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
4600958
2 31 74209
[ "4600958 2 2300479", "2300479 31 74209", "74209 74209 1" ]
1275941
71 17971
[ "1275941 71 17971", "17971 17971 1" ]
4634031
3 197 7841
[ "4634031 3 1544677", "1544677 197 7841", "7841 7841 1" ]
1647375
3 5 5 5 23 191
[ "1647375 3 549125", "549125 5 109825", "109825 5 21965", "21965 5 4393", "4393 23 191", "191 191 1" ]
1653085
5 7 73 647
[ "1653085 5 330617", "330617 7 47231", "47231 73 647", "647 647 1" ]
2872466
2 347 4139
[ "2872466 2 1436233", "1436233 347 4139", "4139 4139 1" ]
1276500
2 2 3 5 5 5 23 37
[ "1276500 2 638250", "638250 2 319125", "319125 3 106375", "106375 5 21275", "21275 5 4255", "4255 5 851", "851 23 37", "37 37 1" ]
4334152
2 2 2 47 11527
[ "4334152 2 2167076", "2167076 2 1083538", "1083538 2 541769", "541769 47 11527", "11527 11527 1" ]
2143295
5 7 11 19 293
[ "2143295 5 428659", "428659 7 61237", "61237 11 5567", "5567 19 293", "293 293 1" ]
2751244
2 2 797 863
[ "2751244 2 1375622", "1375622 2 687811", "687811 797 863", "863 863 1" ]
2544307
2544307
[ "2544307 2544307 1" ]
978464
2 2 2 2 2 30577
[ "978464 2 489232", "489232 2 244616", "244616 2 122308", "122308 2 61154", "61154 2 30577", "30577 30577 1" ]
468185
5 93637
[ "468185 5 93637", "93637 93637 1" ]
4640323
2029 2287
[ "4640323 2029 2287", "2287 2287 1" ]
2872509
3 367 2609
[ "2872509 3 957503", "957503 367 2609", "2609 2609 1" ]
3376316
2 2 457 1847
[ "3376316 2 1688158", "1688158 2 844079", "844079 457 1847", "1847 1847 1" ]
2374875
3 3 5 5 5 2111
[ "2374875 3 791625", "791625 3 263875", "263875 5 52775", "52775 5 10555", "10555 5 2111", "2111 2111 1" ]
1329292
2 2 439 757
[ "1329292 2 664646", "664646 2 332323", "332323 439 757", "757 757 1" ]
4781055
3 5 318737
[ "4781055 3 1593685", "1593685 5 318737", "318737 318737 1" ]
2886664
2 2 2 11 32803
[ "2886664 2 1443332", "1443332 2 721666", "721666 2 360833", "360833 11 32803", "32803 32803 1" ]
4891546
2 11 11 17 29 41
[ "4891546 2 2445773", "2445773 11 222343", "222343 11 20213", "20213 17 1189", "1189 29 41", "41 41 1" ]
4000570
2 5 7 67 853
[ "4000570 2 2000285", "2000285 5 400057", "400057 7 57151", "57151 67 853", "853 853 1" ]
2196466
2 1098233
[ "2196466 2 1098233", "1098233 1098233 1" ]
788026
2 23 37 463
[ "788026 2 394013", "394013 23 17131", "17131 37 463", "463 463 1" ]
1803854
2 13 69379
[ "1803854 2 901927", "901927 13 69379", "69379 69379 1" ]
297227
7 42461
[ "297227 7 42461", "42461 42461 1" ]
1862098
2 7 7 19001
[ "1862098 2 931049", "931049 7 133007", "133007 7 19001", "19001 19001 1" ]
2530221
3 29 127 229
[ "2530221 3 843407", "843407 29 29083", "29083 127 229", "229 229 1" ]
1906970
2 5 13 14669
[ "1906970 2 953485", "953485 5 190697", "190697 13 14669", "14669 14669 1" ]
3698836
2 2 924709
[ "3698836 2 1849418", "1849418 2 924709", "924709 924709 1" ]
1414137
3 317 1487
[ "1414137 3 471379", "471379 317 1487", "1487 1487 1" ]
4918144
2 2 2 2 2 2 2 7 11 499
[ "4918144 2 2459072", "2459072 2 1229536", "1229536 2 614768", "614768 2 307384", "307384 2 153692", "153692 2 76846", "76846 2 38423", "38423 7 5489", "5489 11 499", "499 499 1" ]
