Factors of 5072

2, 317. As a product: 2^4 × 317.

The factors of 5072 are 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072. It has 10 factors.

Factors of 5072

Pick any whole number from 1 to 10,000.

5072 = 2^{4} \times 317

How to work it out

1
A factor of 5072 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5072 ≈ 71.22; 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.
$5072 = 2^{4} \times 317$
4
Add all the factors: 1 + 2 + 4 + 8 + 16 + 317 + 634 + 1268 + 2536 + 5072 = 9858. Without 5072 itself that is 4786, so 5072 is a deficient number.

LaTeX source of the formulas on this page

\[ 5072 = 2^{4} \times 317 \]

What are the factors of 5072?

The factors of 5072 are 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072. It has 10 factors.

What are the prime factors of 5072?

2, 317. As a product: $2^{4}$ × 317.

How many factors does 5072 have?

5072 has 10 factors (5 factor pairs).

What is the sum of the factors of 5072?

9858.

Is 5072 a prime number?

No. It is divisible by 2, so 5072 = 2 × 2536.