yimingzhang/prime-factorization · Datasets at Hugging Face

input stringlengths 3 7	output stringlengths 3 41	step_by_step_solution listlengths 1 21
57391	29 1979	[ "57391 29 1979", "1979 1979 1" ]
4585799	29 31 5101	[ "4585799 29 158131", "158131 31 5101", "5101 5101 1" ]
1810365	3 5 120691	[ "1810365 3 603455", "603455 5 120691", "120691 120691 1" ]
4981428	2 2 3 3 138373	[ "4981428 2 2490714", "2490714 2 1245357", "1245357 3 415119", "415119 3 138373", "138373 138373 1" ]
1036479	3 439 787	[ "1036479 3 345493", "345493 439 787", "787 787 1" ]
4599434	2 7 7 46933	[ "4599434 2 2299717", "2299717 7 328531", "328531 7 46933", "46933 46933 1" ]
13985	5 2797	[ "13985 5 2797", "2797 2797 1" ]
365298	2 3 107 569	[ "365298 2 182649", "182649 3 60883", "60883 107 569", "569 569 1" ]
124371	3 3 13 1063	[ "124371 3 41457", "41457 3 13819", "13819 13 1063", "1063 1063 1" ]
4301597	41 104917	[ "4301597 41 104917", "104917 104917 1" ]
2375005	5 433 1097	[ "2375005 5 475001", "475001 433 1097", "1097 1097 1" ]
4854105	3 3 5 269 401	[ "4854105 3 1618035", "1618035 3 539345", "539345 5 107869", "107869 269 401", "401 401 1" ]
2487615	3 5 13 12757	[ "2487615 3 829205", "829205 5 165841", "165841 13 12757", "12757 12757 1" ]
1979023	61 32443	[ "1979023 61 32443", "32443 32443 1" ]
3509551	29 121019	[ "3509551 29 121019", "121019 121019 1" ]
815407	383 2129	[ "815407 383 2129", "2129 2129 1" ]
3750045	3 5 13 19231	[ "3750045 3 1250015", "1250015 5 250003", "250003 13 19231", "19231 19231 1" ]
1100640	2 2 2 2 2 3 5 2293	[ "1100640 2 550320", "550320 2 275160", "275160 2 137580", "137580 2 68790", "68790 2 34395", "34395 3 11465", "11465 5 2293", "2293 2293 1" ]
3064283	59 167 311	[ "3064283 59 51937", "51937 167 311", "311 311 1" ]
895827	3 23 12983	[ "895827 3 298609", "298609 23 12983", "12983 12983 1" ]
735619	163 4513	[ "735619 163 4513", "4513 4513 1" ]
3085009	3085009	[ "3085009 3085009 1" ]
1444237	1444237	[ "1444237 1444237 1" ]
2867323	653 4391	[ "2867323 653 4391", "4391 4391 1" ]
2181168	2 2 2 2 3 3 3 3 3 3 11 17	[ "2181168 2 1090584", "1090584 2 545292", "545292 2 272646", "272646 2 136323", "136323 3 45441", "45441 3 15147", "15147 3 5049", "5049 3 1683", "1683 3 561", "561 3 187", "187 11 17", "17 17 1" ]
1255788	2 2 3 3 34883	[ "1255788 2 627894", "627894 2 313947", "313947 3 104649", "104649 3 34883", "34883 34883 1" ]
2874618	2 3 3 159701	[ "2874618 2 1437309", "1437309 3 479103", "479103 3 159701", "159701 159701 1" ]
1122345	3 3 5 7 7 509	[ "1122345 3 374115", "374115 3 124705", "124705 5 24941", "24941 7 3563", "3563 7 509", "509 509 1" ]
1065100	2 2 5 5 10651	[ "1065100 2 532550", "532550 2 266275", "266275 5 53255", "53255 5 10651", "10651 10651 1" ]
639606	2 3 11 11 881	[ "639606 2 319803", "319803 3 106601", "106601 11 9691", "9691 11 881", "881 881 1" ]
618630	2 3 5 17 1213	[ "618630 2 309315", "309315 3 103105", "103105 5 20621", "20621 17 1213", "1213 1213 1" ]
2209973	37 59729	[ "2209973 37 59729", "59729 59729 1" ]
959830	2 5 53 1811	[ "959830 2 479915", "479915 5 95983", "95983 53 1811", "1811 1811 1" ]
