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
533522
2 11 24251
[ "533522 2 266761", "266761 11 24251", "24251 24251 1" ]
1940897
7 179 1549
[ "1940897 7 277271", "277271 179 1549", "1549 1549 1" ]
4037485
5 43 89 211
[ "4037485 5 807497", "807497 43 18779", "18779 89 211", "211 211 1" ]
1043254
2 359 1453
[ "1043254 2 521627", "521627 359 1453", "1453 1453 1" ]
4984331
11 67 6763
[ "4984331 11 453121", "453121 67 6763", "6763 6763 1" ]
1728926
2 239 3617
[ "1728926 2 864463", "864463 239 3617", "3617 3617 1" ]
1827015
3 5 349 349
[ "1827015 3 609005", "609005 5 121801", "121801 349 349", "349 349 1" ]
2130461
2130461
[ "2130461 2130461 1" ]
4400319
3 7 11 43 443
[ "4400319 3 1466773", "1466773 7 209539", "209539 11 19049", "19049 43 443", "443 443 1" ]
3343179
3 7 159199
[ "3343179 3 1114393", "1114393 7 159199", "159199 159199 1" ]
3907645
5 7 97 1151
[ "3907645 5 781529", "781529 7 111647", "111647 97 1151", "1151 1151 1" ]
1873626
2 3 23 13577
[ "1873626 2 936813", "936813 3 312271", "312271 23 13577", "13577 13577 1" ]
2678368
2 2 2 2 2 7 11 1087
[ "2678368 2 1339184", "1339184 2 669592", "669592 2 334796", "334796 2 167398", "167398 2 83699", "83699 7 11957", "11957 11 1087", "1087 1087 1" ]
3373936
2 2 2 2 433 487
[ "3373936 2 1686968", "1686968 2 843484", "843484 2 421742", "421742 2 210871", "210871 433 487", "487 487 1" ]
1750819
7 7 35731
[ "1750819 7 250117", "250117 7 35731", "35731 35731 1" ]
1927698
2 3 17 18899
[ "1927698 2 963849", "963849 3 321283", "321283 17 18899", "18899 18899 1" ]
4791401
19 421 599
[ "4791401 19 252179", "252179 421 599", "599 599 1" ]
2707858
2 47 28807
[ "2707858 2 1353929", "1353929 47 28807", "28807 28807 1" ]
3155373
3 3 13 149 181
[ "3155373 3 1051791", "1051791 3 350597", "350597 13 26969", "26969 149 181", "181 181 1" ]
3439182
2 3 573197
[ "3439182 2 1719591", "1719591 3 573197", "573197 573197 1" ]
308457
3 3 34273
[ "308457 3 102819", "102819 3 34273", "34273 34273 1" ]
196334
2 89 1103
[ "196334 2 98167", "98167 89 1103", "1103 1103 1" ]
4499815
5 17 167 317
[ "4499815 5 899963", "899963 17 52939", "52939 167 317", "317 317 1" ]
2894423
7 379 1091
[ "2894423 7 413489", "413489 379 1091", "1091 1091 1" ]
2810971
1163 2417
[ "2810971 1163 2417", "2417 2417 1" ]
2667792
2 2 2 2 3 55579
[ "2667792 2 1333896", "1333896 2 666948", "666948 2 333474", "333474 2 166737", "166737 3 55579", "55579 55579 1" ]
2674746
2 3 3 17 8741
[ "2674746 2 1337373", "1337373 3 445791", "445791 3 148597", "148597 17 8741", "8741 8741 1" ]
675815
5 7 19309
[ "675815 5 135163", "135163 7 19309", "19309 19309 1" ]
1684441
11 11 13921
[ "1684441 11 153131", "153131 11 13921", "13921 13921 1" ]
2630834
2 71 97 191
[ "2630834 2 1315417", "1315417 71 18527", "18527 97 191", "191 191 1" ]
1504644
2 2 3 125387
[ "1504644 2 752322", "752322 2 376161", "376161 3 125387", "125387 125387 1" ]
