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You are here: Index location The Database of Number Correlations location Prime Factors

Prime Factors

In number theory, the prime factors of a positive integer are the prime numbers that divide into that integer exactly, without leaving a remainder. I have made a table listing the prime factors for numbers up to 1000.(Soon to be expanded to 2000). Each number is clickable and has it's own page with other properties and facts about it. To find the prime factors for larger numbers try the Prime Factor Calculator.

n Prime
Factors
1 1
2 Prime Number
3 Prime Number
4 2x2
5 Prime Number
62x3
7 Prime Number
8 2x2x2
9 3x3
10 2x5
11Prime Number
122x2x3
13Prime Number
142x7
15 3x5
16 2x2x2x2
17Prime Number
18 2x3x3
19 Prime Number
20 2x2x5
21 3x7
22 2x11
23 Prime Number
24 2x2x2x3
25 5x5
26 2x13
27 3x3x3
28 2x2x7
29 Prime Number
30 2x3x5
31 Prime Number
32 2x2x2x2x2
33 3x11
34 2x17
35 5x7
36 2x2x3x3
37 Prime Number
38 2x19
39 3x13
40 2x2x2x5
41 Prime Number
42 2x3x7
43 Prime Number
44 2x2x11
45 3x3x5
46 2x23
47 Prime Number
48 2x2x2x2x3
49 7x7
50 2x5x5
51 3 x 17
52 2x3x13
53 Prime Number
54 2x3x3x3
55 5x11
56 2x2x2x7
57 3x19
58 2x29
59 Prime Number
60 2x2x3x5
61 Prime Number
62 2x31
63 3x3x7
64 2x2x2x2x2x2
65 5x13
66 2x3x11
67 Prime Number
68 2x3x11
69 3x23
70 2x5x7
71 Prime Number
72 2x2x2x3x3
73 Prime Number
74 2x37
75 3x5x5
76 2x2x19
77 7x11
78 2x3x13
79 Prime Number
80 2x2x2x2x5
81 3x3x3x3
82 2x41
83 Prime Number
84 2x2x3x7
85 5x17
86 2x43
87 3x29
88 2x2x2x11
89 Prime Number
90 2x3x3x5
91 7x13
92 2x2x23
93 3x31
94 2x47
95 5x19
96 2x2x2x2x2x3
97 Prime Number
98 2x7x7
99 3x3x11
100 2x2x5x5

101 Prime Number
102 2x3x17
103 Prime Number
104 2x2x2x13
105 3x5x7
106 2x53
107 Prime Number
108 2x2x3x3x3
109 Prime Number
110 2x5x11
111 3x37
112 2x2x2x2x7
113 Prime Number
114 2x3x19
115 5x23
116 2x2x29
117 3x3x13
118 2x59
119 7x17
120 2x2x2x3x5
121 11x11
122 2x61
123 3x41
124 2x2x31
125 5x5x5
126 2x3x3x7
127 Prime Number
128 2x2x2x2x2x2x2
129 3x43
130 2x5x13
131 Prime Number
132 2x2x3x11
133 7x19
134 2x67
135 3x3x3x5
136 2x2x2x17
137 Prime Number
138 2x3x23
139 Prime Number
140 2x2x5x7
141 3x47
142 2x71
143 11x13
144 2x2x2x2x3x3
145 5x29
146 2x73
147 3x7x7
148 2x2x37
149 Prime Number
150 2x3x5x5
151 Prime Number
152 2x2x2x19
153 3x3x17
154 2x7x11
155 5x31
156 2x2x3x13
157 Prime Number
158 2x79
159 3x53
160 2x2x2x2x2x5
161 7x23
162 2x3x3x3x3
163 Prime Number
164 2x2x41
165 3x5x11
166 2x83
167 Prime Number
168 2x2x2x3x7
169 13x13
170 2x5x17
171 3x3x19
172 2x2x43
173 Prime Number
174 2x3x29
175 5x5x7
176 2x2x2x2x11
177 3x59
178 2x89
179 Prime Number
180 2x2x3x3x5
181 Prime Number
182 2x7x13
183 3x61
184 2x2x2x23
185 5x37
186 2x3x31
187 11x17
188 2x2x47
189 3x3x3x7
190 2x5x19
191 Prime Number
192 2x2x2x2x2x2x3
193 Prime Number
194 2x97
195 3x5x13
196 2x2x7x7
197 Prime Number
198 2x3x3x11
199 Prime Number
200 2x2x2x3x3x5

