Factors of 1004

2, 251. As a product: 2^2 × 251.

The factors of 1004 are 1, 2, 4, 251, 502, 1004. It has 6 factors.

Factors of 1004

Pick any whole number from 1 to 10,000.

1004 = 2^{2} \times 251

How to work it out

1
A factor of 1004 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1004 ≈ 31.69; 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.
$1004 = 2^{2} \times 251$
4
Add all the factors: 1 + 2 + 4 + 251 + 502 + 1004 = 1764. Without 1004 itself that is 760, so 1004 is a deficient number.

LaTeX source of the formulas on this page

\[ 1004 = 2^{2} \times 251 \]

What are the factors of 1004?

The factors of 1004 are 1, 2, 4, 251, 502, 1004. It has 6 factors.

What are the prime factors of 1004?

2, 251. As a product: $2^{2}$ × 251.

How many factors does 1004 have?

1004 has 6 factors (3 factor pairs).

What is the sum of the factors of 1004?

1764.

Is 1004 a prime number?

No. It is divisible by 2, so 1004 = 2 × 502.