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Assuming you mean factors and not prime factors, one method if the number is not very large (i.e. no more than about 1000), is to first find the square root of the number in question. Then divide the number by each number from 2 (since everything divides by 1) up to and including the square root but NOT over. Each time you get a whole number, the number you divided by and the whole number are 2 factors.

For example, take 960.

The square root is 30.98, therefore, we only go up to 30, since 31 is greater than the square root.

960 / 2 = 480

960 / 3 = 320

960 / 4 = 240

960 / 5 = 192

960 / 6 = 160

960 / 7 = 137.1429

960 / 8 = 120

960 / 9 = 106.6667

960 / 10 = 96

960 / 11 = 87.27273

960 / 12 = 80

960 / 13 = 73.84615

960 / 14 = 68.57143

960 / 15 = 64

960 / 16 = 60

960 / 17 = 56.47059

960 / 18 = 53.33333

960 / 19 = 50.52632

960 / 20 = 48

960 / 21 = 45.71429

960 / 22 = 43.63636

960 / 23 = 41.73913

960 / 24 = 40

960 / 25 = 38.4

960 / 26 = 36.92308

960 / 27 = 35.55556

960 / 28 = 34.28571

960 / 29 = 33.10345

960 / 30 = 32

From this list, we see that the only denominators that divide into 960 equally are 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24 and 30.

These are all factors of 960. The resulting quotients from dividing 960 into these factors will also be factors.

They can either be listed in pairs, or in ascending order. If you list them in ascending order, the denominators will be listed as above, but the quotients would be listed backwards. I.e. you'd do the result of 960 / 30, then 960 / 24, etc. Therefore, the factors if 960 are:

2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, and 480. You can also count 1, and 960 as being factors of 960.

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11y ago
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