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
4480003
11 407273
[ "4480003 11 407273", "407273 407273 1" ]
64794
2 3 10799
[ "64794 2 32397", "32397 3 10799", "10799 10799 1" ]
1501742
2 11 68261
[ "1501742 2 750871", "750871 11 68261", "68261 68261 1" ]
1980541
19 104239
[ "1980541 19 104239", "104239 104239 1" ]
27586
2 13 1061
[ "27586 2 13793", "13793 13 1061", "1061 1061 1" ]
1571962
2 7 47 2389
[ "1571962 2 785981", "785981 7 112283", "112283 47 2389", "2389 2389 1" ]
1688189
1688189
[ "1688189 1688189 1" ]
1283922
2 3 3 71329
[ "1283922 2 641961", "641961 3 213987", "213987 3 71329", "71329 71329 1" ]
793071
3 3 3 3 9791
[ "793071 3 264357", "264357 3 88119", "88119 3 29373", "29373 3 9791", "9791 9791 1" ]
4799794
2 2399897
[ "4799794 2 2399897", "2399897 2399897 1" ]
2753741
127 21683
[ "2753741 127 21683", "21683 21683 1" ]
991728
2 2 2 2 3 3 71 97
[ "991728 2 495864", "495864 2 247932", "247932 2 123966", "123966 2 61983", "61983 3 20661", "20661 3 6887", "6887 71 97", "97 97 1" ]
849168
2 2 2 2 3 3 5897
[ "849168 2 424584", "424584 2 212292", "212292 2 106146", "106146 2 53073", "53073 3 17691", "17691 3 5897", "5897 5897 1" ]
671125
5 5 5 7 13 59
[ "671125 5 134225", "134225 5 26845", "26845 5 5369", "5369 7 767", "767 13 59", "59 59 1" ]
2010815
5 31 12973
[ "2010815 5 402163", "402163 31 12973", "12973 12973 1" ]
3258385
5 13 50129
[ "3258385 5 651677", "651677 13 50129", "50129 50129 1" ]
706893
3 11 31 691
[ "706893 3 235631", "235631 11 21421", "21421 31 691", "691 691 1" ]
3020695
5 67 71 127
[ "3020695 5 604139", "604139 67 9017", "9017 71 127", "127 127 1" ]
4241851
4241851
[ "4241851 4241851 1" ]
596491
7 85213
[ "596491 7 85213", "85213 85213 1" ]
2888772
2 2 3 67 3593
[ "2888772 2 1444386", "1444386 2 722193", "722193 3 240731", "240731 67 3593", "3593 3593 1" ]
2546990
2 5 254699
[ "2546990 2 1273495", "1273495 5 254699", "254699 254699 1" ]
678620
2 2 5 33931
[ "678620 2 339310", "339310 2 169655", "169655 5 33931", "33931 33931 1" ]
2223041
31 71711
[ "2223041 31 71711", "71711 71711 1" ]
1414073
1414073
[ "1414073 1414073 1" ]
925727
11 23 3659
[ "925727 11 84157", "84157 23 3659", "3659 3659 1" ]
751807
7 7 67 229
[ "751807 7 107401", "107401 7 15343", "15343 67 229", "229 229 1" ]
3515414
2 7 293 857
[ "3515414 2 1757707", "1757707 7 251101", "251101 293 857", "857 857 1" ]
3227056
2 2 2 2 7 28813
[ "3227056 2 1613528", "1613528 2 806764", "806764 2 403382", "403382 2 201691", "201691 7 28813", "28813 28813 1" ]
1599443
23 197 353
[ "1599443 23 69541", "69541 197 353", "353 353 1" ]
4466837
4466837
[ "4466837 4466837 1" ]
868009
281 3089
[ "868009 281 3089", "3089 3089 1" ]
1967103
3 3 127 1721
[ "1967103 3 655701", "655701 3 218567", "218567 127 1721", "1721 1721 1" ]
3897103
7 31 17959
[ "3897103 7 556729", "556729 31 17959", "17959 17959 1" ]
4870378
2 2435189
[ "4870378 2 2435189", "2435189 2435189 1" ]
3148612
2 2 787153
[ "3148612 2 1574306", "1574306 2 787153", "787153 787153 1" ]
874838
2 421 1039