1123131
3 317 1181
[ "1123131 3 374377", "374377 317 1181", "1181 1181 1" ]
891533
257 3469
[ "891533 257 3469", "3469 3469 1" ]
2866431
3 955477
[ "2866431 3 955477", "955477 955477 1" ]
1984675
5 5 7 11 1031
[ "1984675 5 396935", "396935 5 79387", "79387 7 11341", "11341 11 1031", "1031 1031 1" ]
2869445
5 647 887
[ "2869445 5 573889", "573889 647 887", "887 887 1" ]
2179366
2 7 17 9157
[ "2179366 2 1089683", "1089683 7 155669", "155669 17 9157", "9157 9157 1" ]
2824716
2 2 3 29 8117
[ "2824716 2 1412358", "1412358 2 706179", "706179 3 235393", "235393 29 8117", "8117 8117 1" ]
4792531
41 41 2851
[ "4792531 41 116891", "116891 41 2851", "2851 2851 1" ]
2865665
5 11 52103
[ "2865665 5 573133", "573133 11 52103", "52103 52103 1" ]
1337089
13 163 631
[ "1337089 13 102853", "102853 163 631", "631 631 1" ]
3291263
43 76541
[ "3291263 43 76541", "76541 76541 1" ]
3647346
2 3 43 67 211
[ "3647346 2 1823673", "1823673 3 607891", "607891 43 14137", "14137 67 211", "211 211 1" ]
4557541
67 68023
[ "4557541 67 68023", "68023 68023 1" ]
828854
2 13 71 449
[ "828854 2 414427", "414427 13 31879", "31879 71 449", "449 449 1" ]
3666356
2 2 17 53917
[ "3666356 2 1833178", "1833178 2 916589", "916589 17 53917", "53917 53917 1" ]
3573117
3 3 397013
[ "3573117 3 1191039", "1191039 3 397013", "397013 397013 1" ]
1080301
1080301
[ "1080301 1080301 1" ]
1140171
3 19 83 241
[ "1140171 3 380057", "380057 19 20003", "20003 83 241", "241 241 1" ]
1584994
2 277 2861
[ "1584994 2 792497", "792497 277 2861", "2861 2861 1" ]
2119365
3 3 3 3 5 5233
[ "2119365 3 706455", "706455 3 235485", "235485 3 78495", "78495 3 26165", "26165 5 5233", "5233 5233 1" ]
1520950
2 5 5 19 1601
[ "1520950 2 760475", "760475 5 152095", "152095 5 30419", "30419 19 1601", "1601 1601 1" ]
1973281
1973281
[ "1973281 1973281 1" ]
3067945
5 269 2281
[ "3067945 5 613589", "613589 269 2281", "2281 2281 1" ]
3290178
2 3 548363
[ "3290178 2 1645089", "1645089 3 548363", "548363 548363 1" ]
2369098
2 1184549
[ "2369098 2 1184549", "1184549 1184549 1" ]
4287997
7 397 1543
[ "4287997 7 612571", "612571 397 1543", "1543 1543 1" ]
4363288
2 2 2 17 32083
[ "4363288 2 2181644", "2181644 2 1090822", "1090822 2 545411", "545411 17 32083", "32083 32083 1" ]
4603195
5 929 991
[ "4603195 5 920639", "920639 929 991", "991 991 1" ]
1076005
5 7 71 433
[ "1076005 5 215201", "215201 7 30743", "30743 71 433", "433 433 1" ]
757909
757909
[ "757909 757909 1" ]
4842284
2 2 131 9241
[ "4842284 2 2421142", "2421142 2 1210571", "1210571 131 9241", "9241 9241 1" ]
4616013
3 283 5437
[ "4616013 3 1538671", "1538671 283 5437", "5437 5437 1" ]
1630700
2 2 5 5 23 709
[ "1630700 2 815350", "815350 2 407675", "407675 5 81535", "81535 5 16307", "16307 23 709", "709 709 1" ]
739526
2 137 2699
[ "739526 2 369763", "369763 137 2699", "2699 2699 1" ]
531032
