Factors of 288

2, 3. As a product: 2^5 × 3^2.

The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288. It has 18 factors.

Factors of 288

Pick any whole number from 1 to 10,000.

288 = 2^{5} \times 3^{2}

How to work it out

1
A factor of 288 is a whole number that divides it with nothing left over. You only need to test the numbers up to √288 ≈ 16.97; 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.
$288 = 2^{5} \times 3^{2}$
4
Add all the factors: the sum is 819. Without 288 itself that is 531, so 288 is an abundant number.

LaTeX source of the formulas on this page

\[ 288 = 2^{5} \times 3^{2} \]

What are the factors of 288?

The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288. It has 18 factors.

What are the prime factors of 288?

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

How many factors does 288 have?

288 has 18 factors (9 factor pairs).

What is the sum of the factors of 288?

819.

Is 288 a prime number?

No. It is divisible by 2, so 288 = 2 × 144.