yimingzhang/prime-factorization · Datasets at Hugging Face

input stringlengths 3 7	output stringlengths 3 41	step_by_step_solution listlengths 1 21
670484	2 2 167621	[ "670484 2 335242", "335242 2 167621", "167621 167621 1" ]
4801415	5 809 1187	[ "4801415 5 960283", "960283 809 1187", "1187 1187 1" ]
994147	7 11 12911	[ "994147 7 142021", "142021 11 12911", "12911 12911 1" ]
3640960	2 2 2 2 2 2 2 5 5689	[ "3640960 2 1820480", "1820480 2 910240", "910240 2 455120", "455120 2 227560", "227560 2 113780", "113780 2 56890", "56890 2 28445", "28445 5 5689", "5689 5689 1" ]
2847160	2 2 2 5 17 53 79	[ "2847160 2 1423580", "1423580 2 711790", "711790 2 355895", "355895 5 71179", "71179 17 4187", "4187 53 79", "79 79 1" ]
1403103	3 13 35977	[ "1403103 3 467701", "467701 13 35977", "35977 35977 1" ]
939582	2 3 3 7 7457	[ "939582 2 469791", "469791 3 156597", "156597 3 52199", "52199 7 7457", "7457 7457 1" ]
1664703	3 3 184967	[ "1664703 3 554901", "554901 3 184967", "184967 184967 1" ]
4718002	2 2359001	[ "4718002 2 2359001", "2359001 2359001 1" ]
473207	7 67601	[ "473207 7 67601", "67601 67601 1" ]
2516502	2 3 419417	[ "2516502 2 1258251", "1258251 3 419417", "419417 419417 1" ]
4576863	3 37 41233	[ "4576863 3 1525621", "1525621 37 41233", "41233 41233 1" ]
1199275	5 5 7 7 11 89	[ "1199275 5 239855", "239855 5 47971", "47971 7 6853", "6853 7 979", "979 11 89", "89 89 1" ]
3795107	761 4987	[ "3795107 761 4987", "4987 4987 1" ]
2122357	19 37 3019	[ "2122357 19 111703", "111703 37 3019", "3019 3019 1" ]
2230303	29 76907	[ "2230303 29 76907", "76907 76907 1" ]
3845451	3 17 75401	[ "3845451 3 1281817", "1281817 17 75401", "75401 75401 1" ]
2383778	2 19 62731	[ "2383778 2 1191889", "1191889 19 62731", "62731 62731 1" ]
832049	71 11719	[ "832049 71 11719", "11719 11719 1" ]
4548532	2 2 293 3881	[ "4548532 2 2274266", "2274266 2 1137133", "1137133 293 3881", "3881 3881 1" ]
4684958	2 2342479	[ "4684958 2 2342479", "2342479 2342479 1" ]
1267324	2 2 37 8563	[ "1267324 2 633662", "633662 2 316831", "316831 37 8563", "8563 8563 1" ]
1809980	2 2 5 90499	[ "1809980 2 904990", "904990 2 452495", "452495 5 90499", "90499 90499 1" ]
1555167	3 518389	[ "1555167 3 518389", "518389 518389 1" ]
601317	3 3 3 22271	[ "601317 3 200439", "200439 3 66813", "66813 3 22271", "22271 22271 1" ]
2120249	2120249	[ "2120249 2120249 1" ]
4085571	3 7 7 27793	[ "4085571 3 1361857", "1361857 7 194551", "194551 7 27793", "27793 27793 1" ]
58367	58367	[ "58367 58367 1" ]
1673893	13 128761	[ "1673893 13 128761", "128761 128761 1" ]
2137231	37 47 1229	[ "2137231 37 57763", "57763 47 1229", "1229 1229 1" ]
2583952	2 2 2 2 7 23071	[ "2583952 2 1291976", "1291976 2 645988", "645988 2 322994", "322994 2 161497", "161497 7 23071", "23071 23071 1" ]
573397	11 52127	[ "573397 11 52127", "52127 52127 1" ]
