Factors of 3136

2, 7. As a product: 2^6 × 7^2.

The factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136. It has 21 factors.

Factors of 3136

Pick any whole number from 1 to 10,000.

3136 = 2^{6} \times 7^{2}

How to work it out

1
A factor of 3136 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3136 ≈ 56.00; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 21 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$3136 = 2^{6} \times 7^{2}$
4
Add all the factors: the sum is 7239. Without 3136 itself that is 4103, so 3136 is an abundant number.

LaTeX source of the formulas on this page

\[ 3136 = 2^{6} \times 7^{2} \]

What are the factors of 3136?

The factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136. It has 21 factors.

What are the prime factors of 3136?

2, 7. As a product: $2^{6}$ × $7^{2}$ .

How many factors does 3136 have?

3136 has 21 factors (11 factor pairs, one of them 56 × 56).

What is the sum of the factors of 3136?

7239.

Is 3136 a prime number?

No. It is divisible by 2, so 3136 = 2 × 1568.