 301223", "301223 13 23171", "23171 17 1363", "1363 29 47", "47 47 1" ]
2754224
2 2 2 2 11 15649
[ "2754224 2 1377112", "1377112 2 688556", "688556 2 344278", "344278 2 172139", "172139 11 15649", "15649 15649 1" ]
2480770
2 5 248077
[ "2480770 2 1240385", "1240385 5 248077", "248077 248077 1" ]
161505
3 3 5 37 97
[ "161505 3 53835", "53835 3 17945", "17945 5 3589", "3589 37 97", "97 97 1" ]
3141130
2 5 314113
[ "3141130 2 1570565", "1570565 5 314113", "314113 314113 1" ]
1883109
3 19 33037
[ "1883109 3 627703", "627703 19 33037", "33037 33037 1" ]
1301867
7 179 1039
[ "1301867 7 185981", "185981 179 1039", "1039 1039 1" ]
4937453
29 89 1913
[ "4937453 29 170257", "170257 89 1913", "1913 1913 1" ]
4668491
4668491
[ "4668491 4668491 1" ]
1179823
59 19997
[ "1179823 59 19997", "19997 19997 1" ]
2832367
43 199 331
[ "2832367 43 65869", "65869 199 331", "331 331 1" ]
980520
2 2 2 3 5 8171
[ "980520 2 490260", "490260 2 245130", "245130 2 122565", "122565 3 40855", "40855 5 8171", "8171 8171 1" ]
4596215
5 13 31 2281
[ "4596215 5 919243", "919243 13 70711", "70711 31 2281", "2281 2281 1" ]
1955531
1955531
[ "1955531 1955531 1" ]
2050820
2 2 5 41 41 61
[ "2050820 2 1025410", "1025410 2 512705", "512705 5 102541", "102541 41 2501", "2501 41 61", "61 61 1" ]
223564
2 2 11 5081
[ "223564 2 111782", "111782 2 55891", "55891 11 5081", "5081 5081 1" ]
4317047
7 7 19 4637
[ "4317047 7 616721", "616721 7 88103", "88103 19 4637", "4637 4637 1" ]
4509590
2 5 17 41 647
[ "4509590 2 2254795", "2254795 5 450959", "450959 17 26527", "26527 41 647", "647 647 1" ]
766668
2 2 3 7 9127
[ "766668 2 383334", "383334 2 191667", "191667 3 63889", "63889 7 9127", "9127 9127 1" ]
3863238
2 3 643873
[ "3863238 2 1931619", "1931619 3 643873", "643873 643873 1" ]
1536175
5 5 43 1429
[ "1536175 5 307235", "307235 5 61447", "61447 43 1429", "1429 1429 1" ]
1522646
2 23 79 419
[ "1522646 2 761323", "761323 23 33101", "33101 79 419", "419 419 1" ]
1684996
2 2 19 22171
[ "1684996 2 842498", "842498 2 421249", "421249 19 22171", "22171 22171 1" ]
1125222
2 3 7 73 367
[ "1125222 2 562611", "562611 3 187537", "187537 7 26791", "26791 73 367", "367 367 1" ]
1217067
3 405689
[ "1217067 3 405689", "405689 405689 1" ]
3886129
13 31 9643
[ "3886129 13 298933", "298933 31 9643", "9643 9643 1" ]
2215741
11 157 1283
[ "2215741 11 201431", "201431 157 1283", "1283 1283 1" ]
2138070
2 3 5 11 11 19 31
[ "2138070 2 1069035", "1069035 3 356345", "356345 5 71269", "71269 11 6479", "6479 11 589", "589 19 31", "31 31 1" ]
452820
2 2 3 5 7547
[ "452820 2 226410", "226410 2 113205", "113205 3 37735", "37735 5 7547", "7547 7547 1" ]
1529417
139 11003
[ "1529417 139 11003", "11003 11003 1" ]
2149281
3 3 3 23 3461
[ "2149281 3 716427", "716427 3 238809", "238809 3 79603", "79603 23 3461", "3461 3461 1" ]
809646
2 3 23 5867
[ "809646 2 404823", "404823 3 134941", "134941 23 5867", "5867 5867 1" ]
2175771
3 13 47 1187
[ "2175771 3 725257", "725257 13 55789", "55789 47 1187", "1187 1187 1" ]
2455029
3 3 3 3 3 10103
[ "2455029 3 818343", "818343 3 272781", "272781 3 90927", "90927 3 30309", "30309 3 10103", "10103 10103 1" ]
4963415
5 197 5039
[ "4963415 5 992683", "992683 197 5039", "5039 5039 1" ]
2125950
2 3 5 5 14173
[ "2125950 2 1062975", "1062975 3 354325", "354325 5 70865", "70865 5 14173", "14173 14173 1" ]
200348
2 2 50087
[ "200348 2 100174", "100174 2 50087", "50087 50087 1" ]
2671146
2 3 3 31 4787
[ "2671146 2 1335573", "1335573 3 445191", "445191 3 148397", "148397 31 4787", "4787 4787 1" ]
1672422
2 3 23 12119
[ "1672422 2 836211", "836211 3 278737", "278737 23 12119", "12119 12119 1" ]
