Factors of 3872

2, 11. As a product: 2^5 × 11^2.

The factors of 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872. It has 18 factors.

Factors of 3872

Pick any whole number from 1 to 10,000.

3872 = 2^{5} \times 11^{2}

How to work it out

1
A factor of 3872 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3872 ≈ 62.23; 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.
$3872 = 2^{5} \times 11^{2}$
4
Add all the factors: the sum is 8379. Without 3872 itself that is 4507, so 3872 is an abundant number.

LaTeX source of the formulas on this page

\[ 3872 = 2^{5} \times 11^{2} \]

What are the factors of 3872?

The factors of 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872. It has 18 factors.

What are the prime factors of 3872?

2, 11. As a product: $2^{5}$ × $11^{2}$ .

How many factors does 3872 have?

3872 has 18 factors (9 factor pairs).

What is the sum of the factors of 3872?

8379.

Is 3872 a prime number?

No. It is divisible by 2, so 3872 = 2 × 1936.