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
1519877
263 5779
[ "1519877 263 5779", "5779 5779 1" ]
2561157
3 3 284573
[ "2561157 3 853719", "853719 3 284573", "284573 284573 1" ]
683561
523 1307
[ "683561 523 1307", "1307 1307 1" ]
311407
311407
[ "311407 311407 1" ]
4510468
2 2 1127617
[ "4510468 2 2255234", "2255234 2 1127617", "1127617 1127617 1" ]
2267910
2 3 3 5 113 223
[ "2267910 2 1133955", "1133955 3 377985", "377985 3 125995", "125995 5 25199", "25199 113 223", "223 223 1" ]
2060188
2 2 13 39619
[ "2060188 2 1030094", "1030094 2 515047", "515047 13 39619", "39619 39619 1" ]
2081723
7 83 3583
[ "2081723 7 297389", "297389 83 3583", "3583 3583 1" ]
3246751
3246751
[ "3246751 3246751 1" ]
1994625
3 3 3 3 5 5 5 197
[ "1994625 3 664875", "664875 3 221625", "221625 3 73875", "73875 3 24625", "24625 5 4925", "4925 5 985", "985 5 197", "197 197 1" ]
1960660
2 2 5 13 7541
[ "1960660 2 980330", "980330 2 490165", "490165 5 98033", "98033 13 7541", "7541 7541 1" ]
1612184
2 2 2 7 28789
[ "1612184 2 806092", "806092 2 403046", "403046 2 201523", "201523 7 28789", "28789 28789 1" ]
3579843
3 17 17 4129
[ "3579843 3 1193281", "1193281 17 70193", "70193 17 4129", "4129 4129 1" ]
3832879
3832879
[ "3832879 3832879 1" ]
4664602
2 191 12211
[ "4664602 2 2332301", "2332301 191 12211", "12211 12211 1" ]
607111
101 6011
[ "607111 101 6011", "6011 6011 1" ]
2075038
2 7 103 1439
[ "2075038 2 1037519", "1037519 7 148217", "148217 103 1439", "1439 1439 1" ]
525121
137 3833
[ "525121 137 3833", "3833 3833 1" ]
2497366
2 1021 1223
[ "2497366 2 1248683", "1248683 1021 1223", "1223 1223 1" ]
3286421
103 31907
[ "3286421 103 31907", "31907 31907 1" ]
2681483
7 383069
[ "2681483 7 383069", "383069 383069 1" ]
2292810
2 3 5 13 5879
[ "2292810 2 1146405", "1146405 3 382135", "382135 5 76427", "76427 13 5879", "5879 5879 1" ]
3130899
3 101 10333
[ "3130899 3 1043633", "1043633 101 10333", "10333 10333 1" ]
2755
5 19 29
[ "2755 5 551", "551 19 29", "29 29 1" ]
2597781
3 23 37649
[ "2597781 3 865927", "865927 23 37649", "37649 37649 1" ]
3340098
2 3 3 97 1913
[ "3340098 2 1670049", "1670049 3 556683", "556683 3 185561", "185561 97 1913", "1913 1913 1" ]
1569362
2 19 41299
[ "1569362 2 784681", "784681 19 41299", "41299 41299 1" ]
2164651
19 59 1931
[ "2164651 19 113929", "113929 59 1931", "1931 1931 1" ]
278406
2 3 3 15467
[ "278406 2 139203", "139203 3 46401", "46401 3 15467", "15467 15467 1" ]
714088
2 2 2 89261
[ "714088 2 357044", "357044 2 178522", "178522 2 89261", "89261 89261 1" ]
649045
5 271 479
[ "649045 5 129809", "129809 271 479", "479 479 1" ]
3702040
2 2 2 5 92551
[ "3702040 2 1851020", "1851020 2 925510", "925510 2 462755", "462755 5 92551", "92551 92551 1" ]
282551
59 4789
[ "282551 59 4789", "4789 4789 1" ]
2703109
37 43 1699
[ "2703109 37 73057", "73057 43 1699", "1699 1699 1" ]
4995936
2 2 2 2 2 3 3 11 19 83
[ "4995936 2 2497968", "2497968 2 1248984", "1248984 2 624492", "624492 2 312246", "312246 2 156123", "156123 3 52041", "52041 3 17347", "17347 11 1577", "1577 19 83", "83 83 1" ]
2624394
2 3 19 23021
