Factors of 9872

2, 617. As a product: 2^4 × 617.

The factors of 9872 are 1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872. It has 10 factors.

Factors of 9872

Pick any whole number from 1 to 10,000.

9872 = 2^{4} \times 617

How to work it out

1
A factor of 9872 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9872 ≈ 99.36; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 10 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$9872 = 2^{4} \times 617$
4
Add all the factors: 1 + 2 + 4 + 8 + 16 + 617 + 1234 + 2468 + 4936 + 9872 = 19158. Without 9872 itself that is 9286, so 9872 is a deficient number.

LaTeX source of the formulas on this page

\[ 9872 = 2^{4} \times 617 \]

What are the factors of 9872?

The factors of 9872 are 1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872. It has 10 factors.

What are the prime factors of 9872?

2, 617. As a product: $2^{4}$ × 617.

How many factors does 9872 have?

9872 has 10 factors (5 factor pairs).

What is the sum of the factors of 9872?

19158.

Is 9872 a prime number?

No. It is divisible by 2, so 9872 = 2 × 4936.