2163433	107 20219	[ "2163433 107 20219", "20219 20219 1" ]
291938	2 145969	[ "291938 2 145969", "145969 145969 1" ]
3953168	2 2 2 2 247073	[ "3953168 2 1976584", "1976584 2 988292", "988292 2 494146", "494146 2 247073", "247073 247073 1" ]
3338031	3 1112677	[ "3338031 3 1112677", "1112677 1112677 1" ]
4185146	2 7 233 1283	[ "4185146 2 2092573", "2092573 7 298939", "298939 233 1283", "1283 1283 1" ]
2617028	2 2 654257	[ "2617028 2 1308514", "1308514 2 654257", "654257 654257 1" ]
3214655	5 642931	[ "3214655 5 642931", "642931 642931 1" ]
2131992	2 2 2 3 3 29611	[ "2131992 2 1065996", "1065996 2 532998", "532998 2 266499", "266499 3 88833", "88833 3 29611", "29611 29611 1" ]
2840211	3 3 3 11 73 131	[ "2840211 3 946737", "946737 3 315579", "315579 3 105193", "105193 11 9563", "9563 73 131", "131 131 1" ]
3429248	2 2 2 2 2 2 2 73 367	[ "3429248 2 1714624", "1714624 2 857312", "857312 2 428656", "428656 2 214328", "214328 2 107164", "107164 2 53582", "53582 2 26791", "26791 73 367", "367 367 1" ]
4649725	5 5 61 3049	[ "4649725 5 929945", "929945 5 185989", "185989 61 3049", "3049 3049 1" ]
3016988	2 2 13 13 4463	[ "3016988 2 1508494", "1508494 2 754247", "754247 13 58019", "58019 13 4463", "4463 4463 1" ]
376706	2 11 17123	[ "376706 2 188353", "188353 11 17123", "17123 17123 1" ]
1844191	37 49843	[ "1844191 37 49843", "49843 49843 1" ]
986239	986239	[ "986239 986239 1" ]
2525379	3 841793	[ "2525379 3 841793", "841793 841793 1" ]
1418428	2 2 11 32237	[ "1418428 2 709214", "709214 2 354607", "354607 11 32237", "32237 32237 1" ]
4735983	3 7 225523	[ "4735983 3 1578661", "1578661 7 225523", "225523 225523 1" ]
3520448	2 2 2 2 2 2 67 821	[ "3520448 2 1760224", "1760224 2 880112", "880112 2 440056", "440056 2 220028", "220028 2 110014", "110014 2 55007", "55007 67 821", "821 821 1" ]
3640260	2 2 3 5 13 13 359	[ "3640260 2 1820130", "1820130 2 910065", "910065 3 303355", "303355 5 60671", "60671 13 4667", "4667 13 359", "359 359 1" ]
3586369	229 15661	[ "3586369 229 15661", "15661 15661 1" ]
4458812	2 2 907 1229	[ "4458812 2 2229406", "2229406 2 1114703", "1114703 907 1229", "1229 1229 1" ]
197579	41 61 79	[ "197579 41 4819", "4819 61 79", "79 79 1" ]
837672	2 2 2 3 11 19 167	[ "837672 2 418836", "418836 2 209418", "209418 2 104709", "104709 3 34903", "34903 11 3173", "3173 19 167", "167 167 1" ]
2630937	3 17 79 653	[ "2630937 3 876979", "876979 17 51587", "51587 79 653", "653 653 1" ]
2285544	2 2 2 3 95231	[ "2285544 2 1142772", "1142772 2 571386", "571386 2 285693", "285693 3 95231", "95231 95231 1" ]
821447	11 53 1409	[ "821447 11 74677", "74677 53 1409", "1409 1409 1" ]
584090	2 5 13 4493	[ "584090 2 292045", "292045 5 58409", "58409 13 4493", "4493 4493 1" ]
1052852	2 2 263213	[ "1052852 2 526426", "526426 2 263213", "263213 263213 1" ]
2857269	3 952423	[ "2857269 3 952423", "952423 952423 1" ]
1205874	2 3 3 3 137 163	[ "1205874 2 602937", "602937 3 200979", "200979 3 66993", "66993 3 22331", "22331 137 163", "163 163 1" ]
