جدول تفكيك الأعداد الصحيحة الغاوسية
التفكيك

| المعيار | العدد الصحيح | العوامل |
| --- | --- | --- |
| 505 |  8+21i   12+19i   19+12i   21+8i |  i·(2−i)·(10+i)   i·(2−i)·(10−i)   (2+i)·(10+i)   (2+i)·(10−i) |
| 509 |  5+22i   22+5i | (p)  (p) |
| 512 |  16+16i |  (1+i)9 |
| 514 |  15+17i   17+15i |  (1+i)·(16+i)   (1+i)·(16−i) |
| 520 |  6+22i   14+18i   18+14i   22+6i |  (1+i)3·(2−i)·(3−2i)   −i·(1+i)3·(2−i)·(3+2i)   −i·(1+i)3·(2+i)·(3−2i)   −(1+i)3·(2+i)·(3+2i) |
| 521 |  11+20i   20+11i | (p)  (p) |
| 522 |  9+21i   21+9i |  (1+i)·3·(5+2i)   (1+i)·3·(5−2i) |
| 529 |  23 | (p) |
| 530 |  1+23i   13+19i   19+13i   23+i |  (1+i)·(2+i)·(7+2i)   (1+i)·(2+i)·(7−2i)   (1+i)·(2−i)·(7+2i)   (1+i)·(2−i)·(7−2i) |
| 533 |  2+23i   7+22i   22+7i   23+2i |  i·(3+2i)·(5−4i)   (3+2i)·(5+4i)   i·(3−2i)·(5−4i)   (3−2i)·(5+4i) |
| 538 |  3+23i   23+3i |  (1+i)·(13+10i)   (1+i)·(13−10i) |
| 541 |  10+21i   21+10i | (p)  (p) |
| 544 |  12+20i   20+12i |  −(1+i)5·(4+i)   −(1+i)5·(4−i) |
| 545 |  4+23i   16+17i   17+16i   23+4i |  i·(2−i)·(10+3i)   i·(2−i)·(10−3i)   (2+i)·(10+3i)   (2+i)·(10−3i) |
| 548 |  8+22i   22+8i |  (1+i)2·(11−4i)   −i·(1+i)2·(11+4i) |
| 549 |  15+18i   18+15i |  i·3·(6−5i)   3·(6+5i) |
| 554 |  5+23i   23+5i |  (1+i)·(14+9i)   (1+i)·(14−9i) |
| 557 |  14+19i   19+14i | (p)  (p) |
| 562 |  11+21i   21+11i |  (1+i)·(16+5i)   (1+i)·(16−5i) |
| 565 |  6+23i   9+22i   22+9i   23+6i |  i·(2+i)·(8−7i)   (2+i)·(8+7i)   i·(2−i)·(8−7i)   (2−i)·(8+7i) |
| 569 |  13+20i   20+13i | (p)  (p) |
| 576 |  24 |  i·(1+i)6·3 |
| 577 |  1+24i   24+i | (p)  (p) |
| 578 |  7+23i   17+17i   23+7i |  (1+i)·(4+i)2   (1+i)·(4+i)·(4−i)   (1+i)·(4−i)2 |
| 580 |  2+24i   16+18i   18+16i   24+2i |  (1+i)2·(2−i)·(5+2i)   −i·(1+i)2·(2+i)·(5+2i)   (1+i)2·(2−i)·(5−2i)   −i·(1+i)2·(2+i)·(5−2i) |
| 584 |  10+22i   22+10i |  −i·(1+i)3·(8+3i)   −i·(1+i)3·(8−3i) |
| 585 |  3+24i   12+21i   21+12i   24+3i |  i·(2+i)·3·(3−2i)   (2+i)·3·(3+2i)   i·(2−i)·3·(3−2i)   (2−i)·3·(3+2i) |
| 586 |  15+19i   19+15i |  (1+i)·(17+2i)   (1+i)·(17−2i) |
| 592 |  4+24i   24+4i |  −i·(1+i)4·(6−i)   −(1+i)4·(6+i) |
| 593 |  8+23i   23+8i | (p)  (p) |
| 596 |  14+20i   20+14i |  (1+i)2·(10−7i)   −i·(1+i)2·(10+7i) |
| 601 |  5+24i   24+5i | (p)  (p) |
