Factors of 448

The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. It has 14 factors.

Factors of 448

Pick any whole number from 1 to 10,000.

448 = 2^{6} \times 7

How to work it out

1
A factor of 448 is a whole number that divides it with nothing left over. You only need to test the numbers up to √448 ≈ 21.17; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 14 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$448 = 2^{6} \times 7$
4
Add all the factors: the sum is 1016. Without 448 itself that is 568, so 448 is an abundant number.

LaTeX source of the formulas on this page

\[ 448 = 2^{6} \times 7 \]

What are the factors of 448?

The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. It has 14 factors.

What are the prime factors of 448?

2, 7. As a product: $2^{6}$ × 7.

How many factors does 448 have?

448 has 14 factors (7 factor pairs).

What is the sum of the factors of 448?

1016.

Is 448 a prime number?

No. It is divisible by 2, so 448 = 2 × 224.