Factors of 1688

2, 211. As a product: 2^3 × 211.

The factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688. It has 8 factors.

Factors of 1688

Pick any whole number from 1 to 10,000.

1688 = 2^{3} \times 211

How to work it out

1
A factor of 1688 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1688 ≈ 41.09; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 8 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$1688 = 2^{3} \times 211$
4
Add all the factors: 1 + 2 + 4 + 8 + 211 + 422 + 844 + 1688 = 3180. Without 1688 itself that is 1492, so 1688 is a deficient number.

LaTeX source of the formulas on this page

\[ 1688 = 2^{3} \times 211 \]

What are the factors of 1688?

The factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688. It has 8 factors.

What are the prime factors of 1688?

2, 211. As a product: $2^{3}$ × 211.

How many factors does 1688 have?

1688 has 8 factors (4 factor pairs).

What is the sum of the factors of 1688?

3180.

Is 1688 a prime number?

No. It is divisible by 2, so 1688 = 2 × 844.