Factors of 2008

2, 251. As a product: 2^3 × 251.

The factors of 2008 are 1, 2, 4, 8, 251, 502, 1004, 2008. It has 8 factors.

Factors of 2008

Pick any whole number from 1 to 10,000.

2008 = 2^{3} \times 251

How to work it out

1
A factor of 2008 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2008 ≈ 44.81; 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.
$2008 = 2^{3} \times 251$
4
Add all the factors: 1 + 2 + 4 + 8 + 251 + 502 + 1004 + 2008 = 3780. Without 2008 itself that is 1772, so 2008 is a deficient number.

LaTeX source of the formulas on this page

\[ 2008 = 2^{3} \times 251 \]

What are the factors of 2008?

The factors of 2008 are 1, 2, 4, 8, 251, 502, 1004, 2008. It has 8 factors.

What are the prime factors of 2008?

2, 251. As a product: $2^{3}$ × 251.

How many factors does 2008 have?

2008 has 8 factors (4 factor pairs).

What is the sum of the factors of 2008?

3780.

Is 2008 a prime number?

No. It is divisible by 2, so 2008 = 2 × 1004.