Q: Is 420,012,000 a Prime Number?

 A: No, 420,012,000 is not a prime number.

Why is 420,012,000 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 420012000 can be evenly divided by 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 125 135 144 150 160 180 200 216 225 240 250 270 288 300 360 375 400 432 450 480 500 540 600 675 720 750 800 864 900 1,000 1,080 1,125 1,200 1,350 1,440 1,500 1,800 2,000 2,160 2,250 2,400 2,700 3,000 3,375 3,600 3,889 4,000 4,320 4,500 5,400 6,000 6,750 7,200 7,778 9,000 10,800 11,667 12,000 13,500 15,556 18,000 19,445 21,600 23,334 27,000 31,112 35,001 36,000 38,890 46,668 54,000 58,335 62,224 70,002 77,780 93,336 97,225 105,003 108,000 116,670 124,448 140,004 155,560 175,005 186,672 194,450 210,006 233,340 280,008 291,675 311,120 350,010 373,344 388,900 420,012 466,680 486,125 525,015 560,016 583,350 622,240 700,020 777,800 840,024 875,025 933,360 972,250 1,050,030 1,120,032 1,166,700 1,400,040 1,458,375 1,555,600 1,680,048 1,750,050 1,866,720 1,944,500 2,100,060 2,333,400 2,625,075 2,800,080 2,916,750 3,111,200 3,360,096 3,500,100 3,889,000 4,200,120 4,375,125 4,666,800 5,250,150 5,600,160 5,833,500 7,000,200 7,778,000 8,400,240 8,750,250 9,333,600 10,500,300 11,667,000 13,125,375 14,000,400 15,556,000 16,800,480 17,500,500 21,000,600 23,334,000 26,250,750 28,000,800 35,001,000 42,001,200 46,668,000 52,501,500 70,002,000 84,002,400 105,003,000 140,004,000 210,006,000 and 420,012,000, with no remainder.

Since 420,012,000 cannot be divided by just 1 and 420,012,000, 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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