yimingzhang/prime-factorization · Datasets at Hugging Face

input stringlengths 3 7	output stringlengths 3 41	step_by_step_solution listlengths 1 21
3295538	2 1647769	[ "3295538 2 1647769", "1647769 1647769 1" ]
4860201	3 89 109 167	[ "4860201 3 1620067", "1620067 89 18203", "18203 109 167", "167 167 1" ]
2535013	13 109 1789	[ "2535013 13 195001", "195001 109 1789", "1789 1789 1" ]
632942	2 316471	[ "632942 2 316471", "316471 316471 1" ]
1035515	5 13 89 179	[ "1035515 5 207103", "207103 13 15931", "15931 89 179", "179 179 1" ]
2733690	2 3 5 293 311	[ "2733690 2 1366845", "1366845 3 455615", "455615 5 91123", "91123 293 311", "311 311 1" ]
3637195	5 181 4019	[ "3637195 5 727439", "727439 181 4019", "4019 4019 1" ]
4025581	7 541 1063	[ "4025581 7 575083", "575083 541 1063", "1063 1063 1" ]
4473284	2 2 19 71 829	[ "4473284 2 2236642", "2236642 2 1118321", "1118321 19 58859", "58859 71 829", "829 829 1" ]
4813702	2 2406851	[ "4813702 2 2406851", "2406851 2406851 1" ]
2475281	109 22709	[ "2475281 109 22709", "22709 22709 1" ]
1355535	3 3 3 3 5 3347	[ "1355535 3 451845", "451845 3 150615", "150615 3 50205", "50205 3 16735", "16735 5 3347", "3347 3347 1" ]
3694427	11 335857	[ "3694427 11 335857", "335857 335857 1" ]
3575791	37 96643	[ "3575791 37 96643", "96643 96643 1" ]
1717931	29 59239	[ "1717931 29 59239", "59239 59239 1" ]
4208105	5 11 76511	[ "4208105 5 841621", "841621 11 76511", "76511 76511 1" ]
1653132	2 2 3 13 10597	[ "1653132 2 826566", "826566 2 413283", "413283 3 137761", "137761 13 10597", "10597 10597 1" ]
571211	571211	[ "571211 571211 1" ]
3004401	3 1001467	[ "3004401 3 1001467", "1001467 1001467 1" ]
3848995	5 769799	[ "3848995 5 769799", "769799 769799 1" ]
2740273	79 34687	[ "2740273 79 34687", "34687 34687 1" ]
4304217	3 349 4111	[ "4304217 3 1434739", "1434739 349 4111", "4111 4111 1" ]
3103185	3 5 206879	[ "3103185 3 1034395", "1034395 5 206879", "206879 206879 1" ]
2114308	2 2 7 75511	[ "2114308 2 1057154", "1057154 2 528577", "528577 7 75511", "75511 75511 1" ]
2165370	2 3 5 89 811	[ "2165370 2 1082685", "1082685 3 360895", "360895 5 72179", "72179 89 811", "811 811 1" ]
2718843	3 19 47699	[ "2718843 3 906281", "906281 19 47699", "47699 47699 1" ]
3980691	3 3 3 11 13 1031	[ "3980691 3 1326897", "1326897 3 442299", "442299 3 147433", "147433 11 13403", "13403 13 1031", "1031 1031 1" ]
3660158	2 1830079	[ "3660158 2 1830079", "1830079 1830079 1" ]
1934049	3 13 101 491	[ "1934049 3 644683", "644683 13 49591", "49591 101 491", "491 491 1" ]
1609210	2 5 29 31 179	[ "1609210 2 804605", "804605 5 160921", "160921 29 5549", "5549 31 179", "179 179 1" ]
3894669	3 3 3 144247	[ "3894669 3 1298223", "1298223 3 432741", "432741 3 144247", "144247 144247 1" ]
2217349	2217349	[ "2217349 2217349 1" ]
