Factors of 7984

2, 499. As a product: 2^4 × 499.

The factors of 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984. It has 10 factors.

Factors of 7984

Pick any whole number from 1 to 10,000.

7984 = 2^{4} \times 499

How to work it out

1
A factor of 7984 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7984 ≈ 89.35; 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.
$7984 = 2^{4} \times 499$
4
Add all the factors: 1 + 2 + 4 + 8 + 16 + 499 + 998 + 1996 + 3992 + 7984 = 15500. Without 7984 itself that is 7516, so 7984 is a deficient number.

LaTeX source of the formulas on this page

\[ 7984 = 2^{4} \times 499 \]

What are the factors of 7984?

The factors of 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984. It has 10 factors.

What are the prime factors of 7984?

2, 499. As a product: $2^{4}$ × 499.

How many factors does 7984 have?

7984 has 10 factors (5 factor pairs).

What is the sum of the factors of 7984?

15500.

Is 7984 a prime number?

No. It is divisible by 2, so 7984 = 2 × 3992.