How do you find the factors of 216?

Answer 1

To get to the factors of 216, one should start by dividing by prime numbers until there are no longer any that are divisible.

Since 216 is even, we will start with 2 as follows:

216 / 2 = 108

108 / 2 = 54

54 / 2 = 27

27 is no longer divisible by two, so we will move into higher prime numbers as follows:

27 / 3 = 9

9 / 3 = 3

We have reduced 216 to primes using the following prime factorization:

2 * 2 * 2 * 3 * 3 *3

or

23 * 33

The factors of 216 are then computed by taking all of the combination of the prime factorization plus 1 as follows:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216