4901378	2 179 13691	[ "4901378 2 2450689", "2450689 179 13691", "13691 13691 1" ]
4558657	4558657	[ "4558657 4558657 1" ]
1150473	3 193 1987	[ "1150473 3 383491", "383491 193 1987", "1987 1987 1" ]
3738437	3738437	[ "3738437 3738437 1" ]
4395494	2 2197747	[ "4395494 2 2197747", "2197747 2197747 1" ]
1394546	2 109 6397	[ "1394546 2 697273", "697273 109 6397", "6397 6397 1" ]
647116	2 2 161779	[ "647116 2 323558", "323558 2 161779", "161779 161779 1" ]
2781911	11 11 83 277	[ "2781911 11 252901", "252901 11 22991", "22991 83 277", "277 277 1" ]
971381	971381	[ "971381 971381 1" ]
2063324	2 2 17 19 1597	[ "2063324 2 1031662", "1031662 2 515831", "515831 17 30343", "30343 19 1597", "1597 1597 1" ]
3820693	139 27487	[ "3820693 139 27487", "27487 27487 1" ]
1930084	2 2 13 37117	[ "1930084 2 965042", "965042 2 482521", "482521 13 37117", "37117 37117 1" ]
1150768	2 2 2 2 71 1013	[ "1150768 2 575384", "575384 2 287692", "287692 2 143846", "143846 2 71923", "71923 71 1013", "1013 1013 1" ]
27608	2 2 2 7 17 29	[ "27608 2 13804", "13804 2 6902", "6902 2 3451", "3451 7 493", "493 17 29", "29 29 1" ]
2918099	313 9323	[ "2918099 313 9323", "9323 9323 1" ]
3235770	2 3 3 5 157 229	[ "3235770 2 1617885", "1617885 3 539295", "539295 3 179765", "179765 5 35953", "35953 157 229", "229 229 1" ]
2911450	2 5 5 58229	[ "2911450 2 1455725", "1455725 5 291145", "291145 5 58229", "58229 58229 1" ]
2731845	3 5 182123	[ "2731845 3 910615", "910615 5 182123", "182123 182123 1" ]
3116332	2 2 71 10973	[ "3116332 2 1558166", "1558166 2 779083", "779083 71 10973", "10973 10973 1" ]
2875078	2 367 3917	[ "2875078 2 1437539", "1437539 367 3917", "3917 3917 1" ]
206366	2 103183	[ "206366 2 103183", "103183 103183 1" ]
3037498	2 1518749	[ "3037498 2 1518749", "1518749 1518749 1" ]
1530632	2 2 2 293 653	[ "1530632 2 765316", "765316 2 382658", "382658 2 191329", "191329 293 653", "653 653 1" ]
461858	2 230929	[ "461858 2 230929", "230929 230929 1" ]
2161925	5 5 86477	[ "2161925 5 432385", "432385 5 86477", "86477 86477 1" ]
1972601	947 2083	[ "1972601 947 2083", "2083 2083 1" ]
1069202	2 534601	[ "1069202 2 534601", "534601 534601 1" ]
4851763	7 47 14747	[ "4851763 7 693109", "693109 47 14747", "14747 14747 1" ]
245645	5 73 673	[ "245645 5 49129", "49129 73 673", "673 673 1" ]
3696898	2 1848449	[ "3696898 2 1848449", "1848449 1848449 1" ]
4765088	2 2 2 2 2 43 3463	[ "4765088 2 2382544", "2382544 2 1191272", "1191272 2 595636", "595636 2 297818", "297818 2 148909", "148909 43 3463", "3463 3463 1" ]
3793454	2 7 270961	[ "3793454 2 1896727", "1896727 7 270961", "270961 270961 1" ]
4631605	5 11 84211	[ "4631605 5 926321", "926321 11 84211", "84211 84211 1" ]
1455576	2 2 2 3 60649	[ "1455576 2 727788", "727788 2 363894", "363894 2 181947", "181947 3 60649", "60649 60649 1" ]
3471316	2 2 867829	[ "3471316 2 1735658", "1735658 2 867829", "867829 867829 1" ]
