yimingzhang/prime-factorization · Datasets at Hugging Face

input stringlengths 3 7	output stringlengths 3 41	step_by_step_solution listlengths 1 21
1275050	2 5 5 7 3643	[ "1275050 2 637525", "637525 5 127505", "127505 5 25501", "25501 7 3643", "3643 3643 1" ]
2042821	11 185711	[ "2042821 11 185711", "185711 185711 1" ]
689682	2 3 7 16421	[ "689682 2 344841", "344841 3 114947", "114947 7 16421", "16421 16421 1" ]
269611	53 5087	[ "269611 53 5087", "5087 5087 1" ]
1228101	3 7 58481	[ "1228101 3 409367", "409367 7 58481", "58481 58481 1" ]
4234016	2 2 2 2 2 132313	[ "4234016 2 2117008", "2117008 2 1058504", "1058504 2 529252", "529252 2 264626", "264626 2 132313", "132313 132313 1" ]
294199	294199	[ "294199 294199 1" ]
4844057	4844057	[ "4844057 4844057 1" ]
4714235	5 942847	[ "4714235 5 942847", "942847 942847 1" ]
4308090	2 3 5 163 881	[ "4308090 2 2154045", "2154045 3 718015", "718015 5 143603", "143603 163 881", "881 881 1" ]
4237465	5 847493	[ "4237465 5 847493", "847493 847493 1" ]
1669752	2 2 2 3 3 7 3313	[ "1669752 2 834876", "834876 2 417438", "417438 2 208719", "208719 3 69573", "69573 3 23191", "23191 7 3313", "3313 3313 1" ]
3425726	2 223 7681	[ "3425726 2 1712863", "1712863 223 7681", "7681 7681 1" ]
975073	11 88643	[ "975073 11 88643", "88643 88643 1" ]
1913877	3 3 7 17 1787	[ "1913877 3 637959", "637959 3 212653", "212653 7 30379", "30379 17 1787", "1787 1787 1" ]
2587447	37 69931	[ "2587447 37 69931", "69931 69931 1" ]
469303	469303	[ "469303 469303 1" ]
1524124	2 2 7 29 1877	[ "1524124 2 762062", "762062 2 381031", "381031 7 54433", "54433 29 1877", "1877 1877 1" ]
1093002	2 3 182167	[ "1093002 2 546501", "546501 3 182167", "182167 182167 1" ]
4498558	2 47 47857	[ "4498558 2 2249279", "2249279 47 47857", "47857 47857 1" ]
4731595	5 11 86029	[ "4731595 5 946319", "946319 11 86029", "86029 86029 1" ]
414277	414277	[ "414277 414277 1" ]
1449605	5 19 15259	[ "1449605 5 289921", "289921 19 15259", "15259 15259 1" ]
916618	2 458309	[ "916618 2 458309", "458309 458309 1" ]
1805329	1049 1721	[ "1805329 1049 1721", "1721 1721 1" ]
4715779	41 115019	[ "4715779 41 115019", "115019 115019 1" ]
3573030	2 3 5 119101	[ "3573030 2 1786515", "1786515 3 595505", "595505 5 119101", "119101 119101 1" ]
4697729	17 276337	[ "4697729 17 276337", "276337 276337 1" ]
4141619	1381 2999	[ "4141619 1381 2999", "2999 2999 1" ]
1927365	3 5 11 11681	[ "1927365 3 642455", "642455 5 128491", "128491 11 11681", "11681 11681 1" ]
12449	59 211	[ "12449 59 211", "211 211 1" ]
369830	2 5 31 1193	[ "369830 2 184915", "184915 5 36983", "36983 31 1193", "1193 1193 1" ]
1200673	1200673	[ "1200673 1200673 1" ]
3288480	2 2 2 2 2 3 5 13 17 31	[ "3288480 2 1644240", "1644240 2 822120", "822120 2 411060", "411060 2 205530", "205530 2 102765", "102765 3 34255", "34255 5 6851", "6851 13 527", "527 17 31", "31 31 1" ]