[ "874838 2 437419", "437419 421 1039", "1039 1039 1" ]
3002870
2 5 13 23099
[ "3002870 2 1501435", "1501435 5 300287", "300287 13 23099", "23099 23099 1" ]
2443177
11 222107
[ "2443177 11 222107", "222107 222107 1" ]
2027230
2 5 37 5479
[ "2027230 2 1013615", "1013615 5 202723", "202723 37 5479", "5479 5479 1" ]
3785468
2 2 946367
[ "3785468 2 1892734", "1892734 2 946367", "946367 946367 1" ]
1298932
2 2 324733
[ "1298932 2 649466", "649466 2 324733", "324733 324733 1" ]
1840589
181 10169
[ "1840589 181 10169", "10169 10169 1" ]
1813152
2 2 2 2 2 3 11 17 101
[ "1813152 2 906576", "906576 2 453288", "453288 2 226644", "226644 2 113322", "113322 2 56661", "56661 3 18887", "18887 11 1717", "1717 17 101", "101 101 1" ]
1014504
2 2 2 3 41 1031
[ "1014504 2 507252", "507252 2 253626", "253626 2 126813", "126813 3 42271", "42271 41 1031", "1031 1031 1" ]
2105519
13 149 1087
[ "2105519 13 161963", "161963 149 1087", "1087 1087 1" ]
2183000
2 2 2 5 5 5 37 59
[ "2183000 2 1091500", "1091500 2 545750", "545750 2 272875", "272875 5 54575", "54575 5 10915", "10915 5 2183", "2183 37 59", "59 59 1" ]
32371
32371
[ "32371 32371 1" ]
3846609
3 3 3 3 13 13 281
[ "3846609 3 1282203", "1282203 3 427401", "427401 3 142467", "142467 3 47489", "47489 13 3653", "3653 13 281", "281 281 1" ]
1006135
5 13 23 673
[ "1006135 5 201227", "201227 13 15479", "15479 23 673", "673 673 1" ]
2480225
5 5 11 29 311
[ "2480225 5 496045", "496045 5 99209", "99209 11 9019", "9019 29 311", "311 311 1" ]
1589425
5 5 63577
[ "1589425 5 317885", "317885 5 63577", "63577 63577 1" ]
222351
3 137 541
[ "222351 3 74117", "74117 137 541", "541 541 1" ]
1592814
2 3 71 3739
[ "1592814 2 796407", "796407 3 265469", "265469 71 3739", "3739 3739 1" ]
1113068
2 2 11 41 617
[ "1113068 2 556534", "556534 2 278267", "278267 11 25297", "25297 41 617", "617 617 1" ]
1141096
2 2 2 11 12967
[ "1141096 2 570548", "570548 2 285274", "285274 2 142637", "142637 11 12967", "12967 12967 1" ]
1590089
937 1697
[ "1590089 937 1697", "1697 1697 1" ]
2504066
2 17 47 1567
[ "2504066 2 1252033", "1252033 17 73649", "73649 47 1567", "1567 1567 1" ]
4280034
2 3 11 64849
[ "4280034 2 2140017", "2140017 3 713339", "713339 11 64849", "64849 64849 1" ]
955264
2 2 2 2 2 2 2 17 439
[ "955264 2 477632", "477632 2 238816", "238816 2 119408", "119408 2 59704", "59704 2 29852", "29852 2 14926", "14926 2 7463", "7463 17 439", "439 439 1" ]
4302121
29 109 1361
[ "4302121 29 148349", "148349 109 1361", "1361 1361 1" ]
1165162
2 29 20089
[ "1165162 2 582581", "582581 29 20089", "20089 20089 1" ]
3778979
1499 2521
[ "3778979 1499 2521", "2521 2521 1" ]
1180119
3 393373
[ "1180119 3 393373", "393373 393373 1" ]
2858981
2858981
[ "2858981 2858981 1" ]
2074436
2 2 7 13 41 139
[ "2074436 2 1037218", "1037218 2 518609", "518609 7 74087", "74087 13 5699", "5699 41 139", "139 139 1" ]
2712492
2 2 3 3 75347
[ "2712492 2 1356246", "1356246 2 678123", "678123 3 226041", "226041 3 75347", "75347 75347 1" ]
2627998
2 1313999
[ "2627998 2 1313999", "1313999 1313999 1" ]
270150