1372149	3 3 152461	[ "1372149 3 457383", "457383 3 152461", "152461 152461 1" ]
110715	3 5 11 11 61	[ "110715 3 36905", "36905 5 7381", "7381 11 671", "671 11 61", "61 61 1" ]
4791469	139 34471	[ "4791469 139 34471", "34471 34471 1" ]
859848	2 2 2 3 11 3257	[ "859848 2 429924", "429924 2 214962", "214962 2 107481", "107481 3 35827", "35827 11 3257", "3257 3257 1" ]
3300183	3 3 3 3 3 3 3 3 503	[ "3300183 3 1100061", "1100061 3 366687", "366687 3 122229", "122229 3 40743", "40743 3 13581", "13581 3 4527", "4527 3 1509", "1509 3 503", "503 503 1" ]
2905297	373 7789	[ "2905297 373 7789", "7789 7789 1" ]
3645299	7 61 8537	[ "3645299 7 520757", "520757 61 8537", "8537 8537 1" ]
1398105	3 3 5 31069	[ "1398105 3 466035", "466035 3 155345", "155345 5 31069", "31069 31069 1" ]
1264061	1264061	[ "1264061 1264061 1" ]
1933293	3 644431	[ "1933293 3 644431", "644431 644431 1" ]
2772308	2 2 7 11 9001	[ "2772308 2 1386154", "1386154 2 693077", "693077 7 99011", "99011 11 9001", "9001 9001 1" ]
3713524	2 2 139 6679	[ "3713524 2 1856762", "1856762 2 928381", "928381 139 6679", "6679 6679 1" ]
492820	2 2 5 41 601	[ "492820 2 246410", "246410 2 123205", "123205 5 24641", "24641 41 601", "601 601 1" ]
1688701	7 19 12697	[ "1688701 7 241243", "241243 19 12697", "12697 12697 1" ]
2796817	2796817	[ "2796817 2796817 1" ]
3654170	2 5 13 28109	[ "3654170 2 1827085", "1827085 5 365417", "365417 13 28109", "28109 28109 1" ]
3885380	2 2 5 194269	[ "3885380 2 1942690", "1942690 2 971345", "971345 5 194269", "194269 194269 1" ]
4186516	2 2 937 1117	[ "4186516 2 2093258", "2093258 2 1046629", "1046629 937 1117", "1117 1117 1" ]
1332604	2 2 7 7 13 523	[ "1332604 2 666302", "666302 2 333151", "333151 7 47593", "47593 7 6799", "6799 13 523", "523 523 1" ]
1437698	2 449 1601	[ "1437698 2 718849", "718849 449 1601", "1601 1601 1" ]
4382805	3 5 7 7 67 89	[ "4382805 3 1460935", "1460935 5 292187", "292187 7 41741", "41741 7 5963", "5963 67 89", "89 89 1" ]
765694	2 382847	[ "765694 2 382847", "382847 382847 1" ]
2109259	37 109 523	[ "2109259 37 57007", "57007 109 523", "523 523 1" ]
846003	3 282001	[ "846003 3 282001", "282001 282001 1" ]
44177	7 6311	[ "44177 7 6311", "6311 6311 1" ]
2117018	2 19 55711	[ "2117018 2 1058509", "1058509 19 55711", "55711 55711 1" ]
740628	2 2 3 3 7 2939	[ "740628 2 370314", "370314 2 185157", "185157 3 61719", "61719 3 20573", "20573 7 2939", "2939 2939 1" ]
1082986	2 157 3449	[ "1082986 2 541493", "541493 157 3449", "3449 3449 1" ]
2443637	7 31 11261	[ "2443637 7 349091", "349091 31 11261", "11261 11261 1" ]
3807794	2 1903897	[ "3807794 2 1903897", "1903897 1903897 1" ]
1052693	1052693	[ "1052693 1052693 1" ]
4765973	4765973	[ "4765973 4765973 1" ]
2480537	59 42043	[ "2480537 59 42043", "42043 42043 1" ]