2533673	2533673	[ "2533673 2533673 1" ]
2620528	2 2 2 2 23 7121	[ "2620528 2 1310264", "1310264 2 655132", "655132 2 327566", "327566 2 163783", "163783 23 7121", "7121 7121 1" ]
1462692	2 2 3 7 11 1583	[ "1462692 2 731346", "731346 2 365673", "365673 3 121891", "121891 7 17413", "17413 11 1583", "1583 1583 1" ]
4636150	2 5 5 92723	[ "4636150 2 2318075", "2318075 5 463615", "463615 5 92723", "92723 92723 1" ]
3258035	5 11 37 1601	[ "3258035 5 651607", "651607 11 59237", "59237 37 1601", "1601 1601 1" ]
4478444	2 2 1119611	[ "4478444 2 2239222", "2239222 2 1119611", "1119611 1119611 1" ]
3985466	2 1992733	[ "3985466 2 1992733", "1992733 1992733 1" ]
1820127	3 29 20921	[ "1820127 3 606709", "606709 29 20921", "20921 20921 1" ]
2104309	547 3847	[ "2104309 547 3847", "3847 3847 1" ]
2518904	2 2 2 461 683	[ "2518904 2 1259452", "1259452 2 629726", "629726 2 314863", "314863 461 683", "683 683 1" ]
4904653	13 17 22193	[ "4904653 13 377281", "377281 17 22193", "22193 22193 1" ]
3018662	2 1509331	[ "3018662 2 1509331", "1509331 1509331 1" ]
1700157	3 566719	[ "1700157 3 566719", "566719 566719 1" ]
88603	251 353	[ "88603 251 353", "353 353 1" ]
3399009	3 23 49261	[ "3399009 3 1133003", "1133003 23 49261", "49261 49261 1" ]
4503068	2 2 1125767	[ "4503068 2 2251534", "2251534 2 1125767", "1125767 1125767 1" ]
2752702	2 241 5711	[ "2752702 2 1376351", "1376351 241 5711", "5711 5711 1" ]
16994	2 29 293	[ "16994 2 8497", "8497 29 293", "293 293 1" ]
1236318	2 3 37 5569	[ "1236318 2 618159", "618159 3 206053", "206053 37 5569", "5569 5569 1" ]
1740867	3 31 18719	[ "1740867 3 580289", "580289 31 18719", "18719 18719 1" ]
1102718	2 53 101 103	[ "1102718 2 551359", "551359 53 10403", "10403 101 103", "103 103 1" ]
3736630	2 5 37 10099	[ "3736630 2 1868315", "1868315 5 373663", "373663 37 10099", "10099 10099 1" ]
2680383	3 29 30809	[ "2680383 3 893461", "893461 29 30809", "30809 30809 1" ]
3633780	2 2 3 5 71 853	[ "3633780 2 1816890", "1816890 2 908445", "908445 3 302815", "302815 5 60563", "60563 71 853", "853 853 1" ]
1344066	2 3 224011	[ "1344066 2 672033", "672033 3 224011", "224011 224011 1" ]
3033605	5 606721	[ "3033605 5 606721", "606721 606721 1" ]
4212039	3 13 17 6353	[ "4212039 3 1404013", "1404013 13 108001", "108001 17 6353", "6353 6353 1" ]
729241	71 10271	[ "729241 71 10271", "10271 10271 1" ]
4535	5 907	[ "4535 5 907", "907 907 1" ]
2202949	7 314707	[ "2202949 7 314707", "314707 314707 1" ]
3757715	5 13 13 4447	[ "3757715 5 751543", "751543 13 57811", "57811 13 4447", "4447 4447 1" ]
1378299	3 13 59 599	[ "1378299 3 459433", "459433 13 35341", "35341 59 599", "599 599 1" ]
2766659	7 79 5003	[ "2766659 7 395237", "395237 79 5003", "5003 5003 1" ]
2505165	3 5 13 29 443	[ "2505165 3 835055", "835055 5 167011", "167011 13 12847", "12847 29 443", "443 443 1" ]
