What are the factors of 64?

Factors of 64 are 1, 2, 4, 8, 16, 32 and 64.

Factors of a number, x, do not leave a remainder when divided from x or, in other words, they perfectly divide x. Also, they are always less than x.

To find the factors of 64, we start from 1 and divide 64 by consecutive numbers such as by 1, 2, 3....
We only keep those numbers that divide 64 perfectly, without leaving a remainder.
In this process, the quotient of the division is also a factor of 64.

64 ÷ 1 = 64, so 1 and 64 are factors of 64.
64 ÷ 2 = 32, so are 2 and 32.
64 ÷ 3 = 21.33, so 3 is not a factor of 64 as the quotient contains decimal values.
64 ÷ 4 = 16, so 4 and 16 are factors of 64.

Continuing this, we can see that none of 5, 6, or 7 divide 64 perfectly and so, are not factors of 64.
8 divides 64 perfectly leaving a quotient of 8, so 8 is a factor of 64. No other number up to 64 divides 64 perfectly, except for the ones that we calculated.

Using the results from above, factors of 64 are 1, 2, 4, 8, 16, 32 and 64.