1955735
5 599 653
[ "1955735 5 391147", "391147 599 653", "653 653 1" ]
4349900
2 2 5 5 43499
[ "4349900 2 2174950", "2174950 2 1087475", "1087475 5 217495", "217495 5 43499", "43499 43499 1" ]
1175702
2 11 53441
[ "1175702 2 587851", "587851 11 53441", "53441 53441 1" ]
1437896
2 2 2 179737
[ "1437896 2 718948", "718948 2 359474", "359474 2 179737", "179737 179737 1" ]
4876378
2 13 37 37 137
[ "4876378 2 2438189", "2438189 13 187553", "187553 37 5069", "5069 37 137", "137 137 1" ]
2859244
2 2 53 13487
[ "2859244 2 1429622", "1429622 2 714811", "714811 53 13487", "13487 13487 1" ]
184088
2 2 2 23011
[ "184088 2 92044", "92044 2 46022", "46022 2 23011", "23011 23011 1" ]
4355299
13 13 25771
[ "4355299 13 335023", "335023 13 25771", "25771 25771 1" ]
4714558
2 2357279
[ "4714558 2 2357279", "2357279 2357279 1" ]
3229973
3229973
[ "3229973 3229973 1" ]
1535027
13 13 31 293
[ "1535027 13 118079", "118079 13 9083", "9083 31 293", "293 293 1" ]
2361542
2 1180771
[ "2361542 2 1180771", "1180771 1180771 1" ]
4524584
2 2 2 17 17 19 103
[ "4524584 2 2262292", "2262292 2 1131146", "1131146 2 565573", "565573 17 33269", "33269 17 1957", "1957 19 103", "103 103 1" ]
2295526
2 521 2203
[ "2295526 2 1147763", "1147763 521 2203", "2203 2203 1" ]
1458239
1458239
[ "1458239 1458239 1" ]
3889619
421 9239
[ "3889619 421 9239", "9239 9239 1" ]
1934090
2 5 17 31 367
[ "1934090 2 967045", "967045 5 193409", "193409 17 11377", "11377 31 367", "367 367 1" ]
3891637
19 239 857
[ "3891637 19 204823", "204823 239 857", "857 857 1" ]
3219531
3 7 19 8069
[ "3219531 3 1073177", "1073177 7 153311", "153311 19 8069", "8069 8069 1" ]
413612
2 2 53 1951
[ "413612 2 206806", "206806 2 103403", "103403 53 1951", "1951 1951 1" ]
2363760
2 2 2 2 3 3 5 7 7 67
[ "2363760 2 1181880", "1181880 2 590940", "590940 2 295470", "295470 2 147735", "147735 3 49245", "49245 3 16415", "16415 5 3283", "3283 7 469", "469 7 67", "67 67 1" ]
1968678
2 3 3 3 36457
[ "1968678 2 984339", "984339 3 328113", "328113 3 109371", "109371 3 36457", "36457 36457 1" ]
1449826
2 7 29 3571
[ "1449826 2 724913", "724913 7 103559", "103559 29 3571", "3571 3571 1" ]
2827795
5 565559
[ "2827795 5 565559", "565559 565559 1" ]
1821430
2 5 13 14011
[ "1821430 2 910715", "910715 5 182143", "182143 13 14011", "14011 14011 1" ]
3156203
17 31 53 113
[ "3156203 17 185659", "185659 31 5989", "5989 53 113", "113 113 1" ]
326767
7 46681
[ "326767 7 46681", "46681 46681 1" ]
4613165
5 131 7043
[ "4613165 5 922633", "922633 131 7043", "7043 7043 1" ]
1666445
5 11 41 739
[ "1666445 5 333289", "333289 11 30299", "30299 41 739", "739 739 1" ]
2034948
2 2 3 23 73 101
[ "2034948 2 1017474", "1017474 2 508737", "508737 3 169579", "169579 23 7373", "7373 73 101", "101 101 1" ]
410979
3 136993
[ "410979 3 136993", "136993 136993 1" ]
2833597
13 217969
[ "2833597 13 217969", "217969 217969 1" ]
3761396
2 2 940349
[ "3761396 2 1880698", "1880698 2 940349", "940349 940349 1" ]
2395672
2 2 2 19 15761