667585	5 31 59 73	[ "667585 5 133517", "133517 31 4307", "4307 59 73", "73 73 1" ]
4165299	3 3 29 15959	[ "4165299 3 1388433", "1388433 3 462811", "462811 29 15959", "15959 15959 1" ]
2366593	313 7561	[ "2366593 313 7561", "7561 7561 1" ]
713070	2 3 3 3 5 19 139	[ "713070 2 356535", "356535 3 118845", "118845 3 39615", "39615 3 13205", "13205 5 2641", "2641 19 139", "139 139 1" ]
4448445	3 5 296563	[ "4448445 3 1482815", "1482815 5 296563", "296563 296563 1" ]
59272	2 2 2 31 239	[ "59272 2 29636", "29636 2 14818", "14818 2 7409", "7409 31 239", "239 239 1" ]
4242916	2 2 61 17389	[ "4242916 2 2121458", "2121458 2 1060729", "1060729 61 17389", "17389 17389 1" ]
1103681	43 25667	[ "1103681 43 25667", "25667 25667 1" ]
3812762	2 1906381	[ "3812762 2 1906381", "1906381 1906381 1" ]
3705077	3705077	[ "3705077 3705077 1" ]
2978849	317 9397	[ "2978849 317 9397", "9397 9397 1" ]
4239827	67 63281	[ "4239827 67 63281", "63281 63281 1" ]
1911231	3 3 7 23 1319	[ "1911231 3 637077", "637077 3 212359", "212359 7 30337", "30337 23 1319", "1319 1319 1" ]
487854	2 3 3 27103	[ "487854 2 243927", "243927 3 81309", "81309 3 27103", "27103 27103 1" ]
589126	2 294563	[ "589126 2 294563", "294563 294563 1" ]
1963515	3 5 223 587	[ "1963515 3 654505", "654505 5 130901", "130901 223 587", "587 587 1" ]
3675608	2 2 2 31 14821	[ "3675608 2 1837804", "1837804 2 918902", "918902 2 459451", "459451 31 14821", "14821 14821 1" ]
4807536	2 2 2 2 3 47 2131	[ "4807536 2 2403768", "2403768 2 1201884", "1201884 2 600942", "600942 2 300471", "300471 3 100157", "100157 47 2131", "2131 2131 1" ]
1538549	463 3323	[ "1538549 463 3323", "3323 3323 1" ]
4534332	2 2 3 11 34351	[ "4534332 2 2267166", "2267166 2 1133583", "1133583 3 377861", "377861 11 34351", "34351 34351 1" ]
4959401	41 73 1657	[ "4959401 41 120961", "120961 73 1657", "1657 1657 1" ]
3640190	2 5 313 1163	[ "3640190 2 1820095", "1820095 5 364019", "364019 313 1163", "1163 1163 1" ]
4162382	2 7 17 17489	[ "4162382 2 2081191", "2081191 7 297313", "297313 17 17489", "17489 17489 1" ]
2562890	2 5 11 23 1013	[ "2562890 2 1281445", "1281445 5 256289", "256289 11 23299", "23299 23 1013", "1013 1013 1" ]
4439593	37 97 1237	[ "4439593 37 119989", "119989 97 1237", "1237 1237 1" ]
4056692	2 2 1014173	[ "4056692 2 2028346", "2028346 2 1014173", "1014173 1014173 1" ]
4815113	19 253427	[ "4815113 19 253427", "253427 253427 1" ]
426263	401 1063	[ "426263 401 1063", "1063 1063 1" ]
1655270	2 5 165527	[ "1655270 2 827635", "827635 5 165527", "165527 165527 1" ]
3505925	5 5 140237	[ "3505925 5 701185", "701185 5 140237", "140237 140237 1" ]
510362	2 255181	[ "510362 2 255181", "255181 255181 1" ]
2511547	2511547	[ "2511547 2511547 1" ]
4012073	13 308621	[ "4012073 13 308621", "308621 308621 1" ]
3936742	2 751 2621	[ "3936742 2 1968371", "1968371 751 2621", "2621 2621 1" ]

