Factors of 3968

2, 31. As a product: 2^7 × 31.

The factors of 3968 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968. It has 16 factors.

Factors of 3968

Pick any whole number from 1 to 10,000.

3968 = 2^{7} \times 31

How to work it out

1
A factor of 3968 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3968 ≈ 62.99; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 16 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$3968 = 2^{7} \times 31$
4
Add all the factors: the sum is 8160. Without 3968 itself that is 4192, so 3968 is an abundant number.

LaTeX source of the formulas on this page

\[ 3968 = 2^{7} \times 31 \]

What are the factors of 3968?

The factors of 3968 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968. It has 16 factors.

What are the prime factors of 3968?

2, 31. As a product: $2^{7}$ × 31.

How many factors does 3968 have?

3968 has 16 factors (8 factor pairs).

What is the sum of the factors of 3968?

8160.

Is 3968 a prime number?

No. It is divisible by 2, so 3968 = 2 × 1984.