Factors of 1152

2, 3. As a product: 2^7 × 3^2.

The factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152. It has 24 factors.

Factors of 1152

Pick any whole number from 1 to 10,000.

1152 = 2^{7} \times 3^{2}

How to work it out

1
A factor of 1152 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1152 ≈ 33.94; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 24 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$1152 = 2^{7} \times 3^{2}$
4
Add all the factors: the sum is 3315. Without 1152 itself that is 2163, so 1152 is an abundant number.

LaTeX source of the formulas on this page

\[ 1152 = 2^{7} \times 3^{2} \]

What are the factors of 1152?

The factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152. It has 24 factors.

What are the prime factors of 1152?

2, 3. As a product: $2^{7}$ × $3^{2}$ .

How many factors does 1152 have?

1152 has 24 factors (12 factor pairs).

What is the sum of the factors of 1152?

3315.

Is 1152 a prime number?

No. It is divisible by 2, so 1152 = 2 × 576.