Factors of 3904

2, 61. As a product: 2^6 × 61.

The factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904. It has 14 factors.

Factors of 3904

Pick any whole number from 1 to 10,000.

3904 = 2^{6} \times 61

How to work it out

1
A factor of 3904 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3904 ≈ 62.48; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 14 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$3904 = 2^{6} \times 61$
4
Add all the factors: the sum is 7874. Without 3904 itself that is 3970, so 3904 is an abundant number.

LaTeX source of the formulas on this page

\[ 3904 = 2^{6} \times 61 \]

What are the factors of 3904?

The factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904. It has 14 factors.

What are the prime factors of 3904?

2, 61. As a product: $2^{6}$ × 61.

How many factors does 3904 have?

3904 has 14 factors (7 factor pairs).

What is the sum of the factors of 3904?

7874.

Is 3904 a prime number?

No. It is divisible by 2, so 3904 = 2 × 1952.