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# 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 6 2x3 7 Prime Number 8 2x2x2 9 3x3 10 2x5 11 Prime Number 12 2x2x3 13 Prime Number 14 2x7 15 3x5 16 2x2x2x2 17 Prime 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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