Factors of 872

2, 109. As a product: 2^3 × 109.

The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872. It has 8 factors.

Factors of 872

Pick any whole number from 1 to 10,000.

872 = 2^{3} \times 109

How to work it out

1
A factor of 872 is a whole number that divides it with nothing left over. You only need to test the numbers up to √872 ≈ 29.53; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 8 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$872 = 2^{3} \times 109$
4
Add all the factors: 1 + 2 + 4 + 8 + 109 + 218 + 436 + 872 = 1650. Without 872 itself that is 778, so 872 is a deficient number.

LaTeX source of the formulas on this page

\[ 872 = 2^{3} \times 109 \]

What are the factors of 872?

The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872. It has 8 factors.

What are the prime factors of 872?

2, 109. As a product: $2^{3}$ × 109.

How many factors does 872 have?

872 has 8 factors (4 factor pairs).

What is the sum of the factors of 872?

1650.

Is 872 a prime number?

No. It is divisible by 2, so 872 = 2 × 436.