99716	2 2 97 257	[ "99716 2 49858", "49858 2 24929", "24929 97 257", "257 257 1" ]
4647567	3 337 4597	[ "4647567 3 1549189", "1549189 337 4597", "4597 4597 1" ]
1319687	1319687	[ "1319687 1319687 1" ]
3729367	89 41903	[ "3729367 89 41903", "41903 41903 1" ]
3771337	313 12049	[ "3771337 313 12049", "12049 12049 1" ]
747315	3 3 5 16607	[ "747315 3 249105", "249105 3 83035", "83035 5 16607", "16607 16607 1" ]
1581769	7 7 19 1699	[ "1581769 7 225967", "225967 7 32281", "32281 19 1699", "1699 1699 1" ]
2201456	2 2 2 2 223 617	[ "2201456 2 1100728", "1100728 2 550364", "550364 2 275182", "275182 2 137591", "137591 223 617", "617 617 1" ]
2194322	2 13 37 2281	[ "2194322 2 1097161", "1097161 13 84397", "84397 37 2281", "2281 2281 1" ]
253946	2 7 11 17 97	[ "253946 2 126973", "126973 7 18139", "18139 11 1649", "1649 17 97", "97 97 1" ]
4491288	2 2 2 3 3 3 3 29 239	[ "4491288 2 2245644", "2245644 2 1122822", "1122822 2 561411", "561411 3 187137", "187137 3 62379", "62379 3 20793", "20793 3 6931", "6931 29 239", "239 239 1" ]
4973448	2 2 2 3 207227	[ "4973448 2 2486724", "2486724 2 1243362", "1243362 2 621681", "621681 3 207227", "207227 207227 1" ]
401117	37 37 293	[ "401117 37 10841", "10841 37 293", "293 293 1" ]
22098	2 3 29 127	[ "22098 2 11049", "11049 3 3683", "3683 29 127", "127 127 1" ]
3955577	17 232681	[ "3955577 17 232681", "232681 232681 1" ]
407961	3 3 45329	[ "407961 3 135987", "135987 3 45329", "45329 45329 1" ]
836316	2 2 3 3 13 1787	[ "836316 2 418158", "418158 2 209079", "209079 3 69693", "69693 3 23231", "23231 13 1787", "1787 1787 1" ]
3683183	7 7 75167	[ "3683183 7 526169", "526169 7 75167", "75167 75167 1" ]
4478457	3 1492819	[ "4478457 3 1492819", "1492819 1492819 1" ]
190244	2 2 199 239	[ "190244 2 95122", "95122 2 47561", "47561 199 239", "239 239 1" ]
2773084	2 2 761 911	[ "2773084 2 1386542", "1386542 2 693271", "693271 761 911", "911 911 1" ]
4543602	2 3 7 251 431	[ "4543602 2 2271801", "2271801 3 757267", "757267 7 108181", "108181 251 431", "431 431 1" ]
3581583	3 23 51907	[ "3581583 3 1193861", "1193861 23 51907", "51907 51907 1" ]
622961	571 1091	[ "622961 571 1091", "1091 1091 1" ]
1622700	2 2 3 3 3 5 5 601	[ "1622700 2 811350", "811350 2 405675", "405675 3 135225", "135225 3 45075", "45075 3 15025", "15025 5 3005", "3005 5 601", "601 601 1" ]
2252981	29 77689	[ "2252981 29 77689", "77689 77689 1" ]
4233695	5 846739	[ "4233695 5 846739", "846739 846739 1" ]
2235609	3 3 248401	[ "2235609 3 745203", "745203 3 248401", "248401 248401 1" ]
121169	121169	[ "121169 121169 1" ]
4194055	5 61 13751	[ "4194055 5 838811", "838811 61 13751", "13751 13751 1" ]
2613483	3 3 53 5479	[ "2613483 3 871161", "871161 3 290387", "290387 53 5479", "5479 5479 1" ]
1058962	2 601 881	[ "1058962 2 529481", "529481 601 881", "881 881 1" ]
2840069	47 60427	[ "2840069 47 60427", "60427 60427 1" ]
4754527	467 10181	[ "4754527 467 10181", "10181 10181 1" ]
1130716	2 2 282679	[ "1130716 2 565358", "565358 2 282679", "282679 282679 1" ]
4291741	37 193 601	[ "4291741 37 115993", "115993 193 601", "601 601 1" ]