| 605 |  11+22i   22+11i |  i·(2−i)·11   (2+i)·11 |
| 610 |  9+23i   13+21i   21+13i   23+9i |  i·(1+i)·(2−i)·(6−5i)   (1+i)·(2−i)·(6+5i)   (1+i)·(2+i)·(6−5i)   −i·(1+i)·(2+i)·(6+5i) |
| 612 |  6+24i   24+6i |  (1+i)2·3·(4−i)   −i·(1+i)2·3·(4+i) |
| 613 |  17+18i   18+17i | (p)  (p) |
| 617 |  16+19i   19+16i | (p)  (p) |
| 625 |  7+24i   15+20i   20+15i   24+7i   25 |  −(2−i)4   (2+i)3·(2−i)   i·(2+i)·(2−i)3   −i·(2+i)4   (2+i)2·(2−i)2 |
| 626 |  1+25i   25+i |  (1+i)·(13+12i)   (1+i)·(13−12i) |
| 628 |  12+22i   22+12i |  (1+i)2·(11−6i)   −i·(1+i)2·(11+6i) |
| 629 |  2+25i   10+23i   23+10i   25+2i |  i·(4−i)·(6+i)   i·(4−i)·(6−i)   (4+i)·(6+i)   (4+i)·(6−i) |
| 634 |  3+25i   25+3i |  (1+i)·(14+11i)   (1+i)·(14−11i) |
| 637 |  14+21i   21+14i |  i·(3−2i)·7   (3+2i)·7 |
| 640 |  8+24i   24+8i |  i·(1+i)7·(2+i)   i·(1+i)7·(2−i) |
| 641 |  4+25i   25+4i | (p)  (p) |
| 648 |  18+18i |  −i·(1+i)3·32 |
| 650 |  5+25i   11+23i   17+19i   19+17i   23+11i   25+5i |  (1+i)·(2+i)·(2−i)·(3+2i)   (1+i)·(2+i)2·(3−2i)   i·(1+i)·(2−i)2·(3−2i)   −i·(1+i)·(2+i)2·(3+2i)   (1+i)·(2−i)2·(3+2i)   (1+i)·(2+i)·(2−i)·(3−2i) |
| 653 |  13+22i   22+13i | (p)  (p) |
| 656 |  16+20i   20+16i |  −i·(1+i)4·(5−4i)   −(1+i)4·(5+4i) |
| 657 |  9+24i   24+9i |  i·3·(8−3i)   3·(8+3i) |
| 661 |  6+25i   25+6i | (p)  (p) |
| 666 |  15+21i   21+15i |  (1+i)·3·(6+i)   (1+i)·3·(6−i) |
| 673 |  12+23i   23+12i | (p)  (p) |
| 674 |  7+25i   25+7i |  (1+i)·(16+9i)   (1+i)·(16−9i) |
| 676 |  10+24i   24+10i   26 |  −i·(1+i)2·(3+2i)2   (1+i)2·(3−2i)2   −i·(1+i)2·(3+2i)·(3−2i) |
| 677 |  1+26i   26+i | (p)  (p) |
| 680 |  2+26i   14+22i   22+14i   26+2i |  −i·(1+i)3·(2+i)·(4+i)   −i·(1+i)3·(2+i)·(4−i)   −i·(1+i)3·(2−i)·(4+i)   −i·(1+i)3·(2−i)·(4−i) |
| 685 |  3+26i   18+19i   19+18i   26+3i |  i·(2−i)·(11+4i)   (2+i)·(11+4i)   i·(2−i)·(11−4i)   (2+i)·(11−4i) |
| 689 |  8+25i   17+20i   20+17i   25+8i |  i·(3−2i)·(7+2i)   (3+2i)·(7+2i)   i·(3−2i)·(7−2i)   (3+2i)·(7−2i) |
| 692 |  4+26i   26+4i |  (1+i)2·(13−2i)   −i·(1+i)2·(13+2i) |
| 697 |  11+24i   16+21i   21+16i   24+11i |  i·(4+i)·(5−4i)   (4+i)·(5+4i)   i·(4−i)·(5−4i)   (4−i)·(5+4i) |
| 698 |  13+23i   23+13i |  (1+i)·(18+5i)   (1+i)·(18−5i) |
