Factors of 6272

2, 7. As a product: 2^7 × 7^2.

The factors of 6272 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 392, 448, 784, 896, 1568, 3136, 6272. It has 24 factors.

Factors of 6272

Pick any whole number from 1 to 10,000.

6272 = 2^{7} \times 7^{2}

How to work it out

1
A factor of 6272 is a whole number that divides it with nothing left over. You only need to test the numbers up to √6272 ≈ 79.20; 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.
$6272 = 2^{7} \times 7^{2}$
4
Add all the factors: the sum is 14535. Without 6272 itself that is 8263, so 6272 is an abundant number.

LaTeX source of the formulas on this page

\[ 6272 = 2^{7} \times 7^{2} \]

What are the factors of 6272?

The factors of 6272 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 392, 448, 784, 896, 1568, 3136, 6272. It has 24 factors.

What are the prime factors of 6272?

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

How many factors does 6272 have?

6272 has 24 factors (12 factor pairs).

What is the sum of the factors of 6272?

14535.

Is 6272 a prime number?

No. It is divisible by 2, so 6272 = 2 × 3136.