Q: Is 231,231,000 a Prime Number?

 A: No, 231,231,000 is not a prime number.

Why is 231,231,000 not a prime number?

A prime number is a natural number, greater than one, that can only be divided by 1 and itself.

The number 231231000 can be evenly divided by 1 2 3 4 5 6 7 8 10 11 12 13 14 15 20 21 22 24 25 26 28 30 33 35 39 40 42 44 49 50 52 55 56 60 65 66 70 75 77 78 84 88 91 98 100 104 105 110 120 121 125 130 132 140 143 147 150 154 156 165 168 175 182 195 196 200 210 220 231 242 245 250 260 264 273 275 280 286 294 300 308 312 325 330 350 363 364 375 385 390 392 420 429 440 455 462 484 490 500 520 525 539 546 550 572 588 600 605 616 637 650 660 700 715 726 728 735 750 770 780 825 840 847 858 875 910 924 968 975 980 1,000 1,001 1,050 1,078 1,092 1,100 1,144 1,155 1,176 1,210 1,225 1,274 1,300 1,320 1,365 1,375 1,400 1,430 1,452 1,470 1,500 1,540 1,560 1,573 1,617 1,625 1,650 1,694 1,716 1,750 1,815 1,820 1,848 1,911 1,925 1,950 1,960 2,002 2,100 2,145 2,156 2,184 2,200 2,275 2,310 2,420 2,450 2,541 2,548 2,600 2,625 2,695 2,730 2,750 2,860 2,904 2,940 3,000 3,003 3,025 3,080 3,146 3,185 3,234 3,250 3,300 3,388 3,432 3,500 3,575 3,630 3,640 3,675 3,822 3,850 3,900 4,004 4,125 4,200 4,235 4,290 4,312 4,550 4,620 4,719 4,840 4,875 4,900 5,005 5,082 5,096 5,250 5,390 5,460 5,500 5,720 5,775 5,880 5,929 6,006 6,050 6,125 6,292 6,370 6,468 6,500 6,600 6,776 6,825 7,000 7,007 7,150 7,260 7,350 7,644 7,700 7,800 7,865 8,008 8,085 8,250 8,470 8,580 9,075 9,100 9,240 9,438 9,555 9,625 9,750 9,800 10,010 10,164 10,500 10,725 10,780 10,920 11,000 11,011 11,375 11,550 11,858 12,012 12,100 12,250 12,584 12,705 12,740 12,936 13,000 13,475 13,650 14,014 14,300 14,520 14,700 15,015 15,125 15,288 15,400 15,730 15,925 16,170 16,500 16,940 17,160 17,787 17,875 18,150 18,200 18,375 18,876 19,110 19,250 19,500 20,020 20,328 21,000 21,021 21,175 21,450 21,560 22,022 22,750 23,100 23,595 23,716 24,024 24,200 24,500 25,025 25,410 25,480 26,950 27,300 28,028 28,600 28,875 29,400 29,645 30,030 30,250 31,460 31,850 32,340 33,000 33,033 33,880 34,125 35,035 35,574 35,750 36,300 36,750 37,752 38,220 38,500 39,000 39,325 40,040 40,425 42,042 42,350 42,900 44,044 45,375 45,500 46,200 47,190 47,432 47,775 49,000 50,050 50,820 53,625 53,900 54,600 55,055 56,056 57,750 59,290 60,060 60,500 62,920 63,525 63,700 64,680 66,066 67,375 68,250 70,070 71,148 71,500 72,600 73,500 75,075 76,440 77,000 77,077 78,650 79,625 80,850 84,084 84,700 85,800 88,088 88,935 90,750 91,000 94,380 95,550 100,100 101,640 105,105 105,875 107,250 107,800 110,110 115,500 117,975 118,580 120,120 121,000 125,125 127,050 127,400 132,132 134,750 136,500 140,140 142,296 143,000 147,000 148,225 150,150 154,154 157,300 159,250 161,700 165,165 168,168 169,400 175,175 177,870 181,500 188,760 191,100 196,625 200,200 202,125 210,210 211,750 214,500 220,220 231,000 231,231 235,950 237,160 238,875 250,250 254,100 264,264 269,500 273,000 275,275 280,280 296,450 300,300 308,308 314,600 317,625 318,500 323,400 330,330 350,350 355,740 363,000 375,375 382,200 385,385 393,250 404,250 420,420 423,500 429,000 440,440 444,675 462,462 471,900 477,750 500,500 508,200 525,525 539,000 550,550 589,875 592,900 600,600 616,616 635,250 637,000 660,660 700,700 711,480 741,125 750,750 770,770 786,500 808,500 825,825 840,840 847,000 875,875 889,350 924,924 943,800 955,500 1,001,000 1,051,050 1,101,100 1,156,155 1,179,750 1,185,800 1,270,500 1,321,320 1,376,375 1,401,400 1,482,250 1,501,500 1,541,540 1,573,000 1,617,000 1,651,650 1,751,750 1,778,700 1,849,848 1,911,000 1,926,925 2,102,100 2,202,200 2,223,375 2,312,310 2,359,500 2,541,000 2,627,625 2,752,750 2,964,500 3,003,000 3,083,080 3,303,300 3,503,500 3,557,400 3,853,850 4,129,125 4,204,200 4,446,750 4,624,620 4,719,000 5,255,250 5,505,500 5,780,775 5,929,000 6,606,600 7,007,000 7,707,700 8,258,250 8,893,500 9,249,240 9,634,625 10,510,500 11,011,000 11,561,550 15,415,400 16,516,500 17,787,000 19,269,250 21,021,000 23,123,100 28,903,875 33,033,000 38,538,500 46,246,200 57,807,750 77,077,000 115,615,500 and 231,231,000, with no remainder.

Since 231,231,000 cannot be divided by just 1 and 231,231,000, it is not a prime number.


More Examples

  • All positive natural numbers are either a prime number or a composite number (except the number 1, which is neither).

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