Factors of 8959

17, 31. As a product: 17^2 × 31.

The factors of 8959 are 1, 17, 31, 289, 527, 8959. It has 6 factors.

Factors of 8959

Pick any whole number from 1 to 10,000.

8959 = 17^{2} \times 31

How to work it out

1
A factor of 8959 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8959 ≈ 94.65; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 6 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$8959 = 17^{2} \times 31$
4
Add all the factors: 1 + 17 + 31 + 289 + 527 + 8959 = 9824. Without 8959 itself that is 865, so 8959 is a deficient number.

LaTeX source of the formulas on this page

\[ 8959 = 17^{2} \times 31 \]

What are the factors of 8959?

The factors of 8959 are 1, 17, 31, 289, 527, 8959. It has 6 factors.

What are the prime factors of 8959?

17, 31. As a product: $17^{2}$ × 31.

How many factors does 8959 have?

8959 has 6 factors (3 factor pairs).

What is the sum of the factors of 8959?

9824.

Is 8959 a prime number?

No. It is divisible by 17, so 8959 = 17 × 527.