670484

2 2 167621

[ "670484 2 335242", "335242 2 167621", "167621 167621 1" ]

4801415

5 809 1187

[ "4801415 5 960283", "960283 809 1187", "1187 1187 1" ]

994147

7 11 12911

[ "994147 7 142021", "142021 11 12911", "12911 12911 1" ]

3640960

2 2 2 2 2 2 2 5 5689

[ "3640960 2 1820480", "1820480 2 910240", "910240 2 455120", "455120 2 227560", "227560 2 113780", "113780 2 56890", "56890 2 28445", "28445 5 5689", "5689 5689 1" ]

2847160

2 2 2 5 17 53 79

[ "2847160 2 1423580", "1423580 2 711790", "711790 2 355895", "355895 5 71179", "71179 17 4187", "4187 53 79", "79 79 1" ]

1403103

3 13 35977

[ "1403103 3 467701", "467701 13 35977", "35977 35977 1" ]

939582

2 3 3 7 7457

[ "939582 2 469791", "469791 3 156597", "156597 3 52199", "52199 7 7457", "7457 7457 1" ]

1664703

3 3 184967

[ "1664703 3 554901", "554901 3 184967", "184967 184967 1" ]

4718002

2 2359001

[ "4718002 2 2359001", "2359001 2359001 1" ]

473207

7 67601

[ "473207 7 67601", "67601 67601 1" ]

2516502

2 3 419417

[ "2516502 2 1258251", "1258251 3 419417", "419417 419417 1" ]

4576863

3 37 41233

[ "4576863 3 1525621", "1525621 37 41233", "41233 41233 1" ]

1199275

5 5 7 7 11 89

[ "1199275 5 239855", "239855 5 47971", "47971 7 6853", "6853 7 979", "979 11 89", "89 89 1" ]

3795107

761 4987

[ "3795107 761 4987", "4987 4987 1" ]

2122357

19 37 3019

[ "2122357 19 111703", "111703 37 3019", "3019 3019 1" ]

2230303

29 76907

[ "2230303 29 76907", "76907 76907 1" ]

3845451

3 17 75401

[ "3845451 3 1281817", "1281817 17 75401", "75401 75401 1" ]

2383778

2 19 62731

[ "2383778 2 1191889", "1191889 19 62731", "62731 62731 1" ]

832049

71 11719

[ "832049 71 11719", "11719 11719 1" ]

4548532

2 2 293 3881

[ "4548532 2 2274266", "2274266 2 1137133", "1137133 293 3881", "3881 3881 1" ]

4684958

2 2342479

[ "4684958 2 2342479", "2342479 2342479 1" ]

1267324

2 2 37 8563

[ "1267324 2 633662", "633662 2 316831", "316831 37 8563", "8563 8563 1" ]

1809980

2 2 5 90499

[ "1809980 2 904990", "904990 2 452495", "452495 5 90499", "90499 90499 1" ]

1555167

3 518389

[ "1555167 3 518389", "518389 518389 1" ]

601317

3 3 3 22271

[ "601317 3 200439", "200439 3 66813", "66813 3 22271", "22271 22271 1" ]

2120249

[ "2120249 2120249 1" ]

4085571

3 7 7 27793

[ "4085571 3 1361857", "1361857 7 194551", "194551 7 27793", "27793 27793 1" ]

58367

[ "58367 58367 1" ]

1673893

13 128761

[ "1673893 13 128761", "128761 128761 1" ]

2137231

37 47 1229

[ "2137231 37 57763", "57763 47 1229", "1229 1229 1" ]

2583952

2 2 2 2 7 23071

[ "2583952 2 1291976", "1291976 2 645988", "645988 2 322994", "322994 2 161497", "161497 7 23071", "23071 23071 1" ]

573397

11 52127

[ "573397 11 52127", "52127 52127 1" ]

2533673

[ "2533673 2533673 1" ]

