Factors of 56

The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56. It has 8 factors.

Factors of 56

Pick any whole number from 1 to 10,000.

56 = 2^{3} \times 7

How to work it out

1
A factor of 56 is a whole number that divides it with nothing left over. You only need to test the numbers up to √56 ≈ 7.48; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 8 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$56 = 2^{3} \times 7$
4
Add all the factors: 1 + 2 + 4 + 7 + 8 + 14 + 28 + 56 = 120. Without 56 itself that is 64, so 56 is an abundant number.

LaTeX source of the formulas on this page

\[ 56 = 2^{3} \times 7 \]

What are the factors of 56?

The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56. It has 8 factors.

What are the prime factors of 56?

2, 7. As a product: $2^{3}$ × 7.

How many factors does 56 have?

56 has 8 factors (4 factor pairs).

What is the sum of the factors of 56?

120.

Is 56 a prime number?

No. It is divisible by 2, so 56 = 2 × 28.