3295538

2 1647769

[ "3295538 2 1647769", "1647769 1647769 1" ]

4860201

3 89 109 167

[ "4860201 3 1620067", "1620067 89 18203", "18203 109 167", "167 167 1" ]

2535013

13 109 1789

[ "2535013 13 195001", "195001 109 1789", "1789 1789 1" ]

632942

2 316471

[ "632942 2 316471", "316471 316471 1" ]

1035515

5 13 89 179

[ "1035515 5 207103", "207103 13 15931", "15931 89 179", "179 179 1" ]

2733690

2 3 5 293 311

[ "2733690 2 1366845", "1366845 3 455615", "455615 5 91123", "91123 293 311", "311 311 1" ]

3637195

5 181 4019

[ "3637195 5 727439", "727439 181 4019", "4019 4019 1" ]

4025581

7 541 1063

[ "4025581 7 575083", "575083 541 1063", "1063 1063 1" ]

4473284

2 2 19 71 829

[ "4473284 2 2236642", "2236642 2 1118321", "1118321 19 58859", "58859 71 829", "829 829 1" ]

4813702

2 2406851

[ "4813702 2 2406851", "2406851 2406851 1" ]

2475281

109 22709

[ "2475281 109 22709", "22709 22709 1" ]

1355535

3 3 3 3 5 3347

[ "1355535 3 451845", "451845 3 150615", "150615 3 50205", "50205 3 16735", "16735 5 3347", "3347 3347 1" ]

3694427

11 335857

[ "3694427 11 335857", "335857 335857 1" ]

3575791

37 96643

[ "3575791 37 96643", "96643 96643 1" ]

1717931

29 59239

[ "1717931 29 59239", "59239 59239 1" ]

4208105

5 11 76511

[ "4208105 5 841621", "841621 11 76511", "76511 76511 1" ]

1653132

2 2 3 13 10597

[ "1653132 2 826566", "826566 2 413283", "413283 3 137761", "137761 13 10597", "10597 10597 1" ]

571211

[ "571211 571211 1" ]

3004401

3 1001467

[ "3004401 3 1001467", "1001467 1001467 1" ]

3848995

5 769799

[ "3848995 5 769799", "769799 769799 1" ]

2740273

79 34687

[ "2740273 79 34687", "34687 34687 1" ]

4304217

3 349 4111

[ "4304217 3 1434739", "1434739 349 4111", "4111 4111 1" ]

3103185

3 5 206879

[ "3103185 3 1034395", "1034395 5 206879", "206879 206879 1" ]

2114308

2 2 7 75511

[ "2114308 2 1057154", "1057154 2 528577", "528577 7 75511", "75511 75511 1" ]

2165370

2 3 5 89 811

[ "2165370 2 1082685", "1082685 3 360895", "360895 5 72179", "72179 89 811", "811 811 1" ]

2718843

3 19 47699

[ "2718843 3 906281", "906281 19 47699", "47699 47699 1" ]

3980691

3 3 3 11 13 1031

[ "3980691 3 1326897", "1326897 3 442299", "442299 3 147433", "147433 11 13403", "13403 13 1031", "1031 1031 1" ]

3660158

2 1830079

[ "3660158 2 1830079", "1830079 1830079 1" ]

1934049

3 13 101 491

[ "1934049 3 644683", "644683 13 49591", "49591 101 491", "491 491 1" ]

1609210

2 5 29 31 179

[ "1609210 2 804605", "804605 5 160921", "160921 29 5549", "5549 31 179", "179 179 1" ]

3894669

3 3 3 144247

[ "3894669 3 1298223", "1298223 3 432741", "432741 3 144247", "144247 144247 1" ]

2217349

[ "2217349 2217349 1" ]

4901378

2 179 13691

[ "4901378 2 2450689", "2450689 179 13691", "13691 13691 1" ]