201 3x67
202 2x101
203 7x29
204 2x2x3x17
205 5x41
206 2x103
207 3x3x23
208 2x2x2x2x13
209 11x19
210 2x3x5x7
211 Prime Number
212 2x2x53
213 3x71
214 2x107
215 5x43
216 2x2x2x3x3x3
217 7x31
218 2x109
219 3x73
220 2x2x5x11
221 13x17
222 2x3x37
223 Prime Number
224 2x2x2x2x2x7
225 3x3x5x5
226 2x113
227 Prime Number
228 2x2x3x19
229 Prime Number
230 2x5x23
231 3x7x11
232 2x2x2x29
233 Prime Number
234 2x3x3x13
235 5x47
236 2x2x59
237 3x79
238 2x7x17
239 Prime Number
240 2x2x2x2x3x5
241 Prime Number
242 2x11x11
243 3x3x3x3x3
244 2x2x61
245 5x7x7
246 2x3x41
247 13x19
248 2x2x2x31
249 3x83
250 2x5x5x5
251 Prime Number
252 2x2x3x3x7
253 11x23
254 2x127
255 3x3x17
256 2x2x2x2x2x2x2x2
257 Prime Number
258 2x3x43
259 7x37
260 2x2x5x13
261 3x3x29
262 2x131
263 Prime Number
264 2x2x2x3x11
265 5x53
266 2x7x19
267 3x89
268 2x2x68
269 Prime Number
270 2x3x3x3x5
271 Prime Number
272 2x2x2x2x17
273 3x7x13
274 2x137
275 5x5x11
276 2x2x3x23
277
278 2x139
279 3x3x31
280 2x2x2x5x7
281 Prime Number
282 2x3x47
283 Prime Number
284 2x2x71
285 3x5x19
286 2x11x13
287 7x41
288 2x2x2x2x2x3x3
289 17x17
290 2x5x29
291 3x97
292 2x2x73
293 Prime Number
294 2x3x7x7
295 5x59
296 2x2x2x37
297 3x3x3x11
298 2x149
299 13x23
300 2x2x3x5x5

301 7x43
302 2x151
303 3x101
304 2x2x2x2x19
305 5x61
306 2x3x3x17
307 Prime Number
308 2x2x7x11
309 3x103
310 2x5x31
311 Prime Number
312 2x2x2x3x13
313 Prime Number
314 2x157
315 3x3x5x7
316 2x2x79
317 Prime Number
318 2x3x53.

319 11x29
320 2x2x2x2x2x2x5
321 3x107
322 2x7x23
323 17x19
324 2x2x3x3x3x3
325 5x5x13
326 2x163
327 3x109
328 2x2x2x41
329 7x47
330 2x3x5x11
331 Prime Number
332 2x2x83
333 3x3x37
334 2x167
335 5x67
336 2x2x2x2x3x7
337 Prime Number
338 2x13x13
339 3x113
340 2x2x5x17
341 11x31
342 2x3x3x19
343 7x7x7
344 2x2x2x43
345 3x5x23
346 2x173
347 Prime Number
348 2x2x3x29
349 Prime Number
350 2x5x5x7
351 3x3x3x13
352 2x2x2x2x2x11
353 Prime Number
354 2x3x59
355 5x71
356 2x2x89
357 3x7x17
358 2x179
359 Prime Number
360 2x2x2x3x3x5
361 19x19
362 2x181
363 3x11x11
364 2x2x7x13
365 5x73
366 2x3x61
367 Prime Number
368 2x2x2x2x23
369 3x3x41
370 2x5x37
371 7x53
372 2x2x3x31
373 Prime Number
374 2x11x17
375 3x5x5x5
376 2x2x2x47
377 13x29
378 2x3x3x3x7
379 Prime Number
380 2x2x5x19
381 3x127
382 2x191
383 Prime Number
384 2x2x2x2x2x2x2x3
385 5x7x11
386 2x193
387 3x3x43
388 2x2x97
389 Prime Number
390 2x3x5x13
391 17x23
392 2x2x2x7x7
393 3x131
394 2x197
395 5x79
396 2x2x3x3x11
397 Prime Number
398 2x199
399 3x7x19
400 2x2x2x2x5x5