2620528

2 2 2 2 23 7121

[ "2620528 2 1310264", "1310264 2 655132", "655132 2 327566", "327566 2 163783", "163783 23 7121", "7121 7121 1" ]

1462692

2 2 3 7 11 1583

[ "1462692 2 731346", "731346 2 365673", "365673 3 121891", "121891 7 17413", "17413 11 1583", "1583 1583 1" ]

4636150

2 5 5 92723

[ "4636150 2 2318075", "2318075 5 463615", "463615 5 92723", "92723 92723 1" ]

3258035

5 11 37 1601

[ "3258035 5 651607", "651607 11 59237", "59237 37 1601", "1601 1601 1" ]

4478444

2 2 1119611

[ "4478444 2 2239222", "2239222 2 1119611", "1119611 1119611 1" ]

3985466

2 1992733

[ "3985466 2 1992733", "1992733 1992733 1" ]

1820127

3 29 20921

[ "1820127 3 606709", "606709 29 20921", "20921 20921 1" ]

2104309

547 3847

[ "2104309 547 3847", "3847 3847 1" ]

2518904

2 2 2 461 683

[ "2518904 2 1259452", "1259452 2 629726", "629726 2 314863", "314863 461 683", "683 683 1" ]

4904653

13 17 22193

[ "4904653 13 377281", "377281 17 22193", "22193 22193 1" ]

3018662

2 1509331

[ "3018662 2 1509331", "1509331 1509331 1" ]

1700157

3 566719

[ "1700157 3 566719", "566719 566719 1" ]

88603

251 353

[ "88603 251 353", "353 353 1" ]

3399009

3 23 49261

[ "3399009 3 1133003", "1133003 23 49261", "49261 49261 1" ]

4503068

2 2 1125767

[ "4503068 2 2251534", "2251534 2 1125767", "1125767 1125767 1" ]

2752702

2 241 5711

[ "2752702 2 1376351", "1376351 241 5711", "5711 5711 1" ]

16994

2 29 293

[ "16994 2 8497", "8497 29 293", "293 293 1" ]

1236318

2 3 37 5569

[ "1236318 2 618159", "618159 3 206053", "206053 37 5569", "5569 5569 1" ]

1740867

3 31 18719

[ "1740867 3 580289", "580289 31 18719", "18719 18719 1" ]

1102718

2 53 101 103

[ "1102718 2 551359", "551359 53 10403", "10403 101 103", "103 103 1" ]

3736630

2 5 37 10099

[ "3736630 2 1868315", "1868315 5 373663", "373663 37 10099", "10099 10099 1" ]

2680383

3 29 30809

[ "2680383 3 893461", "893461 29 30809", "30809 30809 1" ]

3633780

2 2 3 5 71 853

[ "3633780 2 1816890", "1816890 2 908445", "908445 3 302815", "302815 5 60563", "60563 71 853", "853 853 1" ]

1344066

2 3 224011

[ "1344066 2 672033", "672033 3 224011", "224011 224011 1" ]

3033605

5 606721

[ "3033605 5 606721", "606721 606721 1" ]

4212039

3 13 17 6353

[ "4212039 3 1404013", "1404013 13 108001", "108001 17 6353", "6353 6353 1" ]

729241

71 10271

[ "729241 71 10271", "10271 10271 1" ]

4535

5 907

[ "4535 5 907", "907 907 1" ]

2202949

7 314707

[ "2202949 7 314707", "314707 314707 1" ]

3757715

5 13 13 4447

[ "3757715 5 751543", "751543 13 57811", "57811 13 4447", "4447 4447 1" ]

1378299

3 13 59 599

[ "1378299 3 459433", "459433 13 35341", "35341 59 599", "599 599 1" ]

2766659

7 79 5003

[ "2766659 7 395237", "395237 79 5003", "5003 5003 1" ]

2505165

3 5 13 29 443

[ "2505165 3 835055", "835055 5 167011", "167011 13 12847", "12847 29 443", "443 443 1" ]