4558657

[ "4558657 4558657 1" ]

1150473

3 193 1987

[ "1150473 3 383491", "383491 193 1987", "1987 1987 1" ]

3738437

[ "3738437 3738437 1" ]

4395494

2 2197747

[ "4395494 2 2197747", "2197747 2197747 1" ]

1394546

2 109 6397

[ "1394546 2 697273", "697273 109 6397", "6397 6397 1" ]

647116

2 2 161779

[ "647116 2 323558", "323558 2 161779", "161779 161779 1" ]

2781911

11 11 83 277

[ "2781911 11 252901", "252901 11 22991", "22991 83 277", "277 277 1" ]

971381

[ "971381 971381 1" ]

2063324

2 2 17 19 1597

[ "2063324 2 1031662", "1031662 2 515831", "515831 17 30343", "30343 19 1597", "1597 1597 1" ]

3820693

139 27487

[ "3820693 139 27487", "27487 27487 1" ]

1930084

2 2 13 37117

[ "1930084 2 965042", "965042 2 482521", "482521 13 37117", "37117 37117 1" ]

1150768

2 2 2 2 71 1013

[ "1150768 2 575384", "575384 2 287692", "287692 2 143846", "143846 2 71923", "71923 71 1013", "1013 1013 1" ]

27608

2 2 2 7 17 29

[ "27608 2 13804", "13804 2 6902", "6902 2 3451", "3451 7 493", "493 17 29", "29 29 1" ]

2918099

313 9323

[ "2918099 313 9323", "9323 9323 1" ]

3235770

2 3 3 5 157 229

[ "3235770 2 1617885", "1617885 3 539295", "539295 3 179765", "179765 5 35953", "35953 157 229", "229 229 1" ]

2911450

2 5 5 58229

[ "2911450 2 1455725", "1455725 5 291145", "291145 5 58229", "58229 58229 1" ]

2731845

3 5 182123

[ "2731845 3 910615", "910615 5 182123", "182123 182123 1" ]

3116332

2 2 71 10973

[ "3116332 2 1558166", "1558166 2 779083", "779083 71 10973", "10973 10973 1" ]

2875078

2 367 3917

[ "2875078 2 1437539", "1437539 367 3917", "3917 3917 1" ]

206366

2 103183

[ "206366 2 103183", "103183 103183 1" ]

3037498

2 1518749

[ "3037498 2 1518749", "1518749 1518749 1" ]

1530632

2 2 2 293 653

[ "1530632 2 765316", "765316 2 382658", "382658 2 191329", "191329 293 653", "653 653 1" ]

461858

2 230929

[ "461858 2 230929", "230929 230929 1" ]

2161925

5 5 86477

[ "2161925 5 432385", "432385 5 86477", "86477 86477 1" ]

1972601

947 2083

[ "1972601 947 2083", "2083 2083 1" ]

1069202

2 534601

[ "1069202 2 534601", "534601 534601 1" ]

4851763

7 47 14747

[ "4851763 7 693109", "693109 47 14747", "14747 14747 1" ]

245645

5 73 673

[ "245645 5 49129", "49129 73 673", "673 673 1" ]

3696898

2 1848449

[ "3696898 2 1848449", "1848449 1848449 1" ]

4765088

2 2 2 2 2 43 3463

[ "4765088 2 2382544", "2382544 2 1191272", "1191272 2 595636", "595636 2 297818", "297818 2 148909", "148909 43 3463", "3463 3463 1" ]

3793454

2 7 270961

[ "3793454 2 1896727", "1896727 7 270961", "270961 270961 1" ]

4631605

5 11 84211

[ "4631605 5 926321", "926321 11 84211", "84211 84211 1" ]

1455576

2 2 2 3 60649

[ "1455576 2 727788", "727788 2 363894", "363894 2 181947", "181947 3 60649", "60649 60649 1" ]

3471316

2 2 867829

[ "3471316 2 1735658", "1735658 2 867829", "867829 867829 1" ]