| 701 |  5+26i   26+5i | (p)  (p) |
| 706 |  9+25i   25+9i |  (1+i)·(17+8i)   (1+i)·(17−8i) |
| 709 |  15+22i   22+15i | (p)  (p) |
| 712 |  6+26i   26+6i |  −i·(1+i)3·(8+5i)   −i·(1+i)3·(8−5i) |
| 720 |  12+24i   24+12i |  −i·(1+i)4·(2−i)·3   −(1+i)4·(2+i)·3 |
| 722 |  19+19i |  (1+i)·19 |
| 724 |  18+20i   20+18i |  (1+i)2·(10−9i)   −i·(1+i)2·(10+9i) |
| 725 |  7+26i   10+25i   14+23i   23+14i   25+10i   26+7i |  (2+i)2·(5+2i)   i·(2+i)·(2−i)·(5−2i)   i·(2−i)2·(5+2i)   (2+i)2·(5−2i)   (2+i)·(2−i)·(5+2i)   i·(2−i)2·(5−2i) |
| 729 |  27 |  33 |
| 730 |  1+27i   17+21i   21+17i   27+i |  i·(1+i)·(2−i)·(8−3i)   (1+i)·(2+i)·(8−3i)   (1+i)·(2−i)·(8+3i)   −i·(1+i)·(2+i)·(8+3i) |
| 733 |  2+27i   27+2i | (p)  (p) |
| 738 |  3+27i   27+3i |  (1+i)·3·(5+4i)   (1+i)·3·(5−4i) |
| 740 |  8+26i   16+22i   22+16i   26+8i |  (1+i)2·(2−i)·(6+i)   (1+i)2·(2−i)·(6−i)   −i·(1+i)2·(2+i)·(6+i)   −i·(1+i)2·(2+i)·(6−i) |
| 745 |  4+27i   13+24i   24+13i   27+4i |  i·(2+i)·(10−7i)   (2+i)·(10+7i)   i·(2−i)·(10−7i)   (2−i)·(10+7i) |
| 746 |  11+25i   25+11i |  (1+i)·(18+7i)   (1+i)·(18−7i) |
| المعيار | العدد الصحيح | العوامل |
| --- | --- | --- |
| 754 |  5+27i   15+23i   23+15i   27+5i |  i·(1+i)·(3−2i)·(5−2i)   (1+i)·(3+2i)·(5−2i)   (1+i)·(3−2i)·(5+2i)   −i·(1+i)·(3+2i)·(5+2i) |
| 757 |  9+26i   26+9i | (p)  (p) |
| 761 |  19+20i   20+19i | (p)  (p) |
| 765 |  6+27i   18+21i   21+18i   27+6i |  i·(2−i)·3·(4+i)   i·(2−i)·3·(4−i)   (2+i)·3·(4+i)   (2+i)·3·(4−i) |
| 769 |  12+25i   25+12i | (p)  (p) |
| 772 |  14+24i   24+14i |  (1+i)2·(12−7i)   −i·(1+i)2·(12+7i) |
| 773 |  17+22i   22+17i | (p)  (p) |
| 776 |  10+26i   26+10i |  −i·(1+i)3·(9+4i)   −i·(1+i)3·(9−4i) |
| 778 |  7+27i   27+7i |  (1+i)·(17+10i)   (1+i)·(17−10i) |
| 784 |  28 |  −(1+i)4·7 |
| 785 |  1+28i   16+23i   23+16i   28+i |  i·(2+i)·(11−6i)   (2+i)·(11+6i)   i·(2−i)·(11−6i)   (2−i)·(11+6i) |
| 788 |  2+28i   28+2i |  (1+i)2·(14−i)   −i·(1+i)2·(14+i) |
| 793 |  3+28i   8+27i   27+8i   28+3i |  i·(3+2i)·(6−5i)   (3+2i)·(6+5i)   i·(3−2i)·(6−5i)   (3−2i)·(6+5i) |
| 794 |  13+25i   25+13i |  (1+i)·(19+6i)   (1+i)·(19−6i) |
| 797 |  11+26i   26+11i | (p)  (p) |
| 800 |  4+28i   20+20i   28+4i |  −i·(1+i)5·(2−i)2   −(1+i)5·(2+i)·(2−i)   i·(1+i)5·(2+i)2 |
