Factors of 8072

2, 1009. As a product: 2^3 × 1009.

The factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072. It has 8 factors.

Factors of 8072

Pick any whole number from 1 to 10,000.

8072 = 2^{3} \times 1009

How to work it out

1
A factor of 8072 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8072 ≈ 89.84; 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.
$8072 = 2^{3} \times 1009$
4
Add all the factors: 1 + 2 + 4 + 8 + 1009 + 2018 + 4036 + 8072 = 15150. Without 8072 itself that is 7078, so 8072 is a deficient number.

LaTeX source of the formulas on this page

\[ 8072 = 2^{3} \times 1009 \]

What are the factors of 8072?

The factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072. It has 8 factors.

What are the prime factors of 8072?

2, 1009. As a product: $2^{3}$ × 1009.

How many factors does 8072 have?

8072 has 8 factors (4 factor pairs).

What is the sum of the factors of 8072?

15150.

Is 8072 a prime number?

No. It is divisible by 2, so 8072 = 2 × 4036.