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
737516
2 2 13 13 1091
[ "737516 2 368758", "368758 2 184379", "184379 13 14183", "14183 13 1091", "1091 1091 1" ]
3666627
3 3 3 3 3 79 191
[ "3666627 3 1222209", "1222209 3 407403", "407403 3 135801", "135801 3 45267", "45267 3 15089", "15089 79 191", "191 191 1" ]
3032558
2 1516279
[ "3032558 2 1516279", "1516279 1516279 1" ]
1951224
2 2 2 3 11 19 389
[ "1951224 2 975612", "975612 2 487806", "487806 2 243903", "243903 3 81301", "81301 11 7391", "7391 19 389", "389 389 1" ]
1231456
2 2 2 2 2 29 1327
[ "1231456 2 615728", "615728 2 307864", "307864 2 153932", "153932 2 76966", "76966 2 38483", "38483 29 1327", "1327 1327 1" ]
2609535
3 5 173969
[ "2609535 3 869845", "869845 5 173969", "173969 173969 1" ]
1768678
2 887 997
[ "1768678 2 884339", "884339 887 997", "997 997 1" ]
535178
2 7 7 43 127
[ "535178 2 267589", "267589 7 38227", "38227 7 5461", "5461 43 127", "127 127 1" ]
4381968
2 2 2 2 3 91291
[ "4381968 2 2190984", "2190984 2 1095492", "1095492 2 547746", "547746 2 273873", "273873 3 91291", "91291 91291 1" ]
1928875
5 5 5 13 1187
[ "1928875 5 385775", "385775 5 77155", "77155 5 15431", "15431 13 1187", "1187 1187 1" ]
4632161
4632161
[ "4632161 4632161 1" ]
982321
982321
[ "982321 982321 1" ]
4357238
2 2178619
[ "4357238 2 2178619", "2178619 2178619 1" ]
3688330
2 5 368833
[ "3688330 2 1844165", "1844165 5 368833", "368833 368833 1" ]
1510247
67 22541
[ "1510247 67 22541", "22541 22541 1" ]
3612399
3 7 31 31 179
[ "3612399 3 1204133", "1204133 7 172019", "172019 31 5549", "5549 31 179", "179 179 1" ]
2327339
7 332477
[ "2327339 7 332477", "332477 332477 1" ]
3278345
5 7 7 13381
[ "3278345 5 655669", "655669 7 93667", "93667 7 13381", "13381 13381 1" ]
3159564
2 2 3 281 937
[ "3159564 2 1579782", "1579782 2 789891", "789891 3 263297", "263297 281 937", "937 937 1" ]
1147725
3 3 5 5 5101
[ "1147725 3 382575", "382575 3 127525", "127525 5 25505", "25505 5 5101", "5101 5101 1" ]
633262
2 7 45233
[ "633262 2 316631", "316631 7 45233", "45233 45233 1" ]
915734
2 53 53 163
[ "915734 2 457867", "457867 53 8639", "8639 53 163", "163 163 1" ]
1350078
2 3 83 2711
[ "1350078 2 675039", "675039 3 225013", "225013 83 2711", "2711 2711 1" ]
4027346
2 23 29 3019
[ "4027346 2 2013673", "2013673 23 87551", "87551 29 3019", "3019 3019 1" ]
2150626
2 47 137 167
[ "2150626 2 1075313", "1075313 47 22879", "22879 137 167", "167 167 1" ]
3080946
2 3 11 46681
[ "3080946 2 1540473", "1540473 3 513491", "513491 11 46681", "46681 46681 1" ]
3158497
31 139 733
[ "3158497 31 101887", "101887 139 733", "733 733 1" ]
4539994
2 521 4357
[ "4539994 2 2269997", "2269997 521 4357", "4357 4357 1" ]
3294532
2 2 17 48449
[ "3294532 2 1647266", "1647266 2 823633", "823633 17 48449", "48449 48449 1" ]
1306990
2 5 130699
[ "1306990 2 653495", "653495 5 130699", "130699 130699 1" ]
2385878
2 11 11 9859
[ "2385878 2 1192939", "1192939 11 108449", "108449 11 9859", "9859 9859 1" ]
1173566
2 37 15859
[ "1173566 2 586783", "586783 37 15859", "15859 15859 1" ]
4861800
2 2 2 3 3 5 5 37 73