2561611	13 17 67 173	[ "2561611 13 197047", "197047 17 11591", "11591 67 173", "173 173 1" ]
3471782	2 839 2069	[ "3471782 2 1735891", "1735891 839 2069", "2069 2069 1" ]
4036859	433 9323	[ "4036859 433 9323", "9323 9323 1" ]
3686413	61 223 271	[ "3686413 61 60433", "60433 223 271", "271 271 1" ]
1395131	61 22871	[ "1395131 61 22871", "22871 22871 1" ]
2829634	2 71 19927	[ "2829634 2 1414817", "1414817 71 19927", "19927 19927 1" ]
2707193	349 7757	[ "2707193 349 7757", "7757 7757 1" ]
1202461	13 17 5441	[ "1202461 13 92497", "92497 17 5441", "5441 5441 1" ]
4224689	7 47 12841	[ "4224689 7 603527", "603527 47 12841", "12841 12841 1" ]
3605949	3 3 149 2689	[ "3605949 3 1201983", "1201983 3 400661", "400661 149 2689", "2689 2689 1" ]
2194378	2 1097189	[ "2194378 2 1097189", "1097189 1097189 1" ]
4621942	2 13 23 59 131	[ "4621942 2 2310971", "2310971 13 177767", "177767 23 7729", "7729 59 131", "131 131 1" ]
4093645	5 19 41 1051	[ "4093645 5 818729", "818729 19 43091", "43091 41 1051", "1051 1051 1" ]
2270076	2 2 3 101 1873	[ "2270076 2 1135038", "1135038 2 567519", "567519 3 189173", "189173 101 1873", "1873 1873 1" ]
2776802	2 7 241 823	[ "2776802 2 1388401", "1388401 7 198343", "198343 241 823", "823 823 1" ]
4207145	5 79 10651	[ "4207145 5 841429", "841429 79 10651", "10651 10651 1" ]
4950818	2 101 24509	[ "4950818 2 2475409", "2475409 101 24509", "24509 24509 1" ]
58611	3 7 2791	[ "58611 3 19537", "19537 7 2791", "2791 2791 1" ]
3617070	2 3 5 120569	[ "3617070 2 1808535", "1808535 3 602845", "602845 5 120569", "120569 120569 1" ]
2137891	7 305413	[ "2137891 7 305413", "305413 305413 1" ]
395905	5 79181	[ "395905 5 79181", "79181 79181 1" ]
3426856	2 2 2 89 4813	[ "3426856 2 1713428", "1713428 2 856714", "856714 2 428357", "428357 89 4813", "4813 4813 1" ]
486147	3 347 467	[ "486147 3 162049", "162049 347 467", "467 467 1" ]
2916415	5 467 1249	[ "2916415 5 583283", "583283 467 1249", "1249 1249 1" ]
4090349	4090349	[ "4090349 4090349 1" ]
1888658	2 944329	[ "1888658 2 944329", "944329 944329 1" ]
4898230	2 5 489823	[ "4898230 2 2449115", "2449115 5 489823", "489823 489823 1" ]
27012	2 2 3 2251	[ "27012 2 13506", "13506 2 6753", "6753 3 2251", "2251 2251 1" ]
1265467	7 293 617	[ "1265467 7 180781", "180781 293 617", "617 617 1" ]
350102	2 193 907	[ "350102 2 175051", "175051 193 907", "907 907 1" ]
4039891	313 12907	[ "4039891 313 12907", "12907 12907 1" ]
3030844	2 2 757711	[ "3030844 2 1515422", "1515422 2 757711", "757711 757711 1" ]
4952995	5 990599	[ "4952995 5 990599", "990599 990599 1" ]
3606459	3 1202153	[ "3606459 3 1202153", "1202153 1202153 1" ]
