Factors of 7328

2, 229. As a product: 2^5 × 229.

The factors of 7328 are 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328. It has 12 factors.

Factors of 7328

Pick any whole number from 1 to 10,000.

7328 = 2^{5} \times 229

How to work it out

1
A factor of 7328 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7328 ≈ 85.60; 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.
$7328 = 2^{5} \times 229$
4
Add all the factors: 1 + 2 + 4 + 8 + 16 + 32 + 229 + 458 + 916 + 1832 + 3664 + 7328 = 14490. Without 7328 itself that is 7162, so 7328 is a deficient number.

LaTeX source of the formulas on this page

\[ 7328 = 2^{5} \times 229 \]

What are the factors of 7328?

The factors of 7328 are 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328. It has 12 factors.

What are the prime factors of 7328?

2, 229. As a product: $2^{5}$ × 229.

How many factors does 7328 have?

7328 has 12 factors (6 factor pairs).

What is the sum of the factors of 7328?

14490.

Is 7328 a prime number?

No. It is divisible by 2, so 7328 = 2 × 3664.