Q: Is 102,102,000 a Prime Number?

 A: No, 102,102,000 is not a prime number.

Why is 102,102,000 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 102102000 can be evenly divided by 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 20 21 22 24 25 26 28 30 33 34 35 39 40 42 44 48 50 51 52 55 56 60 65 66 68 70 75 77 78 80 84 85 88 91 100 102 104 105 110 112 119 120 125 130 132 136 140 143 150 154 156 165 168 170 175 176 182 187 195 200 204 208 210 220 221 231 238 240 250 255 260 264 272 273 275 280 286 300 308 312 325 330 336 340 350 357 364 374 375 385 390 400 408 420 425 429 440 442 455 462 476 500 510 520 525 528 546 550 560 561 572 595 600 616 624 650 660 663 680 700 714 715 728 748 750 770 780 816 825 840 850 858 875 880 884 910 924 935 952 975 1,000 1,001 1,020 1,040 1,050 1,092 1,100 1,105 1,122 1,144 1,155 1,190 1,200 1,232 1,275 1,300 1,309 1,320 1,326 1,360 1,365 1,375 1,400 1,428 1,430 1,456 1,496 1,500 1,540 1,547 1,560 1,625 1,650 1,680 1,700 1,716 1,750 1,768 1,785 1,820 1,848 1,870 1,904 1,925 1,950 2,000 2,002 2,040 2,100 2,125 2,145 2,184 2,200 2,210 2,244 2,275 2,288 2,310 2,380 2,431 2,550 2,600 2,618 2,625 2,640 2,652 2,730 2,750 2,800 2,805 2,856 2,860 2,975 2,992 3,000 3,003 3,080 3,094 3,120 3,250 3,300 3,315 3,400 3,432 3,500 3,536 3,570 3,575 3,640 3,696 3,740 3,850 3,900 3,927 4,004 4,080 4,125 4,200 4,250 4,290 4,368 4,400 4,420 4,488 4,550 4,620 4,641 4,675 4,760 4,862 4,875 5,005 5,100 5,200 5,236 5,250 5,304 5,460 5,500 5,525 5,610 5,712 5,720 5,775 5,950 6,000 6,006 6,160 6,188 6,375 6,500 6,545 6,600 6,630 6,800 6,825 6,864 7,000 7,140 7,150 7,280 7,293 7,480 7,700 7,735 7,800 7,854 8,008 8,250 8,400 8,500 8,580 8,840 8,925 8,976 9,100 9,240 9,282 9,350 9,520 9,625 9,724 9,750 10,010 10,200 10,472 10,500 10,608 10,725 10,920 11,000 11,050 11,220 11,375 11,440 11,550 11,900 12,012 12,155 12,376 12,750 13,000 13,090 13,200 13,260 13,650 14,000 14,025 14,280 14,300 14,586 14,875 14,960 15,015 15,400 15,470 15,600 15,708 16,016 16,500 16,575 17,000 17,017 17,160 17,680 17,850 17,875 18,200 18,480 18,564 18,700 19,250 19,448 19,500 19,635 20,020 20,400 20,944 21,000 21,450 21,840 22,000 22,100 22,440 22,750 23,100 23,205 23,375 23,800 24,024 24,310 24,752 25,025 25,500 26,000 26,180 26,520 27,300 27,625 28,050 28,560 28,600 28,875 29,172 29,750 30,030 30,800 30,940 31,416 32,725 33,000 33,150 34,000 34,034 34,125 34,320 35,700 35,750 36,400 36,465 37,128 37,400 38,500 38,675 38,896 39,000 39,270 40,040 42,000 42,900 44,200 44,625 44,880 45,500 46,200 46,410 46,750 47,600 48,048 48,620 50,050 51,000 51,051 52,360 53,040 53,625 54,600 55,250 56,100 57,200 57,750 58,344 59,500 60,060 60,775 61,880 62,832 65,450 66,000 66,300 68,068 68,250 70,125 71,400 71,500 72,930 74,256 74,800 75,075 77,000 77,350 78,000 78,540 80,080 82,875 85,085 85,800 88,400 89,250 91,000 92,400 92,820 93,500 97,240 98,175 100,100 102,000 102,102 104,720 107,250 109,200 110,500 112,200 115,500 116,025 116,688 119,000 120,120 121,550 123,760 125,125 130,900 132,600 136,136 136,500 140,250 142,800 143,000 145,860 150,150 154,000 154,700 157,080 163,625 165,750 170,170 171,600 178,500 182,000 182,325 185,640 187,000 193,375 194,480 196,350 200,200 204,204 214,500 221,000 224,400 231,000 232,050 238,000 240,240 243,100 250,250 255,255 261,800 265,200 272,272 273,000 280,500 286,000 291,720 300,300 303,875 309,400 314,160 327,250 331,500 340,340 357,000 364,650 371,280 374,000 375,375 386,750 392,700 400,400 408,408 425,425 429,000 442,000 462,000 464,100 486,200 490,875 500,500 510,510 523,600 546,000 561,000 580,125 583,440 600,600 607,750 618,800 654,500 663,000 680,680 714,000 729,300 750,750 773,500 785,400 816,816 850,850 858,000 911,625 928,200 972,400 981,750 1,001,000 1,021,020 1,122,000 1,160,250 1,201,200 1,215,500 1,276,275 1,309,000 1,326,000 1,361,360 1,458,600 1,501,500 1,547,000 1,570,800 1,701,700 1,823,250 1,856,400 1,963,500 2,002,000 2,042,040 2,127,125 2,320,500 2,431,000 2,552,550 2,618,000 2,917,200 3,003,000 3,094,000 3,403,400 3,646,500 3,927,000 4,084,080 4,254,250 4,641,000 4,862,000 5,105,100 6,006,000 6,381,375 6,806,800 7,293,000 7,854,000 8,508,500 9,282,000 10,210,200 12,762,750 14,586,000 17,017,000 20,420,400 25,525,500 34,034,000 51,051,000 and 102,102,000, with no remainder.

Since 102,102,000 cannot be divided by just 1 and 102,102,000, 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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