4913194	2 11 13 41 419	[ "4913194 2 2456597", "2456597 11 223327", "223327 13 17179", "17179 41 419", "419 419 1" ]
664946	2 332473	[ "664946 2 332473", "332473 332473 1" ]
236026	2 7 23 733	[ "236026 2 118013", "118013 7 16859", "16859 23 733", "733 733 1" ]
27536	2 2 2 2 1721	[ "27536 2 13768", "13768 2 6884", "6884 2 3442", "3442 2 1721", "1721 1721 1" ]
2896794	2 3 3 160933	[ "2896794 2 1448397", "1448397 3 482799", "482799 3 160933", "160933 160933 1" ]
1754821	19 19 4861	[ "1754821 19 92359", "92359 19 4861", "4861 4861 1" ]
253941	3 47 1801	[ "253941 3 84647", "84647 47 1801", "1801 1801 1" ]
924135	3 5 61609	[ "924135 3 308045", "308045 5 61609", "61609 61609 1" ]
583616	2 2 2 2 2 2 11 829	[ "583616 2 291808", "291808 2 145904", "145904 2 72952", "72952 2 36476", "36476 2 18238", "18238 2 9119", "9119 11 829", "829 829 1" ]
3928648	2 2 2 491081	[ "3928648 2 1964324", "1964324 2 982162", "982162 2 491081", "491081 491081 1" ]
4078856	2 2 2 31 16447	[ "4078856 2 2039428", "2039428 2 1019714", "1019714 2 509857", "509857 31 16447", "16447 16447 1" ]
510475	5 5 7 2917	[ "510475 5 102095", "102095 5 20419", "20419 7 2917", "2917 2917 1" ]
1462246	2 787 929	[ "1462246 2 731123", "731123 787 929", "929 929 1" ]
1375197	3 458399	[ "1375197 3 458399", "458399 458399 1" ]
4398812	2 2 11 257 389	[ "4398812 2 2199406", "2199406 2 1099703", "1099703 11 99973", "99973 257 389", "389 389 1" ]
588454	2 294227	[ "588454 2 294227", "294227 294227 1" ]
733409	733409	[ "733409 733409 1" ]
1082413	179 6047	[ "1082413 179 6047", "6047 6047 1" ]
864978	2 3 144163	[ "864978 2 432489", "432489 3 144163", "144163 144163 1" ]
1771158	2 3 163 1811	[ "1771158 2 885579", "885579 3 295193", "295193 163 1811", "1811 1811 1" ]
468169	13 36013	[ "468169 13 36013", "36013 36013 1" ]
568177	568177	[ "568177 568177 1" ]
2483775	3 3 5 5 7 19 83	[ "2483775 3 827925", "827925 3 275975", "275975 5 55195", "55195 5 11039", "11039 7 1577", "1577 19 83", "83 83 1" ]
757495	5 151499	[ "757495 5 151499", "151499 151499 1" ]
4415577	3 41 35899	[ "4415577 3 1471859", "1471859 41 35899", "35899 35899 1" ]
4694425	5 5 19 9883	[ "4694425 5 938885", "938885 5 187777", "187777 19 9883", "9883 9883 1" ]
1061296	2 2 2 2 113 587	[ "1061296 2 530648", "530648 2 265324", "265324 2 132662", "132662 2 66331", "66331 113 587", "587 587 1" ]
4882085	5 13 75109	[ "4882085 5 976417", "976417 13 75109", "75109 75109 1" ]
566480	2 2 2 2 5 73 97	[ "566480 2 283240", "283240 2 141620", "141620 2 70810", "70810 2 35405", "35405 5 7081", "7081 73 97", "97 97 1" ]
406943	373 1091	[ "406943 373 1091", "1091 1091 1" ]
1944641	293 6637	[ "1944641 293 6637", "6637 6637 1" ]
2642750	2 5 5 5 11 31 31	[ "2642750 2 1321375", "1321375 5 264275", "264275 5 52855", "52855 5 10571", "10571 11 961", "961 31 31", "31 31 1" ]

