Factors of 972

2, 3. As a product: 2^2 × 3^5.

The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972. It has 18 factors.

Factors of 972

Pick any whole number from 1 to 10,000.

972 = 2^{2} \times 3^{5}

How to work it out

1
A factor of 972 is a whole number that divides it with nothing left over. You only need to test the numbers up to √972 ≈ 31.18; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 18 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$972 = 2^{2} \times 3^{5}$
4
Add all the factors: the sum is 2548. Without 972 itself that is 1576, so 972 is an abundant number.

LaTeX source of the formulas on this page

\[ 972 = 2^{2} \times 3^{5} \]

What are the factors of 972?

The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972. It has 18 factors.

What are the prime factors of 972?

2, 3. As a product: $2^{2}$ × $3^{5}$ .

How many factors does 972 have?

972 has 18 factors (9 factor pairs).

What is the sum of the factors of 972?

2548.

Is 972 a prime number?

No. It is divisible by 2, so 972 = 2 × 486.