Factors of 2272

2, 71. As a product: 2^5 × 71.

The factors of 2272 are 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136, 2272. It has 12 factors.

Factors of 2272

Pick any whole number from 1 to 10,000.

2272 = 2^{5} \times 71

How to work it out

1
A factor of 2272 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2272 ≈ 47.67; 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.
$2272 = 2^{5} \times 71$
4
Add all the factors: 1 + 2 + 4 + 8 + 16 + 32 + 71 + 142 + 284 + 568 + 1136 + 2272 = 4536. Without 2272 itself that is 2264, so 2272 is a deficient number.

LaTeX source of the formulas on this page

\[ 2272 = 2^{5} \times 71 \]

What are the factors of 2272?

The factors of 2272 are 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136, 2272. It has 12 factors.

What are the prime factors of 2272?

2, 71. As a product: $2^{5}$ × 71.

How many factors does 2272 have?

2272 has 12 factors (6 factor pairs).

What is the sum of the factors of 2272?

4536.

Is 2272 a prime number?

No. It is divisible by 2, so 2272 = 2 × 1136.