Q: Is 310,424,400 a Composite Number?

Why is 310,424,400 a composite number?

A composite number is a number that can be divided evenly by more numbers than 1 and itself. It is the opposite of a prime number.

The number 310,424,400 can be evenly divided by 1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 33 36 39 40 44 45 48 50 52 54 55 60 65 66 67 72 75 78 80 81 88 90 99 100 104 108 110 117 120 130 132 134 135 143 144 150 156 162 165 176 180 195 198 200 201 208 216 220 225 234 240 260 264 268 270 275 286 297 300 312 324 325 330 335 351 360 390 396 400 402 405 429 432 440 450 468 495 520 528 536 540 550 572 585 594 600 603 624 648 650 660 670 675 702 715 720 737 780 792 804 810 825 858 871 880 891 900 936 975 990 1,005 1,040 1,053 1,072 1,080 1,100 1,144 1,170 1,188 1,200 1,206 1,287 1,296 1,300 1,320 1,340 1,350 1,404 1,430 1,474 1,485 1,560 1,584 1,608 1,620 1,650 1,675 1,716 1,742 1,755 1,782 1,800 1,809 1,872 1,950 1,980 2,010 2,025 2,106 2,145 2,160 2,200 2,211 2,288 2,340 2,376 2,412 2,475 2,574 2,600 2,613 2,640 2,680 2,700 2,808 2,860 2,925 2,948 2,970 3,015 3,120 3,216 3,240 3,300 3,350 3,432 3,484 3,510 3,564 3,575 3,600 3,618 3,685 3,861 3,900 3,960 4,020 4,050 4,212 4,290 4,355 4,400 4,422 4,455 4,680 4,752 4,824 4,950 5,025 5,148 5,200 5,226 5,265 5,360 5,400 5,427 5,616 5,720 5,850 5,896 5,940 6,030 6,435 6,480 6,600 6,633 6,700 6,864 6,968 7,020 7,128 7,150 7,236 7,370 7,425 7,722 7,800 7,839 7,920 8,040 8,100 8,424 8,580 8,710 8,775 8,844 8,910 9,045 9,360 9,581 9,648 9,900 10,050 10,296 10,452 10,530 10,725 10,800 10,854 11,055 11,440 11,583 11,700 11,792 11,880 12,060 12,870 13,065 13,200 13,266 13,400 13,936 14,040 14,256 14,300 14,472 14,740 14,850 15,075 15,444 15,600 15,678 16,080 16,200 16,848 17,160 17,420 17,550 17,688 17,820 18,090 18,425 19,162 19,305 19,800 19,899 20,100 20,592 20,904 21,060 21,450 21,708 21,775 22,110 22,275 23,166 23,400 23,517 23,760 24,120 25,740 26,130 26,325 26,532 26,800 27,135 28,080 28,600 28,743 28,944 29,480 29,700 30,150 30,888 31,356 32,175 32,400 33,165 34,320 34,840 35,100 35,376 35,640 36,180 36,850 38,324 38,610 39,195 39,600 39,798 40,200 41,808 42,120 42,900 43,416 43,550 44,220 44,550 45,225 46,332 46,800 47,034 47,905 48,240 51,480 52,260 52,650 53,064 54,270 55,275 57,200 57,486 57,915 58,960 59,400 59,697 60,300 61,776 62,712 64,350 65,325 66,330 69,680 70,200 70,551 71,280 72,360 73,700 76,648 77,220 78,390 79,596 80,400 84,240 85,800 86,229 86,832 87,100 88,440 89,100 90,450 92,664 94,068 95,810 96,525 99,495 102,960 104,520 105,300 106,128 108,540 110,550 114,972 115,830 117,585 118,800 119,394 120,600 125,424 128,700 130,650 132,660 135,675 140,400 141,102 143,715 144,720 147,400 153,296 154,440 156,780 159,192 165,825 171,600 172,458 174,200 176,880 178,200 180,900 185,328 188,136 191,620 193,050 195,975 198,990 209,040 210,600 217,080 221,100 229,944 231,660 235,170 238,788 239,525 241,200 257,400 258,687 261,300 265,320 271,350 282,204 287,430 289,575 294,800 298,485 308,880 313,560 318,384 331,650 344,916 348,400 352,755 356,400 361,800 376,272 383,240 386,100 391,950 397,980 421,200 431,145 434,160 442,200 459,888 463,320 470,340 477,576 479,050 497,475 514,800 517,374 522,600 530,640 542,700 564,408 574,860 579,150 587,925 596,970 627,120 663,300 689,832 705,510 718,575 723,600 766,480 772,200 776,061 783,900 795,960 862,290 884,400 926,640 940,680 955,152 958,100 994,950 1,034,748 1,045,200 1,085,400 1,128,816 1,149,720 1,158,300 1,175,850 1,193,940 1,293,435 1,326,600 1,379,664 1,411,020 1,437,150 1,492,425 1,544,400 1,552,122 1,567,800 1,591,920 1,724,580 1,763,775 1,881,360 1,916,200 1,989,900 2,069,496 2,155,725 2,170,800 2,299,440 2,316,600 2,351,700 2,387,880 2,586,870 2,653,200 2,822,040 2,874,300 2,984,850 3,104,244 3,135,600 3,449,160 3,527,550 3,832,400 3,880,305 3,979,800 4,138,992 4,311,450 4,633,200 4,703,400 4,775,760 5,173,740 5,644,080 5,748,600 5,969,700 6,208,488 6,467,175 6,898,320 7,055,100 7,760,610 7,959,600 8,622,900 9,406,800 10,347,480 11,497,200 11,939,400 12,416,976 12,934,350 14,110,200 15,521,220 17,245,800 19,401,525 20,694,960 23,878,800 25,868,700 28,220,400 31,042,440 34,491,600 38,803,050 51,737,400 62,084,880 77,606,100 103,474,800 155,212,200 and 310,424,400, with no remainder.

Since 310,424,400 cannot be divided by just 1 and 310,424,400, it is a composite number.

More Examples

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