Factors of 48

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. It has 10 factors.

Factors of 48

Pick any whole number from 1 to 10,000.

48 = 2^{4} \times 3

How to work it out

1
A factor of 48 is a whole number that divides it with nothing left over. You only need to test the numbers up to √48 ≈ 6.93; 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.
$48 = 2^{4} \times 3$
4
Add all the factors: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 48 = 124. Without 48 itself that is 76, so 48 is an abundant number.

LaTeX source of the formulas on this page

\[ 48 = 2^{4} \times 3 \]

What are the factors of 48?

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. It has 10 factors.

What are the prime factors of 48?

2, 3. As a product: $2^{4}$ × 3.

How many factors does 48 have?

48 has 10 factors (5 factor pairs).

What is the sum of the factors of 48?

124.

Is 48 a prime number?

No. It is divisible by 2, so 48 = 2 × 24.