| 801 |  15+24i   24+15i |  i·3·(8−5i)   3·(8+5i) |
| 802 |  19+21i   21+19i |  (1+i)·(20+i)   (1+i)·(20−i) |
| 808 |  18+22i   22+18i |  −i·(1+i)3·(10+i)   −i·(1+i)3·(10−i) |
| 809 |  5+28i   28+5i | (p)  (p) |
| 810 |  9+27i   27+9i |  (1+i)·(2+i)·32   (1+i)·(2−i)·32 |
| 818 |  17+23i   23+17i |  (1+i)·(20+3i)   (1+i)·(20−3i) |
| 820 |  6+28i   12+26i   26+12i   28+6i |  (1+i)2·(2+i)·(5−4i)   −i·(1+i)2·(2+i)·(5+4i)   (1+i)2·(2−i)·(5−4i)   −i·(1+i)2·(2−i)·(5+4i) |
| 821 |  14+25i   25+14i | (p)  (p) |
| 829 |  10+27i   27+10i | (p)  (p) |
| 832 |  16+24i   24+16i |  −(1+i)6·(3−2i)   i·(1+i)6·(3+2i) |
| 833 |  7+28i   28+7i |  i·(4−i)·7   (4+i)·7 |
| 841 |  20+21i   21+20i   29 |  i·(5−2i)2   (5+2i)2   (5+2i)·(5−2i) |
| 842 |  1+29i   29+i |  (1+i)·(15+14i)   (1+i)·(15−14i) |
| 845 |  2+29i   13+26i   19+22i   22+19i   26+13i   29+2i |  −(2−i)·(3−2i)2   i·(2−i)·(3+2i)·(3−2i)   i·(2+i)·(3−2i)2   (2−i)·(3+2i)2   (2+i)·(3+2i)·(3−2i)   −i·(2+i)·(3+2i)2 |
| 848 |  8+28i   28+8i |  −i·(1+i)4·(7−2i)   −(1+i)4·(7+2i) |
| 850 |  3+29i   11+27i   15+25i   25+15i   27+11i   29+3i |  (1+i)·(2+i)2·(4−i)   i·(1+i)·(2−i)2·(4−i)   (1+i)·(2+i)·(2−i)·(4+i)   (1+i)·(2+i)·(2−i)·(4−i)   −i·(1+i)·(2+i)2·(4+i)   (1+i)·(2−i)2·(4+i) |
| 853 |  18+23i   23+18i | (p)  (p) |
| 857 |  4+29i   29+4i | (p)  (p) |
| 865 |  9+28i   17+24i   24+17i   28+9i |  i·(2−i)·(13+2i)   i·(2−i)·(13−2i)   (2+i)·(13+2i)   (2+i)·(13−2i) |
| 866 |  5+29i   29+5i |  (1+i)·(17+12i)   (1+i)·(17−12i) |
| 872 |  14+26i   26+14i |  −i·(1+i)3·(10+3i)   −i·(1+i)3·(10−3i) |
| 873 |  12+27i   27+12i |  i·3·(9−4i)   3·(9+4i) |
| 877 |  6+29i   29+6i | (p)  (p) |
| 881 |  16+25i   25+16i | (p)  (p) |
| 882 |  21+21i |  (1+i)·3·7 |
| 884 |  10+28i   20+22i   22+20i   28+10i |  (1+i)2·(3−2i)·(4+i)   −i·(1+i)2·(3+2i)·(4+i)   (1+i)2·(3−2i)·(4−i)   −i·(1+i)2·(3+2i)·(4−i) |
| 890 |  7+29i   19+23i   23+19i   29+7i |  i·(1+i)·(2−i)·(8−5i)   (1+i)·(2−i)·(8+5i)   (1+i)·(2+i)·(8−5i)   −i·(1+i)·(2+i)·(8+5i) |
| 898 |  13+27i   27+13i |  (1+i)·(20+7i)   (1+i)·(20−7i) |
| 900 |  18+24i   24+18i   30 |  −i·(1+i)2·(2+i)2·3   (1+i)2·(2−i)2·3   −i·(1+i)2·(2+i)·(2−i)·3 |
| 901 |  1+30i   15+26i   26+15i   30+i |  i·(4+i)·(7−2i)   i·(4−i)·(7−2i)   (4+i)·(7+2i)   (4−i)·(7+2i) |