[ "4861800 2 2430900", "2430900 2 1215450", "1215450 2 607725", "607725 3 202575", "202575 3 67525", "67525 5 13505", "13505 5 2701", "2701 37 73", "73 73 1" ]
1529527
53 28859
[ "1529527 53 28859", "28859 28859 1" ]
185431
107 1733
[ "185431 107 1733", "1733 1733 1" ]
4985278
2 1303 1913
[ "4985278 2 2492639", "2492639 1303 1913", "1913 1913 1" ]
4975601
83 151 397
[ "4975601 83 59947", "59947 151 397", "397 397 1" ]
3021668
2 2 13 58109
[ "3021668 2 1510834", "1510834 2 755417", "755417 13 58109", "58109 58109 1" ]
450403
450403
[ "450403 450403 1" ]
4212899
587 7177
[ "4212899 587 7177", "7177 7177 1" ]
1287244
2 2 7 31 1483
[ "1287244 2 643622", "643622 2 321811", "321811 7 45973", "45973 31 1483", "1483 1483 1" ]
3395387
317 10711
[ "3395387 317 10711", "10711 10711 1" ]
3548934
2 3 3 3 3 19 1153
[ "3548934 2 1774467", "1774467 3 591489", "591489 3 197163", "197163 3 65721", "65721 3 21907", "21907 19 1153", "1153 1153 1" ]
4917833
83 193 307
[ "4917833 83 59251", "59251 193 307", "307 307 1" ]
2400970
2 5 11 13 23 73
[ "2400970 2 1200485", "1200485 5 240097", "240097 11 21827", "21827 13 1679", "1679 23 73", "73 73 1" ]
1972891
1972891
[ "1972891 1972891 1" ]
3257310
2 3 5 7 15511
[ "3257310 2 1628655", "1628655 3 542885", "542885 5 108577", "108577 7 15511", "15511 15511 1" ]
781472
2 2 2 2 2 24421
[ "781472 2 390736", "390736 2 195368", "195368 2 97684", "97684 2 48842", "48842 2 24421", "24421 24421 1" ]
1319336
2 2 2 17 89 109
[ "1319336 2 659668", "659668 2 329834", "329834 2 164917", "164917 17 9701", "9701 89 109", "109 109 1" ]
936750
2 3 5 5 5 1249
[ "936750 2 468375", "468375 3 156125", "156125 5 31225", "31225 5 6245", "6245 5 1249", "1249 1249 1" ]
1311641
29 31 1459
[ "1311641 29 45229", "45229 31 1459", "1459 1459 1" ]
895876
2 2 223969
[ "895876 2 447938", "447938 2 223969", "223969 223969 1" ]
3079934
2 11 11 11 13 89
[ "3079934 2 1539967", "1539967 11 139997", "139997 11 12727", "12727 11 1157", "1157 13 89", "89 89 1" ]
4318708
2 2 383 2819
[ "4318708 2 2159354", "2159354 2 1079677", "1079677 383 2819", "2819 2819 1" ]
4963552
2 2 2 2 2 11 59 239
[ "4963552 2 2481776", "2481776 2 1240888", "1240888 2 620444", "620444 2 310222", "310222 2 155111", "155111 11 14101", "14101 59 239", "239 239 1" ]
2080305
3 3 5 46229
[ "2080305 3 693435", "693435 3 231145", "231145 5 46229", "46229 46229 1" ]
3075989
7 439427
[ "3075989 7 439427", "439427 439427 1" ]
4112909
709 5801
[ "4112909 709 5801", "5801 5801 1" ]
18594
2 3 3 1033
[ "18594 2 9297", "9297 3 3099", "3099 3 1033", "1033 1033 1" ]
4792122
2 3 3 3 3 29581
[ "4792122 2 2396061", "2396061 3 798687", "798687 3 266229", "266229 3 88743", "88743 3 29581", "29581 29581 1" ]
1755
3 3 3 5 13
[ "1755 3 585", "585 3 195", "195 3 65", "65 5 13", "13 13 1" ]
4646111
4646111
[ "4646111 4646111 1" ]
2255037
3 241 3119
[ "2255037 3 751679", "751679 241 3119", "3119 3119 1" ]
3116115
3 3 5 69247
[ "3116115 3 1038705", "1038705 3 346235", "346235 5 69247", "69247 69247 1" ]
2237265
3 3 5 83 599
[ "2237265 3 745755", "745755 3 248585", "248585 5 49717", "49717 83 599", "599 599 1" ]
62151
3 20717
[ "62151 3 20717", "20717 20717 1" ]
4615638
2 3 769273