57391

29 1979

[ "57391 29 1979", "1979 1979 1" ]

4585799

29 31 5101

[ "4585799 29 158131", "158131 31 5101", "5101 5101 1" ]

1810365

3 5 120691

[ "1810365 3 603455", "603455 5 120691", "120691 120691 1" ]

4981428

2 2 3 3 138373

[ "4981428 2 2490714", "2490714 2 1245357", "1245357 3 415119", "415119 3 138373", "138373 138373 1" ]

1036479

3 439 787

[ "1036479 3 345493", "345493 439 787", "787 787 1" ]

4599434

2 7 7 46933

[ "4599434 2 2299717", "2299717 7 328531", "328531 7 46933", "46933 46933 1" ]

13985

5 2797

[ "13985 5 2797", "2797 2797 1" ]

365298

2 3 107 569

[ "365298 2 182649", "182649 3 60883", "60883 107 569", "569 569 1" ]

124371

3 3 13 1063

[ "124371 3 41457", "41457 3 13819", "13819 13 1063", "1063 1063 1" ]

4301597

41 104917

[ "4301597 41 104917", "104917 104917 1" ]

2375005

5 433 1097

[ "2375005 5 475001", "475001 433 1097", "1097 1097 1" ]

4854105

3 3 5 269 401

[ "4854105 3 1618035", "1618035 3 539345", "539345 5 107869", "107869 269 401", "401 401 1" ]

2487615

3 5 13 12757

[ "2487615 3 829205", "829205 5 165841", "165841 13 12757", "12757 12757 1" ]

1979023

61 32443

[ "1979023 61 32443", "32443 32443 1" ]

3509551

29 121019

[ "3509551 29 121019", "121019 121019 1" ]

815407

383 2129

[ "815407 383 2129", "2129 2129 1" ]

3750045

3 5 13 19231

[ "3750045 3 1250015", "1250015 5 250003", "250003 13 19231", "19231 19231 1" ]

1100640

2 2 2 2 2 3 5 2293

[ "1100640 2 550320", "550320 2 275160", "275160 2 137580", "137580 2 68790", "68790 2 34395", "34395 3 11465", "11465 5 2293", "2293 2293 1" ]

3064283

59 167 311

[ "3064283 59 51937", "51937 167 311", "311 311 1" ]

895827

3 23 12983

[ "895827 3 298609", "298609 23 12983", "12983 12983 1" ]

735619

163 4513

[ "735619 163 4513", "4513 4513 1" ]

3085009

[ "3085009 3085009 1" ]

1444237

[ "1444237 1444237 1" ]

2867323

653 4391

[ "2867323 653 4391", "4391 4391 1" ]

2181168

2 2 2 2 3 3 3 3 3 3 11 17

[ "2181168 2 1090584", "1090584 2 545292", "545292 2 272646", "272646 2 136323", "136323 3 45441", "45441 3 15147", "15147 3 5049", "5049 3 1683", "1683 3 561", "561 3 187", "187 11 17", "17 17 1" ]

1255788

2 2 3 3 34883

[ "1255788 2 627894", "627894 2 313947", "313947 3 104649", "104649 3 34883", "34883 34883 1" ]

2874618

2 3 3 159701

[ "2874618 2 1437309", "1437309 3 479103", "479103 3 159701", "159701 159701 1" ]

1122345

3 3 5 7 7 509

[ "1122345 3 374115", "374115 3 124705", "124705 5 24941", "24941 7 3563", "3563 7 509", "509 509 1" ]

1065100

2 2 5 5 10651

[ "1065100 2 532550", "532550 2 266275", "266275 5 53255", "53255 5 10651", "10651 10651 1" ]

639606

2 3 11 11 881

[ "639606 2 319803", "319803 3 106601", "106601 11 9691", "9691 11 881", "881 881 1" ]

618630

2 3 5 17 1213

[ "618630 2 309315", "309315 3 103105", "103105 5 20621", "20621 17 1213", "1213 1213 1" ]

2209973

37 59729

[ "2209973 37 59729", "59729 59729 1" ]

959830

2 5 53 1811

[ "959830 2 479915", "479915 5 95983", "95983 53 1811", "1811 1811 1" ]