401 Prime Number
402 2x3x67
403 13x31
404 2x2x101
405 3x3x3x3x5
406 2x7x29
407 11x37
408 2x2x2x3x17
409 Prime Number
410 2x5x41
411 3x137
412 2x2x103
413 7x59
414 2x3x3x23
415 5x83
416 2x2x2x2x2x5
417 3x139
418 2x11x19
419 Prime Number
420 2x2x3x5x7
421 Prime Number
422 2x211
423 3x3x47
424 2x2x2x53
425 5x5x17
426 2x3x71
427 7x61
428 2x2x107
429 3x11x13
430 2x5x43
431 Prime Number
432 2x2x2x2x3x3x3
433 Prime Number
434 2x7x31
435 3x5x29
436 2x2x109
437 19x23
438 2x3x73
439 Prime Number
440 2x2x2x5x11
441 3x3x7x7
442 2x13x17
443 Prime Number
444 2x2x3x37
445 5x89
446 2x223
447 3x149
448 2x2x2x2x2x2x7
449 Prime Number
450 2x3x3x5x5
451 11x41
452 2x2x113
453 3x151
454 2x227
455 5x7x13
456 2x2x2x3x19
457 Prime Number
458 2x229
459 3x3x3x17
460 2x2x5x23
461 Prime Number
462 2x3x7x11
463 Prime Number
464 2x2x2x2x29
465 3x5x31
466 2x233
467 Prime Number
468 2x2x3x3x13
469 7x67
470 2x5x47
471 3x157
472 2x2x2x59
473 11x43
474 2x3x79
475 5x5x19
476 2x2x7x17
477 3x3x53
478 2x239
479 Prime Number
480 2x2x2x2x2x3x5
481 13x37
482 2x241
483 3x7x23
484 2x2x11x11
485 5x97
486 2x3x3x3x3x3
487 Prime Number
488 2x2x2x61
489 3x163
490 2x5x7x7
491 Prime Number
492 2x2x3x41
493 17x29
494 2x13x19
495 3x3x5x11
496 2x2x2x2x31
497 7x71
498 2x3x83
499 Prime Number
500 2x2x5x5x5

501 3x167
502 2x251
503 Prime Number
504 2x2x2x3x3x7
505 5x101
506 2x11x23
507 3x13x13
508 2x2x127
509 Prime Number
510 2x3x5x17
511 7x73
512 2x2x2x2x2x2x2x2x2
513 3x3x3x19
514 2x257
515 5x103
516 2x2x3x43
517 11x47
518 2x7x37
519 3x173
520 2x2x2x5x13
521 Prime Number
522 2x3x3x29
523 Prime Number
524 2x2x131
525 3x5x5x7
526 2x263
527 17x31
528 2x2x2x2x3x11
529 23x23
530 2x5x53
531 3x3x59
532 2x2x7x19
533 13x41
534 2x3x89
535 5x107
536 2x2x2x67
537 3x179
538 2x269
539 7x7x11
540 2x2x3x3x5
541 Prime Number
542 2x271
3x181
544 2x2x2x2x2x17
545 5x109
546 2x3x7x13
547 Prime Number
548 2x2x137
549 3x3x61
550 2x5x5x11
551 19x29
552 2x2x2x3x23
553 7x79
554 2x277
555 3x5x37
556 2x2x139
557 Prime Number
558 2x3x3x31
559 Prime Number
560 2x2x2x2x5x7
561 3x11x17
562 2x281
563 Prime Number
564 2x2x3x47
565 5x113
566 2x283
567 3x3x3x3x7
568 2x2x2x71
569 Prime Number
570 2x3x5x19
571 Prime Number
572 2x2x11x13
573 3x191
574 2x7x41
575 5x5x23
576 2x2x2x2x2x2x3x3
577 Prime Number
578 2x17x17
579 3x193
580 2x2x5x29
581 7x83
582 2x3x97
583 11x53
584 2x2x2x73
585 3x3x5x13
586 2x293
587 Prime Number
588 2x2x3x7x7
589 19x31
590 2x5x59
591 3x197
592 2x2x2x2x37
593 Prime Number
594 2x3x3x3x11
595 5x7x17
596 2x2x149
597 3x199
598 2x13x23
599 Prime Number
600 2x2x2x3x5x5

