Calculators

Math

Factors

48 is a highly composite number with 10 factors. It is the number of hours in two days. 48 is equivalent to 4 dozen and is one third of a gross (144).

All Factors

The factors of 48 are:  1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The prime factorization is: 48 = 2 x 2 x 2 x 2 x 3

Factoring of 48 Using Trial Division

Find the Factors of 48 :

• Calculate the square root of 48 which is 6.9282, and round it down to the closest whole number, 6, and use it in the next step.
• Test the integer values 1 through 6 for division into 48 where the remainder equals 0.
• We find 10 factors where the remainder of division is 0 and they are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Factor Pairs

1 × 48 = 48
2 × 24 = 48
3 × 16 = 48
4 × 12 = 48
6 × 8 = 48

The factor pairs (multiples) that equal 48 when multiplied together are: (1 and 48), (2 and 24), (3 and 16), (4 and 12), (6 and 8), which we found by matching up all factors of 48 which are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Is 48 Prime or Composite?

48 is a composite number. Since it has more than two factors, we know that 48 is not prime, it is composite. Prime numbers only have two factors. They are evenly divisible by only 1 and itself.