Factors of 338

2, 13. As a product: 2 × 13^2.

The factors of 338 are 1, 2, 13, 26, 169, 338. It has 6 factors.

Factors of 338

Pick any whole number from 1 to 10,000.

338 = 2 \times 13^{2}

How to work it out

1
A factor of 338 is a whole number that divides it with nothing left over. You only need to test the numbers up to √338 ≈ 18.38; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 6 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$338 = 2 \times 13^{2}$
4
Add all the factors: 1 + 2 + 13 + 26 + 169 + 338 = 549. Without 338 itself that is 211, so 338 is a deficient number.

LaTeX source of the formulas on this page

\[ 338 = 2 \times 13^{2} \]

What are the factors of 338?

The factors of 338 are 1, 2, 13, 26, 169, 338. It has 6 factors.

What are the prime factors of 338?

2, 13. As a product: 2 × $13^{2}$ .

How many factors does 338 have?

338 has 6 factors (3 factor pairs).

What is the sum of the factors of 338?

549.

Is 338 a prime number?

No. It is divisible by 2, so 338 = 2 × 169.