How do you write out factors for a number? - Answers

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.