Factors of 208

2, 13. As a product: 2^4 × 13.

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208. It has 10 factors.

Factors of 208

Pick any whole number from 1 to 10,000.

208 = 2^{4} \times 13

How to work it out

1
A factor of 208 is a whole number that divides it with nothing left over. You only need to test the numbers up to √208 ≈ 14.42; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 10 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$208 = 2^{4} \times 13$
4
Add all the factors: 1 + 2 + 4 + 8 + 13 + 16 + 26 + 52 + 104 + 208 = 434. Without 208 itself that is 226, so 208 is an abundant number.

LaTeX source of the formulas on this page

\[ 208 = 2^{4} \times 13 \]

What are the factors of 208?

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208. It has 10 factors.

What are the prime factors of 208?

2, 13. As a product: $2^{4}$ × 13.

How many factors does 208 have?

208 has 10 factors (5 factor pairs).

What is the sum of the factors of 208?

434.

Is 208 a prime number?

No. It is divisible by 2, so 208 = 2 × 104.