1275050

2 5 5 7 3643

[ "1275050 2 637525", "637525 5 127505", "127505 5 25501", "25501 7 3643", "3643 3643 1" ]

2042821

11 185711

[ "2042821 11 185711", "185711 185711 1" ]

689682

2 3 7 16421

[ "689682 2 344841", "344841 3 114947", "114947 7 16421", "16421 16421 1" ]

269611

53 5087

[ "269611 53 5087", "5087 5087 1" ]

1228101

3 7 58481

[ "1228101 3 409367", "409367 7 58481", "58481 58481 1" ]

4234016

2 2 2 2 2 132313

[ "4234016 2 2117008", "2117008 2 1058504", "1058504 2 529252", "529252 2 264626", "264626 2 132313", "132313 132313 1" ]

294199

[ "294199 294199 1" ]

4844057

[ "4844057 4844057 1" ]

4714235

5 942847

[ "4714235 5 942847", "942847 942847 1" ]

4308090

2 3 5 163 881

[ "4308090 2 2154045", "2154045 3 718015", "718015 5 143603", "143603 163 881", "881 881 1" ]

4237465

5 847493

[ "4237465 5 847493", "847493 847493 1" ]

1669752

2 2 2 3 3 7 3313

[ "1669752 2 834876", "834876 2 417438", "417438 2 208719", "208719 3 69573", "69573 3 23191", "23191 7 3313", "3313 3313 1" ]

3425726

2 223 7681

[ "3425726 2 1712863", "1712863 223 7681", "7681 7681 1" ]

975073

11 88643

[ "975073 11 88643", "88643 88643 1" ]

1913877

3 3 7 17 1787

[ "1913877 3 637959", "637959 3 212653", "212653 7 30379", "30379 17 1787", "1787 1787 1" ]

2587447

37 69931

[ "2587447 37 69931", "69931 69931 1" ]

469303

[ "469303 469303 1" ]

1524124

2 2 7 29 1877

[ "1524124 2 762062", "762062 2 381031", "381031 7 54433", "54433 29 1877", "1877 1877 1" ]

1093002

2 3 182167

[ "1093002 2 546501", "546501 3 182167", "182167 182167 1" ]

4498558

2 47 47857

[ "4498558 2 2249279", "2249279 47 47857", "47857 47857 1" ]

4731595

5 11 86029

[ "4731595 5 946319", "946319 11 86029", "86029 86029 1" ]

414277

[ "414277 414277 1" ]

1449605

5 19 15259

[ "1449605 5 289921", "289921 19 15259", "15259 15259 1" ]

916618

2 458309

[ "916618 2 458309", "458309 458309 1" ]

1805329

1049 1721

[ "1805329 1049 1721", "1721 1721 1" ]

4715779

41 115019

[ "4715779 41 115019", "115019 115019 1" ]

3573030

2 3 5 119101

[ "3573030 2 1786515", "1786515 3 595505", "595505 5 119101", "119101 119101 1" ]

4697729

17 276337

[ "4697729 17 276337", "276337 276337 1" ]

4141619

1381 2999

[ "4141619 1381 2999", "2999 2999 1" ]

1927365

3 5 11 11681

[ "1927365 3 642455", "642455 5 128491", "128491 11 11681", "11681 11681 1" ]

12449

59 211

[ "12449 59 211", "211 211 1" ]

369830

2 5 31 1193

[ "369830 2 184915", "184915 5 36983", "36983 31 1193", "1193 1193 1" ]

1200673

[ "1200673 1200673 1" ]

3288480

2 2 2 2 2 3 5 13 17 31

[ "3288480 2 1644240", "1644240 2 822120", "822120 2 411060", "411060 2 205530", "205530 2 102765", "102765 3 34255", "34255 5 6851", "6851 13 527", "527 17 31", "31 31 1" ]

