Factors of 1568

2, 7. As a product: 2^5 × 7^2.

The factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568. It has 18 factors.

Factors of 1568

Pick any whole number from 1 to 10,000.

1568 = 2^{5} \times 7^{2}

How to work it out

1
A factor of 1568 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1568 ≈ 39.60; 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.
$1568 = 2^{5} \times 7^{2}$
4
Add all the factors: the sum is 3591. Without 1568 itself that is 2023, so 1568 is an abundant number.

LaTeX source of the formulas on this page

\[ 1568 = 2^{5} \times 7^{2} \]

What are the factors of 1568?

The factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568. It has 18 factors.

What are the prime factors of 1568?

2, 7. As a product: $2^{5}$ × $7^{2}$ .

How many factors does 1568 have?

1568 has 18 factors (9 factor pairs).

What is the sum of the factors of 1568?

3591.

Is 1568 a prime number?

No. It is divisible by 2, so 1568 = 2 × 784.