Calculators

Math

Factors

8 is the perfect cube of 2 × 2 × 2. It is also the basis of the US work day which is 8 hours long.

All Factors

The factors of 8 are:  1, 2, 4, 8

The prime factorization is: 8 = 2 x 2 x 2

Factoring of 8 Using Trial Division

Find the Factors of 8 :

• Calculate the square root of 8 which is 2.8284, and round it down to the closest whole number, 2, and use it in the next step.
• Test the integer values 1 through 2 for division into 8 where the remainder equals 0.
• We find 4 factors where the remainder of division is 0 and they are: 1, 2, 4, 8.

Factor Pairs

1 × 8 = 8
2 × 4 = 8

The factor pairs (multiples) that equal 8 when multiplied together are: (1 and 8), (2 and 4), which we found by matching up all factors of 8 which are: 1, 2, 4, 8.

Is 8 Prime or Composite?

8 is a composite number. Since it has more than two factors, we know that 8 is not prime, it is composite. Prime numbers only have two factors. They are evenly divisible by only 1 and itself.