2561611

13 17 67 173

[ "2561611 13 197047", "197047 17 11591", "11591 67 173", "173 173 1" ]

3471782

2 839 2069

[ "3471782 2 1735891", "1735891 839 2069", "2069 2069 1" ]

4036859

433 9323

[ "4036859 433 9323", "9323 9323 1" ]

3686413

61 223 271

[ "3686413 61 60433", "60433 223 271", "271 271 1" ]

1395131

61 22871

[ "1395131 61 22871", "22871 22871 1" ]

2829634

2 71 19927

[ "2829634 2 1414817", "1414817 71 19927", "19927 19927 1" ]

2707193

349 7757

[ "2707193 349 7757", "7757 7757 1" ]

1202461

13 17 5441

[ "1202461 13 92497", "92497 17 5441", "5441 5441 1" ]

4224689

7 47 12841

[ "4224689 7 603527", "603527 47 12841", "12841 12841 1" ]

3605949

3 3 149 2689

[ "3605949 3 1201983", "1201983 3 400661", "400661 149 2689", "2689 2689 1" ]

2194378

2 1097189

[ "2194378 2 1097189", "1097189 1097189 1" ]

4621942

2 13 23 59 131

[ "4621942 2 2310971", "2310971 13 177767", "177767 23 7729", "7729 59 131", "131 131 1" ]

4093645

5 19 41 1051

[ "4093645 5 818729", "818729 19 43091", "43091 41 1051", "1051 1051 1" ]

2270076

2 2 3 101 1873

[ "2270076 2 1135038", "1135038 2 567519", "567519 3 189173", "189173 101 1873", "1873 1873 1" ]

2776802

2 7 241 823

[ "2776802 2 1388401", "1388401 7 198343", "198343 241 823", "823 823 1" ]

4207145

5 79 10651

[ "4207145 5 841429", "841429 79 10651", "10651 10651 1" ]

4950818

2 101 24509

[ "4950818 2 2475409", "2475409 101 24509", "24509 24509 1" ]

58611

3 7 2791

[ "58611 3 19537", "19537 7 2791", "2791 2791 1" ]

3617070

2 3 5 120569

[ "3617070 2 1808535", "1808535 3 602845", "602845 5 120569", "120569 120569 1" ]

2137891

7 305413

[ "2137891 7 305413", "305413 305413 1" ]

395905

5 79181

[ "395905 5 79181", "79181 79181 1" ]

3426856

2 2 2 89 4813

[ "3426856 2 1713428", "1713428 2 856714", "856714 2 428357", "428357 89 4813", "4813 4813 1" ]

486147

3 347 467

[ "486147 3 162049", "162049 347 467", "467 467 1" ]

2916415

5 467 1249

[ "2916415 5 583283", "583283 467 1249", "1249 1249 1" ]

4090349

[ "4090349 4090349 1" ]

1888658

2 944329

[ "1888658 2 944329", "944329 944329 1" ]

4898230

2 5 489823

[ "4898230 2 2449115", "2449115 5 489823", "489823 489823 1" ]

27012

2 2 3 2251

[ "27012 2 13506", "13506 2 6753", "6753 3 2251", "2251 2251 1" ]

1265467

7 293 617

[ "1265467 7 180781", "180781 293 617", "617 617 1" ]

350102

2 193 907

[ "350102 2 175051", "175051 193 907", "907 907 1" ]

4039891

313 12907

[ "4039891 313 12907", "12907 12907 1" ]

3030844

2 2 757711

[ "3030844 2 1515422", "1515422 2 757711", "757711 757711 1" ]

4952995

5 990599

[ "4952995 5 990599", "990599 990599 1" ]

3606459

3 1202153

[ "3606459 3 1202153", "1202153 1202153 1" ]

4913194

2 11 13 41 419

[ "4913194 2 2456597", "2456597 11 223327", "223327 13 17179", "17179 41 419", "419 419 1" ]