[ "2624394 2 1312197", "1312197 3 437399", "437399 19 23021", "23021 23021 1" ]
385464
2 2 2 3 16061
[ "385464 2 192732", "192732 2 96366", "96366 2 48183", "48183 3 16061", "16061 16061 1" ]
667026
2 3 3 37057
[ "667026 2 333513", "333513 3 111171", "111171 3 37057", "37057 37057 1" ]
1564187
17 101 911
[ "1564187 17 92011", "92011 101 911", "911 911 1" ]
2736330
2 3 5 197 463
[ "2736330 2 1368165", "1368165 3 456055", "456055 5 91211", "91211 197 463", "463 463 1" ]
3242072
2 2 2 181 2239
[ "3242072 2 1621036", "1621036 2 810518", "810518 2 405259", "405259 181 2239", "2239 2239 1" ]
1668543
3 556181
[ "1668543 3 556181", "556181 556181 1" ]
212925
3 5 5 17 167
[ "212925 3 70975", "70975 5 14195", "14195 5 2839", "2839 17 167", "167 167 1" ]
2486178
2 3 3 37 3733
[ "2486178 2 1243089", "1243089 3 414363", "414363 3 138121", "138121 37 3733", "3733 3733 1" ]
21992
2 2 2 2749
[ "21992 2 10996", "10996 2 5498", "5498 2 2749", "2749 2749 1" ]
2038932
2 2 3 3 3 3 7 29 31
[ "2038932 2 1019466", "1019466 2 509733", "509733 3 169911", "169911 3 56637", "56637 3 18879", "18879 3 6293", "6293 7 899", "899 29 31", "31 31 1" ]
395668
2 2 7 13 1087
[ "395668 2 197834", "197834 2 98917", "98917 7 14131", "14131 13 1087", "1087 1087 1" ]
2647976
2 2 2 330997
[ "2647976 2 1323988", "1323988 2 661994", "661994 2 330997", "330997 330997 1" ]
409596
2 2 3 11 29 107
[ "409596 2 204798", "204798 2 102399", "102399 3 34133", "34133 11 3103", "3103 29 107", "107 107 1" ]
2865606
2 3 29 43 383
[ "2865606 2 1432803", "1432803 3 477601", "477601 29 16469", "16469 43 383", "383 383 1" ]
669302
2 334651
[ "669302 2 334651", "334651 334651 1" ]
1581418
2 790709
[ "1581418 2 790709", "790709 790709 1" ]
974333
71 13723
[ "974333 71 13723", "13723 13723 1" ]
2334172
2 2 583543
[ "2334172 2 1167086", "1167086 2 583543", "583543 583543 1" ]
2771846
2 7 11 41 439
[ "2771846 2 1385923", "1385923 7 197989", "197989 11 17999", "17999 41 439", "439 439 1" ]
629870
2 5 62987
[ "629870 2 314935", "314935 5 62987", "62987 62987 1" ]
3718969
47 67 1181
[ "3718969 47 79127", "79127 67 1181", "1181 1181 1" ]
4574449
11 149 2791
[ "4574449 11 415859", "415859 149 2791", "2791 2791 1" ]
2181337
2181337
[ "2181337 2181337 1" ]
877329
3 3 43 2267
[ "877329 3 292443", "292443 3 97481", "97481 43 2267", "2267 2267 1" ]
2156383
2156383
[ "2156383 2156383 1" ]
4745400
2 2 2 3 5 5 11 719
[ "4745400 2 2372700", "2372700 2 1186350", "1186350 2 593175", "593175 3 197725", "197725 5 39545", "39545 5 7909", "7909 11 719", "719 719 1" ]
479812
2 2 119953
[ "479812 2 239906", "239906 2 119953", "119953 119953 1" ]
4201013
4201013
[ "4201013 4201013 1" ]
1415850
2 3 5 5 9439
[ "1415850 2 707925", "707925 3 235975", "235975 5 47195", "47195 5 9439", "9439 9439 1" ]
1231524
2 2 3 3 3 3 3 7 181
[ "1231524 2 615762", "615762 2 307881", "307881 3 102627", "102627 3 34209", "34209 3 11403", "11403 3 3801", "3801 3 1267", "1267 7 181", "181 181 1" ]
1338399
3 3 148711
[ "1338399 3 446133", "446133 3 148711", "148711 148711 1" ]
357622
2 163 1097
[ "357622 2 178811", "178811 163 1097", "1097 1097 1" ]