2163433

107 20219

[ "2163433 107 20219", "20219 20219 1" ]

291938

2 145969

[ "291938 2 145969", "145969 145969 1" ]

3953168

2 2 2 2 247073

[ "3953168 2 1976584", "1976584 2 988292", "988292 2 494146", "494146 2 247073", "247073 247073 1" ]

3338031

3 1112677

[ "3338031 3 1112677", "1112677 1112677 1" ]

4185146

2 7 233 1283

[ "4185146 2 2092573", "2092573 7 298939", "298939 233 1283", "1283 1283 1" ]

2617028

2 2 654257

[ "2617028 2 1308514", "1308514 2 654257", "654257 654257 1" ]

3214655

5 642931

[ "3214655 5 642931", "642931 642931 1" ]

2131992

2 2 2 3 3 29611

[ "2131992 2 1065996", "1065996 2 532998", "532998 2 266499", "266499 3 88833", "88833 3 29611", "29611 29611 1" ]

2840211

3 3 3 11 73 131

[ "2840211 3 946737", "946737 3 315579", "315579 3 105193", "105193 11 9563", "9563 73 131", "131 131 1" ]

3429248

2 2 2 2 2 2 2 73 367

[ "3429248 2 1714624", "1714624 2 857312", "857312 2 428656", "428656 2 214328", "214328 2 107164", "107164 2 53582", "53582 2 26791", "26791 73 367", "367 367 1" ]

4649725

5 5 61 3049

[ "4649725 5 929945", "929945 5 185989", "185989 61 3049", "3049 3049 1" ]

3016988

2 2 13 13 4463

[ "3016988 2 1508494", "1508494 2 754247", "754247 13 58019", "58019 13 4463", "4463 4463 1" ]

376706

2 11 17123

[ "376706 2 188353", "188353 11 17123", "17123 17123 1" ]

1844191

37 49843

[ "1844191 37 49843", "49843 49843 1" ]

986239

[ "986239 986239 1" ]

2525379

3 841793

[ "2525379 3 841793", "841793 841793 1" ]

1418428

2 2 11 32237

[ "1418428 2 709214", "709214 2 354607", "354607 11 32237", "32237 32237 1" ]

4735983

3 7 225523

[ "4735983 3 1578661", "1578661 7 225523", "225523 225523 1" ]

3520448

2 2 2 2 2 2 67 821

[ "3520448 2 1760224", "1760224 2 880112", "880112 2 440056", "440056 2 220028", "220028 2 110014", "110014 2 55007", "55007 67 821", "821 821 1" ]

3640260

2 2 3 5 13 13 359

[ "3640260 2 1820130", "1820130 2 910065", "910065 3 303355", "303355 5 60671", "60671 13 4667", "4667 13 359", "359 359 1" ]

3586369

229 15661

[ "3586369 229 15661", "15661 15661 1" ]

4458812

2 2 907 1229

[ "4458812 2 2229406", "2229406 2 1114703", "1114703 907 1229", "1229 1229 1" ]

197579

41 61 79

[ "197579 41 4819", "4819 61 79", "79 79 1" ]

837672

2 2 2 3 11 19 167

[ "837672 2 418836", "418836 2 209418", "209418 2 104709", "104709 3 34903", "34903 11 3173", "3173 19 167", "167 167 1" ]

2630937

3 17 79 653

[ "2630937 3 876979", "876979 17 51587", "51587 79 653", "653 653 1" ]

2285544

2 2 2 3 95231

[ "2285544 2 1142772", "1142772 2 571386", "571386 2 285693", "285693 3 95231", "95231 95231 1" ]

821447

11 53 1409

[ "821447 11 74677", "74677 53 1409", "1409 1409 1" ]

584090

2 5 13 4493

[ "584090 2 292045", "292045 5 58409", "58409 13 4493", "4493 4493 1" ]

1052852

2 2 263213

[ "1052852 2 526426", "526426 2 263213", "263213 263213 1" ]

2857269

3 952423

[ "2857269 3 952423", "952423 952423 1" ]

1205874

2 3 3 3 137 163

[ "1205874 2 602937", "602937 3 200979", "200979 3 66993", "66993 3 22331", "22331 137 163", "163 163 1" ]

99716

2 2 97 257

[ "99716 2 49858", "49858 2 24929", "24929 97 257", "257 257 1" ]

