Factors of 928

2, 29. As a product: 2^5 × 29.

The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928. It has 12 factors.

Factors of 928

Pick any whole number from 1 to 10,000.

928 = 2^{5} \times 29

How to work it out

1
A factor of 928 is a whole number that divides it with nothing left over. You only need to test the numbers up to √928 ≈ 30.46; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 12 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$928 = 2^{5} \times 29$
4
Add all the factors: 1 + 2 + 4 + 8 + 16 + 29 + 32 + 58 + 116 + 232 + 464 + 928 = 1890. Without 928 itself that is 962, so 928 is an abundant number.

LaTeX source of the formulas on this page

\[ 928 = 2^{5} \times 29 \]

What are the factors of 928?

The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928. It has 12 factors.

What are the prime factors of 928?

2, 29. As a product: $2^{5}$ × 29.

How many factors does 928 have?

928 has 12 factors (6 factor pairs).

What is the sum of the factors of 928?

1890.

Is 928 a prime number?

No. It is divisible by 2, so 928 = 2 × 464.