Factors of 392

2, 7. As a product: 2^3 × 7^2.

The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. It has 12 factors.

Factors of 392

Pick any whole number from 1 to 10,000.

392 = 2^{3} \times 7^{2}

How to work it out

1
A factor of 392 is a whole number that divides it with nothing left over. You only need to test the numbers up to √392 ≈ 19.80; 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.
$392 = 2^{3} \times 7^{2}$
4
Add all the factors: 1 + 2 + 4 + 7 + 8 + 14 + 28 + 49 + 56 + 98 + 196 + 392 = 855. Without 392 itself that is 463, so 392 is an abundant number.

LaTeX source of the formulas on this page

\[ 392 = 2^{3} \times 7^{2} \]

What are the factors of 392?

The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. It has 12 factors.

What are the prime factors of 392?

2, 7. As a product: $2^{3}$ × $7^{2}$ .

How many factors does 392 have?

392 has 12 factors (6 factor pairs).

What is the sum of the factors of 392?

855.

Is 392 a prime number?

No. It is divisible by 2, so 392 = 2 × 196.