Factors of 736

2, 23. As a product: 2^5 × 23.

The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736. It has 12 factors.

Factors of 736

Pick any whole number from 1 to 10,000.

736 = 2^{5} \times 23

How to work it out

1
A factor of 736 is a whole number that divides it with nothing left over. You only need to test the numbers up to √736 ≈ 27.13; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 12 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$736 = 2^{5} \times 23$
4
Add all the factors: 1 + 2 + 4 + 8 + 16 + 23 + 32 + 46 + 92 + 184 + 368 + 736 = 1512. Without 736 itself that is 776, so 736 is an abundant number.

LaTeX source of the formulas on this page

\[ 736 = 2^{5} \times 23 \]

What are the factors of 736?

The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736. It has 12 factors.

What are the prime factors of 736?

2, 23. As a product: $2^{5}$ × 23.

How many factors does 736 have?

736 has 12 factors (6 factor pairs).

What is the sum of the factors of 736?

1512.

Is 736 a prime number?

No. It is divisible by 2, so 736 = 2 × 368.