664946

2 332473

[ "664946 2 332473", "332473 332473 1" ]

236026

2 7 23 733

[ "236026 2 118013", "118013 7 16859", "16859 23 733", "733 733 1" ]

27536

2 2 2 2 1721

[ "27536 2 13768", "13768 2 6884", "6884 2 3442", "3442 2 1721", "1721 1721 1" ]

2896794

2 3 3 160933

[ "2896794 2 1448397", "1448397 3 482799", "482799 3 160933", "160933 160933 1" ]

1754821

19 19 4861

[ "1754821 19 92359", "92359 19 4861", "4861 4861 1" ]

253941

3 47 1801

[ "253941 3 84647", "84647 47 1801", "1801 1801 1" ]

924135

3 5 61609

[ "924135 3 308045", "308045 5 61609", "61609 61609 1" ]

583616

2 2 2 2 2 2 11 829

[ "583616 2 291808", "291808 2 145904", "145904 2 72952", "72952 2 36476", "36476 2 18238", "18238 2 9119", "9119 11 829", "829 829 1" ]

3928648

2 2 2 491081

[ "3928648 2 1964324", "1964324 2 982162", "982162 2 491081", "491081 491081 1" ]

4078856

2 2 2 31 16447

[ "4078856 2 2039428", "2039428 2 1019714", "1019714 2 509857", "509857 31 16447", "16447 16447 1" ]

510475

5 5 7 2917

[ "510475 5 102095", "102095 5 20419", "20419 7 2917", "2917 2917 1" ]

1462246

2 787 929

[ "1462246 2 731123", "731123 787 929", "929 929 1" ]

1375197

3 458399

[ "1375197 3 458399", "458399 458399 1" ]

4398812

2 2 11 257 389

[ "4398812 2 2199406", "2199406 2 1099703", "1099703 11 99973", "99973 257 389", "389 389 1" ]

588454

2 294227

[ "588454 2 294227", "294227 294227 1" ]

733409

[ "733409 733409 1" ]

1082413

179 6047

[ "1082413 179 6047", "6047 6047 1" ]

864978

2 3 144163

[ "864978 2 432489", "432489 3 144163", "144163 144163 1" ]

1771158

2 3 163 1811

[ "1771158 2 885579", "885579 3 295193", "295193 163 1811", "1811 1811 1" ]

468169

13 36013

[ "468169 13 36013", "36013 36013 1" ]

568177

[ "568177 568177 1" ]

2483775

3 3 5 5 7 19 83

[ "2483775 3 827925", "827925 3 275975", "275975 5 55195", "55195 5 11039", "11039 7 1577", "1577 19 83", "83 83 1" ]

757495

5 151499

[ "757495 5 151499", "151499 151499 1" ]

4415577

3 41 35899

[ "4415577 3 1471859", "1471859 41 35899", "35899 35899 1" ]

4694425

5 5 19 9883

[ "4694425 5 938885", "938885 5 187777", "187777 19 9883", "9883 9883 1" ]

1061296

2 2 2 2 113 587

[ "1061296 2 530648", "530648 2 265324", "265324 2 132662", "132662 2 66331", "66331 113 587", "587 587 1" ]

4882085

5 13 75109

[ "4882085 5 976417", "976417 13 75109", "75109 75109 1" ]

566480

2 2 2 2 5 73 97

[ "566480 2 283240", "283240 2 141620", "141620 2 70810", "70810 2 35405", "35405 5 7081", "7081 73 97", "97 97 1" ]

406943

373 1091

[ "406943 373 1091", "1091 1091 1" ]

1944641

293 6637

[ "1944641 293 6637", "6637 6637 1" ]

2642750

2 5 5 5 11 31 31

[ "2642750 2 1321375", "1321375 5 264275", "264275 5 52855", "52855 5 10571", "10571 11 961", "961 31 31", "31 31 1" ]