| 904 |  2+30i   30+2i |  −i·(1+i)3·(8+7i)   −i·(1+i)3·(8−7i) |
| 905 |  8+29i   11+28i   28+11i   29+8i |  i·(2+i)·(10−9i)   (2+i)·(10+9i)   i·(2−i)·(10−9i)   (2−i)·(10+9i) |
| 909 |  3+30i   30+3i |  i·3·(10−i)   3·(10+i) |
| 914 |  17+25i   25+17i |  (1+i)·(21+4i)   (1+i)·(21−4i) |
| 916 |  4+30i   30+4i |  (1+i)2·(15−2i)   −i·(1+i)2·(15+2i) |
| 922 |  9+29i   29+9i |  (1+i)·(19+10i)   (1+i)·(19−10i) |
| 925 |  5+30i   14+27i   21+22i   22+21i   27+14i   30+5i |  i·(2+i)·(2−i)·(6−i)   (2+i)2·(6+i)   i·(2−i)2·(6+i)   (2+i)2·(6−i)   i·(2−i)2·(6−i)   (2+i)·(2−i)·(6+i) |
| 928 |  12+28i   28+12i |  −(1+i)5·(5+2i)   −(1+i)5·(5−2i) |
| 929 |  20+23i   23+20i | (p)  (p) |
| 932 |  16+26i   26+16i |  (1+i)2·(13−8i)   −i·(1+i)2·(13+8i) |
| 936 |  6+30i   30+6i |  −i·(1+i)3·3·(3+2i)   −i·(1+i)3·3·(3−2i) |
| 937 |  19+24i   24+19i | (p)  (p) |
| 941 |  10+29i   29+10i | (p)  (p) |
| 949 |  7+30i   18+25i   25+18i   30+7i |  i·(3−2i)·(8+3i)   (3+2i)·(8+3i)   i·(3−2i)·(8−3i)   (3+2i)·(8−3i) |
| 953 |  13+28i   28+13i | (p)  (p) |
| 954 |  15+27i   27+15i |  (1+i)·3·(7+2i)   (1+i)·3·(7−2i) |
| 961 |  31 | (p) |
| 962 |  1+31i   11+29i   29+11i   31+i |  (1+i)·(3+2i)·(6+i)   (1+i)·(3+2i)·(6−i)   (1+i)·(3−2i)·(6+i)   (1+i)·(3−2i)·(6−i) |
| 964 |  8+30i   30+8i |  (1+i)2·(15−4i)   −i·(1+i)2·(15+4i) |
| 965 |  2+31i   17+26i   26+17i   31+2i |  i·(2+i)·(12−7i)   (2+i)·(12+7i)   i·(2−i)·(12−7i)   (2−i)·(12+7i) |
| 968 |  22+22i |  −i·(1+i)3·11 |
| 970 |  3+31i   21+23i   23+21i   31+3i |  i·(1+i)·(2−i)·(9−4i)   (1+i)·(2+i)·(9−4i)   (1+i)·(2−i)·(9+4i)   −i·(1+i)·(2+i)·(9+4i) |
| 976 |  20+24i   24+20i |  −i·(1+i)4·(6−5i)   −(1+i)4·(6+5i) |
| 977 |  4+31i   31+4i | (p)  (p) |
| 980 |  14+28i   28+14i |  (1+i)2·(2−i)·7   −i·(1+i)2·(2+i)·7 |
| 981 |  9+30i   30+9i |  i·3·(10−3i)   3·(10+3i) |
| 985 |  12+29i   16+27i   27+16i   29+12i |  i·(2−i)·(14+i)   i·(2−i)·(14−i)   (2+i)·(14+i)   (2+i)·(14−i) |
| 986 |  5+31i   19+25i   25+19i   31+5i |  (1+i)·(4+i)·(5+2i)   (1+i)·(4−i)·(5+2i)   (1+i)·(4+i)·(5−2i)   (1+i)·(4−i)·(5−2i) |
| 997 |  6+31i   31+6i | (p)  (p) |
| 1000 |  10+30i   18+26i   26+18i   30+10i |  −i·(1+i)3·(2+i)2·(2−i)   (1+i)3·(2−i)3   −(1+i)3·(2+i)3   −i·(1+i)3·(2+i)·(2−i)2 |