[ "2395672 2 1197836", "1197836 2 598918", "598918 2 299459", "299459 19 15761", "15761 15761 1" ]
3508956
2 2 3 3 11 8861
[ "3508956 2 1754478", "1754478 2 877239", "877239 3 292413", "292413 3 97471", "97471 11 8861", "8861 8861 1" ]
3372630
2 3 5 17 17 389
[ "3372630 2 1686315", "1686315 3 562105", "562105 5 112421", "112421 17 6613", "6613 17 389", "389 389 1" ]
2071661
2071661
[ "2071661 2071661 1" ]
3173518
2 1231 1289
[ "3173518 2 1586759", "1586759 1231 1289", "1289 1289 1" ]
3980325
3 5 5 73 727
[ "3980325 3 1326775", "1326775 5 265355", "265355 5 53071", "53071 73 727", "727 727 1" ]
4334192
2 2 2 2 41 6607
[ "4334192 2 2167096", "2167096 2 1083548", "1083548 2 541774", "541774 2 270887", "270887 41 6607", "6607 6607 1" ]
3771621
3 3 7 131 457
[ "3771621 3 1257207", "1257207 3 419069", "419069 7 59867", "59867 131 457", "457 457 1" ]
2679707
23 263 443
[ "2679707 23 116509", "116509 263 443", "443 443 1" ]
3086641
3086641
[ "3086641 3086641 1" ]
611563
283 2161
[ "611563 283 2161", "2161 2161 1" ]
4832747
4832747
[ "4832747 4832747 1" ]
1122497
317 3541
[ "1122497 317 3541", "3541 3541 1" ]
2637785
5 527557
[ "2637785 5 527557", "527557 527557 1" ]
4708499
607 7757
[ "4708499 607 7757", "7757 7757 1" ]
4487182
2 7 320513
[ "4487182 2 2243591", "2243591 7 320513", "320513 320513 1" ]
3500390
2 5 350039
[ "3500390 2 1750195", "1750195 5 350039", "350039 350039 1" ]
3828484
2 2 11 87011
[ "3828484 2 1914242", "1914242 2 957121", "957121 11 87011", "87011 87011 1" ]
4684302
2 3 3 7 7 47 113
[ "4684302 2 2342151", "2342151 3 780717", "780717 3 260239", "260239 7 37177", "37177 7 5311", "5311 47 113", "113 113 1" ]
3587038
2 7 13 19709
[ "3587038 2 1793519", "1793519 7 256217", "256217 13 19709", "19709 19709 1" ]
1473530
2 5 147353
[ "1473530 2 736765", "736765 5 147353", "147353 147353 1" ]
4001412
2 2 3 333451
[ "4001412 2 2000706", "2000706 2 1000353", "1000353 3 333451", "333451 333451 1" ]
2392891
2392891
[ "2392891 2392891 1" ]
3627176
2 2 2 7 7 19 487
[ "3627176 2 1813588", "1813588 2 906794", "906794 2 453397", "453397 7 64771", "64771 7 9253", "9253 19 487", "487 487 1" ]
2669217
3 37 139 173
[ "2669217 3 889739", "889739 37 24047", "24047 139 173", "173 173 1" ]
4599191
31 148361
[ "4599191 31 148361", "148361 148361 1" ]
222451
47 4733
[ "222451 47 4733", "4733 4733 1" ]
2145940
2 2 5 41 2617
[ "2145940 2 1072970", "1072970 2 536485", "536485 5 107297", "107297 41 2617", "2617 2617 1" ]
4640097
3 7 11 53 379
[ "4640097 3 1546699", "1546699 7 220957", "220957 11 20087", "20087 53 379", "379 379 1" ]
3775771
29 130199
[ "3775771 29 130199", "130199 130199 1" ]
2554900
2 2 5 5 29 881
[ "2554900 2 1277450", "1277450 2 638725", "638725 5 127745", "127745 5 25549", "25549 29 881", "881 881 1" ]
570825
3 3 5 5 43 59
[ "570825 3 190275", "190275 3 63425", "63425 5 12685", "12685 5 2537", "2537 43 59", "59 59 1" ]
3460458
2 3 576743
[ "3460458 2 1730229", "1730229 3 576743", "576743 576743 1" ]
1281781
1281781
[ "1281781 1281781 1" ]
26115
3 5 1741
[ "26115 3 8705", "8705 5 1741", "1741 1741 1" ]