1372149

3 3 152461

[ "1372149 3 457383", "457383 3 152461", "152461 152461 1" ]

110715

3 5 11 11 61

[ "110715 3 36905", "36905 5 7381", "7381 11 671", "671 11 61", "61 61 1" ]

4791469

139 34471

[ "4791469 139 34471", "34471 34471 1" ]

859848

2 2 2 3 11 3257

[ "859848 2 429924", "429924 2 214962", "214962 2 107481", "107481 3 35827", "35827 11 3257", "3257 3257 1" ]

3300183

3 3 3 3 3 3 3 3 503

[ "3300183 3 1100061", "1100061 3 366687", "366687 3 122229", "122229 3 40743", "40743 3 13581", "13581 3 4527", "4527 3 1509", "1509 3 503", "503 503 1" ]

2905297

373 7789

[ "2905297 373 7789", "7789 7789 1" ]

3645299

7 61 8537

[ "3645299 7 520757", "520757 61 8537", "8537 8537 1" ]

1398105

3 3 5 31069

[ "1398105 3 466035", "466035 3 155345", "155345 5 31069", "31069 31069 1" ]

1264061

[ "1264061 1264061 1" ]

1933293

3 644431

[ "1933293 3 644431", "644431 644431 1" ]

2772308

2 2 7 11 9001

[ "2772308 2 1386154", "1386154 2 693077", "693077 7 99011", "99011 11 9001", "9001 9001 1" ]

3713524

2 2 139 6679

[ "3713524 2 1856762", "1856762 2 928381", "928381 139 6679", "6679 6679 1" ]

492820

2 2 5 41 601

[ "492820 2 246410", "246410 2 123205", "123205 5 24641", "24641 41 601", "601 601 1" ]

1688701

7 19 12697

[ "1688701 7 241243", "241243 19 12697", "12697 12697 1" ]

2796817

[ "2796817 2796817 1" ]

3654170

2 5 13 28109

[ "3654170 2 1827085", "1827085 5 365417", "365417 13 28109", "28109 28109 1" ]

3885380

2 2 5 194269

[ "3885380 2 1942690", "1942690 2 971345", "971345 5 194269", "194269 194269 1" ]

4186516

2 2 937 1117

[ "4186516 2 2093258", "2093258 2 1046629", "1046629 937 1117", "1117 1117 1" ]

1332604

2 2 7 7 13 523

[ "1332604 2 666302", "666302 2 333151", "333151 7 47593", "47593 7 6799", "6799 13 523", "523 523 1" ]

1437698

2 449 1601

[ "1437698 2 718849", "718849 449 1601", "1601 1601 1" ]

4382805

3 5 7 7 67 89

[ "4382805 3 1460935", "1460935 5 292187", "292187 7 41741", "41741 7 5963", "5963 67 89", "89 89 1" ]

765694

2 382847

[ "765694 2 382847", "382847 382847 1" ]

2109259

37 109 523

[ "2109259 37 57007", "57007 109 523", "523 523 1" ]

846003

3 282001

[ "846003 3 282001", "282001 282001 1" ]

44177

7 6311

[ "44177 7 6311", "6311 6311 1" ]

2117018

2 19 55711

[ "2117018 2 1058509", "1058509 19 55711", "55711 55711 1" ]

740628

2 2 3 3 7 2939

[ "740628 2 370314", "370314 2 185157", "185157 3 61719", "61719 3 20573", "20573 7 2939", "2939 2939 1" ]

1082986

2 157 3449

[ "1082986 2 541493", "541493 157 3449", "3449 3449 1" ]

2443637

7 31 11261

[ "2443637 7 349091", "349091 31 11261", "11261 11261 1" ]

3807794

2 1903897

[ "3807794 2 1903897", "1903897 1903897 1" ]

1052693

[ "1052693 1052693 1" ]

4765973

[ "4765973 4765973 1" ]

2480537

59 42043

[ "2480537 59 42043", "42043 42043 1" ]