2 2 2 41 1619
[ "531032 2 265516", "265516 2 132758", "132758 2 66379", "66379 41 1619", "1619 1619 1" ]
27055
5 7 773
[ "27055 5 5411", "5411 7 773", "773 773 1" ]
1181129
79 14951
[ "1181129 79 14951", "14951 14951 1" ]
966833
7 59 2341
[ "966833 7 138119", "138119 59 2341", "2341 2341 1" ]
1008933
3 17 73 271
[ "1008933 3 336311", "336311 17 19783", "19783 73 271", "271 271 1" ]
2226459
3 742153
[ "2226459 3 742153", "742153 742153 1" ]
1538691
3 7 11 6661
[ "1538691 3 512897", "512897 7 73271", "73271 11 6661", "6661 6661 1" ]
477012
2 2 3 127 313
[ "477012 2 238506", "238506 2 119253", "119253 3 39751", "39751 127 313", "313 313 1" ]
3389469
3 71 15913
[ "3389469 3 1129823", "1129823 71 15913", "15913 15913 1" ]
1954726
2 977363
[ "1954726 2 977363", "977363 977363 1" ]
3471144
2 2 2 3 61 2371
[ "3471144 2 1735572", "1735572 2 867786", "867786 2 433893", "433893 3 144631", "144631 61 2371", "2371 2371 1" ]
4872584
2 2 2 47 12959
[ "4872584 2 2436292", "2436292 2 1218146", "1218146 2 609073", "609073 47 12959", "12959 12959 1" ]
4040071
7 577153
[ "4040071 7 577153", "577153 577153 1" ]
4371821
541 8081
[ "4371821 541 8081", "8081 8081 1" ]
2749001
1321 2081
[ "2749001 1321 2081", "2081 2081 1" ]
693081
3 3 53 1453
[ "693081 3 231027", "231027 3 77009", "77009 53 1453", "1453 1453 1" ]
1784028
2 2 3 148669
[ "1784028 2 892014", "892014 2 446007", "446007 3 148669", "148669 148669 1" ]
1848325
5 5 17 4349
[ "1848325 5 369665", "369665 5 73933", "73933 17 4349", "4349 4349 1" ]
3113539
11 13 21773
[ "3113539 11 283049", "283049 13 21773", "21773 21773 1" ]
2485367
2485367
[ "2485367 2485367 1" ]
2869360
2 2 2 2 5 13 31 89
[ "2869360 2 1434680", "1434680 2 717340", "717340 2 358670", "358670 2 179335", "179335 5 35867", "35867 13 2759", "2759 31 89", "89 89 1" ]
2348573
2348573
[ "2348573 2348573 1" ]
4009829
757 5297
[ "4009829 757 5297", "5297 5297 1" ]
1553291
1553291
[ "1553291 1553291 1" ]
2842354
2 241 5897
[ "2842354 2 1421177", "1421177 241 5897", "5897 5897 1" ]
1365147
3 3 3 7 31 233
[ "1365147 3 455049", "455049 3 151683", "151683 3 50561", "50561 7 7223", "7223 31 233", "233 233 1" ]
3167446
2 83 19081
[ "3167446 2 1583723", "1583723 83 19081", "19081 19081 1" ]
3717025
5 5 13 11437
[ "3717025 5 743405", "743405 5 148681", "148681 13 11437", "11437 11437 1" ]
581677
37 79 199
[ "581677 37 15721", "15721 79 199", "199 199 1" ]
3759841
241 15601
[ "3759841 241 15601", "15601 15601 1" ]
2916935
5 7 83341
[ "2916935 5 583387", "583387 7 83341", "83341 83341 1" ]
4185007
4185007
[ "4185007 4185007 1" ]
1212939
3 3 7 13 1481
[ "1212939 3 404313", "404313 3 134771", "134771 7 19253", "19253 13 1481", "1481 1481 1" ]
561847
11 13 3929
[ "561847 11 51077", "51077 13 3929", "3929 3929 1" ]
3149525
5 5 53 2377
[ "3149525 5 629905", "629905 5 125981", "125981 53 2377", "2377 2377 1" ]