Factors of 72

2, 3. As a product: 2^3 × 3^2.

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. It has 12 factors.

Factors of 72

Pick any whole number from 1 to 10,000.

72 = 2^{3} \times 3^{2}

How to work it out

1
A factor of 72 is a whole number that divides it with nothing left over. You only need to test the numbers up to √72 ≈ 8.49; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 12 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$72 = 2^{3} \times 3^{2}$
4
Add all the factors: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 36 + 72 = 195. Without 72 itself that is 123, so 72 is an abundant number.

LaTeX source of the formulas on this page

\[ 72 = 2^{3} \times 3^{2} \]

What are the factors of 72?

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. It has 12 factors.

What are the prime factors of 72?

2, 3. As a product: $2^{3}$ × $3^{2}$ .

How many factors does 72 have?

72 has 12 factors (6 factor pairs).

What is the sum of the factors of 72?

195.

Is 72 a prime number?

No. It is divisible by 2, so 72 = 2 × 36.