2 3 5 5 1801
[ "270150 2 135075", "135075 3 45025", "45025 5 9005", "9005 5 1801", "1801 1801 1" ]
470953
7 19 3541
[ "470953 7 67279", "67279 19 3541", "3541 3541 1" ]
104977
113 929
[ "104977 113 929", "929 929 1" ]
1473726
2 3 245621
[ "1473726 2 736863", "736863 3 245621", "245621 245621 1" ]
2416524
2 2 3 11 18307
[ "2416524 2 1208262", "1208262 2 604131", "604131 3 201377", "201377 11 18307", "18307 18307 1" ]
741444
2 2 3 11 41 137
[ "741444 2 370722", "370722 2 185361", "185361 3 61787", "61787 11 5617", "5617 41 137", "137 137 1" ]
1090124
2 2 7 38933
[ "1090124 2 545062", "545062 2 272531", "272531 7 38933", "38933 38933 1" ]
1167288
2 2 2 3 17 2861
[ "1167288 2 583644", "583644 2 291822", "291822 2 145911", "145911 3 48637", "48637 17 2861", "2861 2861 1" ]
2689646
2 1344823
[ "2689646 2 1344823", "1344823 1344823 1" ]
4596287
4596287
[ "4596287 4596287 1" ]
239571
3 3 3 19 467
[ "239571 3 79857", "79857 3 26619", "26619 3 8873", "8873 19 467", "467 467 1" ]
1698015
3 5 11 41 251
[ "1698015 3 566005", "566005 5 113201", "113201 11 10291", "10291 41 251", "251 251 1" ]
1904695
5 13 29303
[ "1904695 5 380939", "380939 13 29303", "29303 29303 1" ]
996905
5 7 7 13 313
[ "996905 5 199381", "199381 7 28483", "28483 7 4069", "4069 13 313", "313 313 1" ]
3906245
5 7 233 479
[ "3906245 5 781249", "781249 7 111607", "111607 233 479", "479 479 1" ]
4774361
4774361
[ "4774361 4774361 1" ]
3358273
307 10939
[ "3358273 307 10939", "10939 10939 1" ]
981417
3 41 79 101
[ "981417 3 327139", "327139 41 7979", "7979 79 101", "101 101 1" ]
1833677
1833677
[ "1833677 1833677 1" ]
4120989
3 641 2143
[ "4120989 3 1373663", "1373663 641 2143", "2143 2143 1" ]
2055424
2 2 2 2 2 2 2 2 7 31 37
[ "2055424 2 1027712", "1027712 2 513856", "513856 2 256928", "256928 2 128464", "128464 2 64232", "64232 2 32116", "32116 2 16058", "16058 2 8029", "8029 7 1147", "1147 31 37", "37 37 1" ]
3445850
2 5 5 68917
[ "3445850 2 1722925", "1722925 5 344585", "344585 5 68917", "68917 68917 1" ]
1024155
3 3 5 11 2069
[ "1024155 3 341385", "341385 3 113795", "113795 5 22759", "22759 11 2069", "2069 2069 1" ]
2283968
2 2 2 2 2 2 127 281
[ "2283968 2 1141984", "1141984 2 570992", "570992 2 285496", "285496 2 142748", "142748 2 71374", "71374 2 35687", "35687 127 281", "281 281 1" ]
966803
966803
[ "966803 966803 1" ]
3705156
2 2 3 3 3 7 13 13 29
[ "3705156 2 1852578", "1852578 2 926289", "926289 3 308763", "308763 3 102921", "102921 3 34307", "34307 7 4901", "4901 13 377", "377 13 29", "29 29 1" ]
4086610
2 5 11 97 383
[ "4086610 2 2043305", "2043305 5 408661", "408661 11 37151", "37151 97 383", "383 383 1" ]
4005761
17 101 2333
[ "4005761 17 235633", "235633 101 2333", "2333 2333 1" ]
3982275
3 3 5 5 11 1609
[ "3982275 3 1327425", "1327425 3 442475", "442475 5 88495", "88495 5 17699", "17699 11 1609", "1609 1609 1" ]
376469
376469
[ "376469 376469 1" ]
4698826
2 11 137 1559
[ "4698826 2 2349413", "2349413 11 213583", "213583 137 1559", "1559 1559 1" ]
1485017
1485017
[ "1485017 1485017 1" ]