667585

5 31 59 73

[ "667585 5 133517", "133517 31 4307", "4307 59 73", "73 73 1" ]

4165299

3 3 29 15959

[ "4165299 3 1388433", "1388433 3 462811", "462811 29 15959", "15959 15959 1" ]

2366593

313 7561

[ "2366593 313 7561", "7561 7561 1" ]

713070

2 3 3 3 5 19 139

[ "713070 2 356535", "356535 3 118845", "118845 3 39615", "39615 3 13205", "13205 5 2641", "2641 19 139", "139 139 1" ]

4448445

3 5 296563

[ "4448445 3 1482815", "1482815 5 296563", "296563 296563 1" ]

59272

2 2 2 31 239

[ "59272 2 29636", "29636 2 14818", "14818 2 7409", "7409 31 239", "239 239 1" ]

4242916

2 2 61 17389

[ "4242916 2 2121458", "2121458 2 1060729", "1060729 61 17389", "17389 17389 1" ]

1103681

43 25667

[ "1103681 43 25667", "25667 25667 1" ]

3812762

2 1906381

[ "3812762 2 1906381", "1906381 1906381 1" ]

3705077

[ "3705077 3705077 1" ]

2978849

317 9397

[ "2978849 317 9397", "9397 9397 1" ]

4239827

67 63281

[ "4239827 67 63281", "63281 63281 1" ]

1911231

3 3 7 23 1319

[ "1911231 3 637077", "637077 3 212359", "212359 7 30337", "30337 23 1319", "1319 1319 1" ]

487854

2 3 3 27103

[ "487854 2 243927", "243927 3 81309", "81309 3 27103", "27103 27103 1" ]

589126

2 294563

[ "589126 2 294563", "294563 294563 1" ]

1963515

3 5 223 587

[ "1963515 3 654505", "654505 5 130901", "130901 223 587", "587 587 1" ]

3675608

2 2 2 31 14821

[ "3675608 2 1837804", "1837804 2 918902", "918902 2 459451", "459451 31 14821", "14821 14821 1" ]

4807536

2 2 2 2 3 47 2131

[ "4807536 2 2403768", "2403768 2 1201884", "1201884 2 600942", "600942 2 300471", "300471 3 100157", "100157 47 2131", "2131 2131 1" ]

1538549

463 3323

[ "1538549 463 3323", "3323 3323 1" ]

4534332

2 2 3 11 34351

[ "4534332 2 2267166", "2267166 2 1133583", "1133583 3 377861", "377861 11 34351", "34351 34351 1" ]

4959401

41 73 1657

[ "4959401 41 120961", "120961 73 1657", "1657 1657 1" ]

3640190

2 5 313 1163

[ "3640190 2 1820095", "1820095 5 364019", "364019 313 1163", "1163 1163 1" ]

4162382

2 7 17 17489

[ "4162382 2 2081191", "2081191 7 297313", "297313 17 17489", "17489 17489 1" ]

2562890

2 5 11 23 1013

[ "2562890 2 1281445", "1281445 5 256289", "256289 11 23299", "23299 23 1013", "1013 1013 1" ]

4439593

37 97 1237

[ "4439593 37 119989", "119989 97 1237", "1237 1237 1" ]

4056692

2 2 1014173

[ "4056692 2 2028346", "2028346 2 1014173", "1014173 1014173 1" ]

4815113

19 253427

[ "4815113 19 253427", "253427 253427 1" ]

426263

401 1063

[ "426263 401 1063", "1063 1063 1" ]

1655270

2 5 165527

[ "1655270 2 827635", "827635 5 165527", "165527 165527 1" ]

3505925

5 5 140237

[ "3505925 5 701185", "701185 5 140237", "140237 140237 1" ]

510362

2 255181

[ "510362 2 255181", "255181 255181 1" ]

2511547

[ "2511547 2511547 1" ]

4012073

13 308621

[ "4012073 13 308621", "308621 308621 1" ]

3936742

2 751 2621

[ "3936742 2 1968371", "1968371 751 2621", "2621 2621 1" ]