601 Prime Number
602 2x7x43
603 3x3x67
604 2x2x151
605 5x11x11
606 2x3x101
607 Prime Number
608 2x2x2x2x2x19
609 3x7x29
610 2x5x61
611 13x47
612 2x2x3x3x17
613 Prime Number
614 2x307
615 3x5x41
616 2x3x3x7x11
617 Prime Number
618 2x3x103
619 Prime Number
620 2x2x5x31
621 3x3x3x23
622 2x311
623 7x89
624 2x2x2x2x3x13
625 5x5x5x5
626 2x313
627 3x11x19
628 2x2x157
629 17x37
630 2x3x3x5x7
631 Prime Number
632 2x2x2x79
633 3x211
634 2x317
635 5x127
636 2x2x3x53
637 7x7x13
638 2x11x29
639 3x3x71
640 2x2x2x2x2x2x2x5
641 Prime Number
642 2x3x107
643 Prime Number
644 2x2x7x23
645 3x5x43
646 2x17x19
647 Prime Number
648 2x2x2x3x3x3x3
649 11x59
650 2x5x5x13
651 3x7x31
652 2x2x163
653 Prime Number
654 2x3x109
655 5x131
656 2x2x2x2x41
657 3x3x73
658 2x7x47
659 Prime Number
660 2x2x3x5x11
661 Prime Number
662 2x331
663 3x13x17
664 2x2x2x83
665 5x7x19
666 2x3x3x37
667 23x29
668 2x2x167
669 3x223
670 2x5x67
671 11x61
672 2x2x2x2x2x3x7
673 Prime Number
674 2x337
675 3x3x3x5x5
676 2x2x13x13
677 Prime Number
678 2x3x113
679 7x97
680 2x2x2x5x17
681 3x227
682 2x11x31
683 Prime Number
684 2x2x3x3x19
685 5x137
686 2x7x7x7
687 3x229
688 2x2x2x2x43
689 13x53
690 2x3x5x23
691 Prime Number
692 2x2x173
693 3x3x7x11
694 2x347
695 5x139
696 2x2x2x3x29
697 17x41
698 2x349
699 3x233
700 2x2x5x5x7

701 Prime Number
702 2x3x3x3x13
703 19x37
704 2x2x2x2x2x2x11
705 3x5x47
706 2x353
707 7x101
708 2x2x3x59
709 Prime Number
710 2x5x71
711 3x3x79
712 2x2x2x89
713 23x31
714 2x3x7x17
715 5x11x13
716 2x2x179
717 3x239
718 2x359
719 Prime Number
720 2x2x2x2x3x3x5
721 7x103
722 2x19x19
723 3x241
724 2x2x181
725 5x5x29
726 2x3x11x11
727 Prime Number
728 2x2x2x7x13
729 3x3x3x3x3x3
730 2x5x73
731 17x43
732 2x2x3x61
733 Prime Number
734 2x367
735 3x5x7x7
736 2x2x2x2x2x23
737 11x67
738 2x3x3x41
739 Prime Number
740 2x2x5x37
741 3x13x19
742 2x7x53
743 Prime Number
744 2x2x2x3x31
745 5x149
746 2x373
747 3x3x87
748 2x2x11x17
749 7x107
750 2x3x5x5x5
751 Prime Number
752 2x2x2x2x47
753 3x251
754 2x13x29
755 5x151
756 2x2x3x3x3x7
757 Prime Number
758 2x239
759 3x11x23
760 2x2x2x5x19
761 Prime Number
762 2x3x127
763 7x109
764 2x2x191
765 3x3x5x17
766 2x383
767 13x59
768 2x2x2x2x2x2x2x2x3
769 Prime Number
770 2x5x7x11
771 3x257
772 2x2x193
773 Prime Number
774 2x3x3x43
775 5x5x31
776 2x2x2x97
777 3x7x37
778 2x389
779 19x41
780 2x2x3x5x13
781 11x71
782 2x17x23
783 3x3x3x29
784 2x2x2x2x7x7
785 5x157
786 2x3x131
787 Prime Number
788 2x2x197
789 3x263
790 2x5x79
791 7x113
792 2x2x2x3x3x11
793 13x61
794 2x397
795 3x5x53
796 2x2x199
797 Prime Number
798 2x3x7x19
799 17x47
800 2x2x2x2x2x5x5

