Factors of 1408

2, 11. As a product: 2^7 × 11.

The factors of 1408 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704, 1408. It has 16 factors.

Factors of 1408

Pick any whole number from 1 to 10,000.

1408 = 2^{7} \times 11

How to work it out

1
A factor of 1408 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1408 ≈ 37.52; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 16 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$1408 = 2^{7} \times 11$
4
Add all the factors: the sum is 3060. Without 1408 itself that is 1652, so 1408 is an abundant number.

LaTeX source of the formulas on this page

\[ 1408 = 2^{7} \times 11 \]

What are the factors of 1408?

The factors of 1408 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704, 1408. It has 16 factors.

What are the prime factors of 1408?

2, 11. As a product: $2^{7}$ × 11.

How many factors does 1408 have?

1408 has 16 factors (8 factor pairs).

What is the sum of the factors of 1408?

3060.

Is 1408 a prime number?

No. It is divisible by 2, so 1408 = 2 × 704.