Factors of 4072

2, 509. As a product: 2^3 × 509.

The factors of 4072 are 1, 2, 4, 8, 509, 1018, 2036, 4072. It has 8 factors.

Factors of 4072

Pick any whole number from 1 to 10,000.

4072 = 2^{3} \times 509

How to work it out

1
A factor of 4072 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4072 ≈ 63.81; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 8 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$4072 = 2^{3} \times 509$
4
Add all the factors: 1 + 2 + 4 + 8 + 509 + 1018 + 2036 + 4072 = 7650. Without 4072 itself that is 3578, so 4072 is a deficient number.

LaTeX source of the formulas on this page

\[ 4072 = 2^{3} \times 509 \]

What are the factors of 4072?

The factors of 4072 are 1, 2, 4, 8, 509, 1018, 2036, 4072. It has 8 factors.

What are the prime factors of 4072?

2, 509. As a product: $2^{3}$ × 509.

How many factors does 4072 have?

4072 has 8 factors (4 factor pairs).

What is the sum of the factors of 4072?

7650.

Is 4072 a prime number?

No. It is divisible by 2, so 4072 = 2 × 2036.