Factors of 7408

2, 463. As a product: 2^4 × 463.

The factors of 7408 are 1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408. It has 10 factors.

Factors of 7408

Pick any whole number from 1 to 10,000.

7408 = 2^{4} \times 463

How to work it out

1
A factor of 7408 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7408 ≈ 86.07; 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.
$7408 = 2^{4} \times 463$
4
Add all the factors: 1 + 2 + 4 + 8 + 16 + 463 + 926 + 1852 + 3704 + 7408 = 14384. Without 7408 itself that is 6976, so 7408 is a deficient number.

LaTeX source of the formulas on this page

\[ 7408 = 2^{4} \times 463 \]

What are the factors of 7408?

The factors of 7408 are 1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408. It has 10 factors.

What are the prime factors of 7408?

2, 463. As a product: $2^{4}$ × 463.

How many factors does 7408 have?

7408 has 10 factors (5 factor pairs).

What is the sum of the factors of 7408?

14384.

Is 7408 a prime number?

No. It is divisible by 2, so 7408 = 2 × 3704.