3939152
2 2 2 2 7 35171
[ "3939152 2 1969576", "1969576 2 984788", "984788 2 492394", "492394 2 246197", "246197 7 35171", "35171 35171 1" ]
1086468
2 2 3 37 2447
[ "1086468 2 543234", "543234 2 271617", "271617 3 90539", "90539 37 2447", "2447 2447 1" ]
1779070
2 5 177907
[ "1779070 2 889535", "889535 5 177907", "177907 177907 1" ]
3351361
13 257797
[ "3351361 13 257797", "257797 257797 1" ]
2379844
2 2 594961
[ "2379844 2 1189922", "1189922 2 594961", "594961 594961 1" ]
3688968
2 2 2 3 281 547
[ "3688968 2 1844484", "1844484 2 922242", "922242 2 461121", "461121 3 153707", "153707 281 547", "547 547 1" ]
4340357
7 620051
[ "4340357 7 620051", "620051 620051 1" ]
211167
3 3 3 3 3 11 79
[ "211167 3 70389", "70389 3 23463", "23463 3 7821", "7821 3 2607", "2607 3 869", "869 11 79", "79 79 1" ]
1705279
31 55009
[ "1705279 31 55009", "55009 55009 1" ]
198801
3 3 3 37 199
[ "198801 3 66267", "66267 3 22089", "22089 3 7363", "7363 37 199", "199 199 1" ]
1960908
2 2 3 163409
[ "1960908 2 980454", "980454 2 490227", "490227 3 163409", "163409 163409 1" ]
2185824
2 2 2 2 2 3 22769
[ "2185824 2 1092912", "1092912 2 546456", "546456 2 273228", "273228 2 136614", "136614 2 68307", "68307 3 22769", "22769 22769 1" ]
2997589
7 428227
[ "2997589 7 428227", "428227 428227 1" ]
720310
2 5 72031
[ "720310 2 360155", "360155 5 72031", "72031 72031 1" ]
4592608
2 2 2 2 2 143519
[ "4592608 2 2296304", "2296304 2 1148152", "1148152 2 574076", "574076 2 287038", "287038 2 143519", "143519 143519 1" ]
1758238
2 879119
[ "1758238 2 879119", "879119 879119 1" ]
4623242
2 13 41 4337
[ "4623242 2 2311621", "2311621 13 177817", "177817 41 4337", "4337 4337 1" ]
1992490
2 5 23 8663
[ "1992490 2 996245", "996245 5 199249", "199249 23 8663", "8663 8663 1" ]
2337251
7 7 47699
[ "2337251 7 333893", "333893 7 47699", "47699 47699 1" ]
2386302
2 3 463 859
[ "2386302 2 1193151", "1193151 3 397717", "397717 463 859", "859 859 1" ]
745298
2 41 61 149
[ "745298 2 372649", "372649 41 9089", "9089 61 149", "149 149 1" ]
506198
2 7 11 19 173
[ "506198 2 253099", "253099 7 36157", "36157 11 3287", "3287 19 173", "173 173 1" ]
2526472
2 2 2 13 17 1429
[ "2526472 2 1263236", "1263236 2 631618", "631618 2 315809", "315809 13 24293", "24293 17 1429", "1429 1429 1" ]
600890
2 5 60089
[ "600890 2 300445", "300445 5 60089", "60089 60089 1" ]
1739063
1739063
[ "1739063 1739063 1" ]
1840335
3 5 7 17 1031
[ "1840335 3 613445", "613445 5 122689", "122689 7 17527", "17527 17 1031", "1031 1031 1" ]
1039506
2 3 13 13327
[ "1039506 2 519753", "519753 3 173251", "173251 13 13327", "13327 13327 1" ]
799275
3 5 5 10657
[ "799275 3 266425", "266425 5 53285", "53285 5 10657", "10657 10657 1" ]
293854
2 11 19 19 37
[ "293854 2 146927", "146927 11 13357", "13357 19 703", "703 19 37", "37 37 1" ]
3846589
23 29 73 79
[ "3846589 23 167243", "167243 29 5767", "5767 73 79", "79 79 1" ]
2714759
23 118033
[ "2714759 23 118033", "118033 118033 1" ]
4739154
2 3 7 53 2129
[ "4739154 2 2369577", "2369577 3 789859", "789859 7 112837", "112837 53 2129", "2129 2129 1" ]