801 3x3x89
802 2x401
803 11x73
804 2x2x3x67
805 5x7x23
806 2x13x31
807 3x269
808 2x2x2x101
809 Prime Number
810 2x3x3x3x3x5
811 Prime Number
812 2x2x7x29
813 3x271
814 2x11x37
815 5x163
816 2x2x2x2x3x17
817 19x43
818 2x409
819 3x3x7x13
820 2x2x5x41
821 Prime Number
822 2x3x137
823 Prime Number
824 2x2x2x103
825 3x5x5x11
826 2x7x59
827 Prime Number
828 2x2x3x3x23
829 Prime Number
830 2x5x83
831 3x277
832 2x2x2x2x2x2x13
833 7x7x17
834 2x3x139
835 5x167
836 2x2x11x19
837 3x3x3x31
838 2x419
839 Prime Number
840 2x2x2x3x5x7
841 29x29
842 2x421
843 3x281
844 2x2x211
845 5x13x13
846 2x3x3x47
847 7x11x11
848 2x2x2x2x53
849 3x283
850 2x5x5x17
851 23x37
852 2x2x3x71
853 Prime Number
854 2x7x61
855 3x3x5x19
856 2x2x2x107
857 Prime Number
858 2x3x11x13
859 Prime Number
860 2x2x5x43
861 3x7x41
862 2x431
863 Prime Number
864 2x2x2x2x2x3x3x3
865 5x173
866 2x433
867 3x17x17
868 2x2x7x31
869 11x79
870 2x3x5x29
871 13x67
872 2x2x2x109
873 3x3x97
874 2x19x23
875 5x5x5x7
876 2x2x3x73
877 Prime Number
878 2x439
879 3x293
880 2x2x2x2x5x11
881 Prime Number
882 2x3x3x7x7
883 Prime Number
884 2x2x13x17
885 3x5x59
886 2x443
887 Prime Number
888 2x2x2x3x37
889 7x127
890 2x5x89
891 3x3x3x3x11
892 2x2x223
893 19x47
894 2x3x149
895 5x179
896 2x2x2x2x2x2x2x7
897 3x13x23
898 2x449
899 29x31
900 2x2x3x3x5x5

901 17x53
902 2x11x41
903 3x7x43
904 2x2x2x113
905 5x181
906 2x3x151
907 Prime Number
908 2x2x227
909 3x3x101
910 3x5x7x13
911 Prime Number
912 2x2x2x2x3x19
913 11x83
914 2x457
915 3x5x61
916 2x2x229
917 7x131
918 2x3x3x3x17
919 Prime Number
920 2x2x2x5x23
921 3x307
922 2x461
923 13x71
924 2x2x3x7x11
925 5x5x37
926 2x463
927 3x3x103
928 2x2x2x2x2x37
929 Prime Number
930 2x3x5x31
931 7x7x19
932 2x2x233
933 3x311
934 2x467
935 5x11x17
936 2x2x2x3x3x13
937 Prime Number
938 2x7x67
939 3x313
940 2x2x5x47
941 Prime Number
942 2x3x157
943 23x41
944 2x2x2x2x59
945 3x3x3x5x7
946 2x11x43
947 Prime Number
948 2x2x3x79
949 13x73
950 2x5x5x19
951 3x317
952 2x2x2x7x17
953 Prime Number
954 2x3x3x53
955 5x191
956 2x2x239
957 3x11x29
958 2x479
959 7x137
960 2x2x2x2x2x2x3x5
961 31x31
962 2x13x37
963 3x3x107
964 2x2x241
965 5x193
966 2x3x7x23
967 Prime Number
968 2x2x2x11x11
969 3x17x19
970 2x5x97
971 Prime Number
972 2x2x3x3x3x3x3
973 7x139
974 2x487
975 3x5x5x13
976 2x2x2x2x61
977 Prime Number
978 2x3x163
979 11x89
980 2x2x5x7x7
981 3x3x109
982 2x491
983 Prime Number
984 2x2x2x3x41
985 5x197
986 2x17x29
987 3x7x47
988 2x2x13x19
989 23x43
990 2x3x3x5x11
991 Prime Number
992 2x2x2x2x2x31
993 3x331
994 2x7x71
995 5x199
996 2x2x3x83
997 Prime Number
998 2x499
999 3x3x3x37
1000 2x2x2x5x5x5


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