4647567

3 337 4597

[ "4647567 3 1549189", "1549189 337 4597", "4597 4597 1" ]

1319687

[ "1319687 1319687 1" ]

3729367

89 41903

[ "3729367 89 41903", "41903 41903 1" ]

3771337

313 12049

[ "3771337 313 12049", "12049 12049 1" ]

747315

3 3 5 16607

[ "747315 3 249105", "249105 3 83035", "83035 5 16607", "16607 16607 1" ]

1581769

7 7 19 1699

[ "1581769 7 225967", "225967 7 32281", "32281 19 1699", "1699 1699 1" ]

2201456

2 2 2 2 223 617

[ "2201456 2 1100728", "1100728 2 550364", "550364 2 275182", "275182 2 137591", "137591 223 617", "617 617 1" ]

2194322

2 13 37 2281

[ "2194322 2 1097161", "1097161 13 84397", "84397 37 2281", "2281 2281 1" ]

253946

2 7 11 17 97

[ "253946 2 126973", "126973 7 18139", "18139 11 1649", "1649 17 97", "97 97 1" ]

4491288

2 2 2 3 3 3 3 29 239

[ "4491288 2 2245644", "2245644 2 1122822", "1122822 2 561411", "561411 3 187137", "187137 3 62379", "62379 3 20793", "20793 3 6931", "6931 29 239", "239 239 1" ]

4973448

2 2 2 3 207227

[ "4973448 2 2486724", "2486724 2 1243362", "1243362 2 621681", "621681 3 207227", "207227 207227 1" ]

401117

37 37 293

[ "401117 37 10841", "10841 37 293", "293 293 1" ]

22098

2 3 29 127

[ "22098 2 11049", "11049 3 3683", "3683 29 127", "127 127 1" ]

3955577

17 232681

[ "3955577 17 232681", "232681 232681 1" ]

407961

3 3 45329

[ "407961 3 135987", "135987 3 45329", "45329 45329 1" ]

836316

2 2 3 3 13 1787

[ "836316 2 418158", "418158 2 209079", "209079 3 69693", "69693 3 23231", "23231 13 1787", "1787 1787 1" ]

3683183

7 7 75167

[ "3683183 7 526169", "526169 7 75167", "75167 75167 1" ]

4478457

3 1492819

[ "4478457 3 1492819", "1492819 1492819 1" ]

190244

2 2 199 239

[ "190244 2 95122", "95122 2 47561", "47561 199 239", "239 239 1" ]

2773084

2 2 761 911

[ "2773084 2 1386542", "1386542 2 693271", "693271 761 911", "911 911 1" ]

4543602

2 3 7 251 431

[ "4543602 2 2271801", "2271801 3 757267", "757267 7 108181", "108181 251 431", "431 431 1" ]

3581583

3 23 51907

[ "3581583 3 1193861", "1193861 23 51907", "51907 51907 1" ]

622961

571 1091

[ "622961 571 1091", "1091 1091 1" ]

1622700

2 2 3 3 3 5 5 601

[ "1622700 2 811350", "811350 2 405675", "405675 3 135225", "135225 3 45075", "45075 3 15025", "15025 5 3005", "3005 5 601", "601 601 1" ]

2252981

29 77689

[ "2252981 29 77689", "77689 77689 1" ]

4233695

5 846739

[ "4233695 5 846739", "846739 846739 1" ]

2235609

3 3 248401

[ "2235609 3 745203", "745203 3 248401", "248401 248401 1" ]

121169

[ "121169 121169 1" ]

4194055

5 61 13751

[ "4194055 5 838811", "838811 61 13751", "13751 13751 1" ]

2613483

3 3 53 5479

[ "2613483 3 871161", "871161 3 290387", "290387 53 5479", "5479 5479 1" ]

1058962

2 601 881

[ "1058962 2 529481", "529481 601 881", "881 881 1" ]

2840069

47 60427

[ "2840069 47 60427", "60427 60427 1" ]

4754527

467 10181

[ "4754527 467 10181", "10181 10181 1" ]

1130716

2 2 282679

[ "1130716 2 565358", "565358 2 282679", "282679 282679 1" ]

4291741

37 193 601

[ "4291741 37 115993", "115993 193 601", "601 601 1" ]