Factors of 5872

2, 367. As a product: 2^4 × 367.

The factors of 5872 are 1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872. It has 10 factors.

Factors of 5872

Pick any whole number from 1 to 10,000.

5872 = 2^{4} \times 367

How to work it out

1
A factor of 5872 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5872 ≈ 76.63; 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.
$5872 = 2^{4} \times 367$
4
Add all the factors: 1 + 2 + 4 + 8 + 16 + 367 + 734 + 1468 + 2936 + 5872 = 11408. Without 5872 itself that is 5536, so 5872 is a deficient number.

LaTeX source of the formulas on this page

\[ 5872 = 2^{4} \times 367 \]

What are the factors of 5872?

The factors of 5872 are 1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872. It has 10 factors.

What are the prime factors of 5872?

2, 367. As a product: $2^{4}$ × 367.

How many factors does 5872 have?

5872 has 10 factors (5 factor pairs).

What is the sum of the factors of 5872?

11408.

Is 5872 a prime number?

No. It is divisible by 2, so 5872 = 2 × 2936.