[ "4615638 2 2307819", "2307819 3 769273", "769273 769273 1" ]
1658034
2 3 3 7 13159
[ "1658034 2 829017", "829017 3 276339", "276339 3 92113", "92113 7 13159", "13159 13159 1" ]
3032665
5 23 26371
[ "3032665 5 606533", "606533 23 26371", "26371 26371 1" ]
418792
2 2 2 11 4759
[ "418792 2 209396", "209396 2 104698", "104698 2 52349", "52349 11 4759", "4759 4759 1" ]
416885
5 7 43 277
[ "416885 5 83377", "83377 7 11911", "11911 43 277", "277 277 1" ]
3888603
3 3 432067
[ "3888603 3 1296201", "1296201 3 432067", "432067 432067 1" ]
1581538
2 7 112967
[ "1581538 2 790769", "790769 7 112967", "112967 112967 1" ]
4105430
2 5 7 223 263
[ "4105430 2 2052715", "2052715 5 410543", "410543 7 58649", "58649 223 263", "263 263 1" ]
1217087
331 3677
[ "1217087 331 3677", "3677 3677 1" ]
1760543
283 6221
[ "1760543 283 6221", "6221 6221 1" ]
4904980
2 2 5 23 10663
[ "4904980 2 2452490", "2452490 2 1226245", "1226245 5 245249", "245249 23 10663", "10663 10663 1" ]
4491046
2 7 7 45827
[ "4491046 2 2245523", "2245523 7 320789", "320789 7 45827", "45827 45827 1" ]
2613214
2 23 56809
[ "2613214 2 1306607", "1306607 23 56809", "56809 56809 1" ]
1356413
17 73 1093
[ "1356413 17 79789", "79789 73 1093", "1093 1093 1" ]
1350484
2 2 31 10891
[ "1350484 2 675242", "675242 2 337621", "337621 31 10891", "10891 10891 1" ]
2908987
229 12703
[ "2908987 229 12703", "12703 12703 1" ]
3725635
5 17 53 827
[ "3725635 5 745127", "745127 17 43831", "43831 53 827", "827 827 1" ]
1969714
2 757 1301
[ "1969714 2 984857", "984857 757 1301", "1301 1301 1" ]
4487433
3 149 10039
[ "4487433 3 1495811", "1495811 149 10039", "10039 10039 1" ]
1671673
53 31541
[ "1671673 53 31541", "31541 31541 1" ]
2617209
3 3 7 41543
[ "2617209 3 872403", "872403 3 290801", "290801 7 41543", "41543 41543 1" ]
4431456
2 2 2 2 2 3 3 3 23 223
[ "4431456 2 2215728", "2215728 2 1107864", "1107864 2 553932", "553932 2 276966", "276966 2 138483", "138483 3 46161", "46161 3 15387", "15387 3 5129", "5129 23 223", "223 223 1" ]
1209926
2 701 863
[ "1209926 2 604963", "604963 701 863", "863 863 1" ]
130954
2 41 1597
[ "130954 2 65477", "65477 41 1597", "1597 1597 1" ]
1520096
2 2 2 2 2 67 709
[ "1520096 2 760048", "760048 2 380024", "380024 2 190012", "190012 2 95006", "95006 2 47503", "47503 67 709", "709 709 1" ]
2657133
3 3 295237
[ "2657133 3 885711", "885711 3 295237", "295237 295237 1" ]
2294229
3 7 7 15607
[ "2294229 3 764743", "764743 7 109249", "109249 7 15607", "15607 15607 1" ]
4565569
23 198503
[ "4565569 23 198503", "198503 198503 1" ]
4241047
19 29 43 179
[ "4241047 19 223213", "223213 29 7697", "7697 43 179", "179 179 1" ]
3954075
3 5 5 52721
[ "3954075 3 1318025", "1318025 5 263605", "263605 5 52721", "52721 52721 1" ]
839832
2 2 2 3 7 4999
[ "839832 2 419916", "419916 2 209958", "209958 2 104979", "104979 3 34993", "34993 7 4999", "4999 4999 1" ]
1513513
31 48823
[ "1513513 31 48823", "48823 48823 1" ]
4438854
2 3 3 3 7 11743
[ "4438854 2 2219427", "2219427 3 739809", "739809 3 246603", "246603 3 82201", "82201 7 11743", "11743 11743 1" ]
632049
3 11 107 179
[ "632049 3 210683", "210683 11 19153", "19153 107 179", "179 179 1" ]