4730209
11 430019
[ "4730209 11 430019", "430019 430019 1" ]
1565366
2 11 71153
[ "1565366 2 782683", "782683 11 71153", "71153 71153 1" ]
484147
47 10301
[ "484147 47 10301", "10301 10301 1" ]
3032441
3032441
[ "3032441 3032441 1" ]
4474733
4474733
[ "4474733 4474733 1" ]
3441674
2 23 23 3253
[ "3441674 2 1720837", "1720837 23 74819", "74819 23 3253", "3253 3253 1" ]
198932
2 2 41 1213
[ "198932 2 99466", "99466 2 49733", "49733 41 1213", "1213 1213 1" ]
4408344
2 2 2 3 3 3 3 6803
[ "4408344 2 2204172", "2204172 2 1102086", "1102086 2 551043", "551043 3 183681", "183681 3 61227", "61227 3 20409", "20409 3 6803", "6803 6803 1" ]
2036767
139 14653
[ "2036767 139 14653", "14653 14653 1" ]
425141
43 9887
[ "425141 43 9887", "9887 9887 1" ]
3643648
2 2 2 2 2 2 2 2 43 331
[ "3643648 2 1821824", "1821824 2 910912", "910912 2 455456", "455456 2 227728", "227728 2 113864", "113864 2 56932", "56932 2 28466", "28466 2 14233", "14233 43 331", "331 331 1" ]
2242569
3 7 23 4643
[ "2242569 3 747523", "747523 7 106789", "106789 23 4643", "4643 4643 1" ]
2845028
2 2 311 2287
[ "2845028 2 1422514", "1422514 2 711257", "711257 311 2287", "2287 2287 1" ]
2002104
2 2 2 3 3 3 13 23 31
[ "2002104 2 1001052", "1001052 2 500526", "500526 2 250263", "250263 3 83421", "83421 3 27807", "27807 3 9269", "9269 13 713", "713 23 31", "31 31 1" ]
4200059
331 12689
[ "4200059 331 12689", "12689 12689 1" ]
1932319
19 101701
[ "1932319 19 101701", "101701 101701 1" ]
4102367
1367 3001
[ "4102367 1367 3001", "3001 3001 1" ]
2930773
2930773
[ "2930773 2930773 1" ]
3884186
2 37 52489
[ "3884186 2 1942093", "1942093 37 52489", "52489 52489 1" ]
4305836
2 2 263 4093
[ "4305836 2 2152918", "2152918 2 1076459", "1076459 263 4093", "4093 4093 1" ]
527954
2 7 43 877
[ "527954 2 263977", "263977 7 37711", "37711 43 877", "877 877 1" ]
1045050
2 3 5 5 6967
[ "1045050 2 522525", "522525 3 174175", "174175 5 34835", "34835 5 6967", "6967 6967 1" ]
4496444
2 2 131 8581
[ "4496444 2 2248222", "2248222 2 1124111", "1124111 131 8581", "8581 8581 1" ]
4737299
7 53 113 113
[ "4737299 7 676757", "676757 53 12769", "12769 113 113", "113 113 1" ]
2264523
3 29 26029
[ "2264523 3 754841", "754841 29 26029", "26029 26029 1" ]
3542378
2 7 89 2843
[ "3542378 2 1771189", "1771189 7 253027", "253027 89 2843", "2843 2843 1" ]
1798777
107 16811
[ "1798777 107 16811", "16811 16811 1" ]
4446524
2 2 127 8753
[ "4446524 2 2223262", "2223262 2 1111631", "1111631 127 8753", "8753 8753 1" ]
1358181
3 3 3 11 17 269
[ "1358181 3 452727", "452727 3 150909", "150909 3 50303", "50303 11 4573", "4573 17 269", "269 269 1" ]
2222748
2 2 3 3 3 11 1871
[ "2222748 2 1111374", "1111374 2 555687", "555687 3 185229", "185229 3 61743", "61743 3 20581", "20581 11 1871", "1871 1871 1" ]
1509668
2 2 17 149 149
[ "1509668 2 754834", "754834 2 377417", "377417 17 22201", "22201 149 149", "149 149 1" ]
1642355
5 11 13 2297
[ "1642355 5 328471", "328471 11 29861", "29861 13 2297", "2297 2297 1" ]
477083
349 1367
[ "477083 349 1367", "1367 1367 1" ]
770647
770647
[ "770647 770647 1" ]
1207738
2 7 281 307
[ "1207738 2 603869", "603869 7 86267", "86267 281 307", "307 307 1" ]
377405
5 7 41 263
[ "377405 5 75481", "75481 7 10783", "10783 41 263", "263 263 1" ]
986951
7 277 509
[ "986951 7 140993", "140993 277 509", "509 509 1" ]
1993705
5 7 56963
[ "1993705 5 398741", "398741 7 56963", "56963 56963 1" ]
1396106
2 698053
[ "1396106 2 698053", "698053 698053 1" ]
1731925
5 5 13 73 73
[ "1731925 5 346385", "346385 5 69277", "69277 13 5329", "5329 73 73", "73 73 1" ]