Factors of 9971

13, 59. As a product: 13^2 × 59.

The factors of 9971 are 1, 13, 59, 169, 767, 9971. It has 6 factors.

Factors of 9971

Pick any whole number from 1 to 10,000.

9971 = 13^{2} \times 59

How to work it out

1
A factor of 9971 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9971 ≈ 99.85; 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.
$9971 = 13^{2} \times 59$
4
Add all the factors: 1 + 13 + 59 + 169 + 767 + 9971 = 10980. Without 9971 itself that is 1009, so 9971 is a deficient number.

LaTeX source of the formulas on this page

\[ 9971 = 13^{2} \times 59 \]

What are the factors of 9971?

The factors of 9971 are 1, 13, 59, 169, 767, 9971. It has 6 factors.

What are the prime factors of 9971?

13, 59. As a product: $13^{2}$ × 59.

How many factors does 9971 have?

9971 has 6 factors (3 factor pairs).

What is the sum of the factors of 9971?

10980.

Is 9971 a prime number?

No. It is divisible by 13, so 9971 = 13 × 767.