Factors of 1072

2, 67. As a product: 2^4 × 67.

The factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072. It has 10 factors.

Factors of 1072

Pick any whole number from 1 to 10,000.

1072 = 2^{4} \times 67

How to work it out

1
A factor of 1072 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1072 ≈ 32.74; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 10 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$1072 = 2^{4} \times 67$
4
Add all the factors: 1 + 2 + 4 + 8 + 16 + 67 + 134 + 268 + 536 + 1072 = 2108. Without 1072 itself that is 1036, so 1072 is a deficient number.

LaTeX source of the formulas on this page

\[ 1072 = 2^{4} \times 67 \]

What are the factors of 1072?

The factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072. It has 10 factors.

What are the prime factors of 1072?

2, 67. As a product: $2^{4}$ × 67.

How many factors does 1072 have?

1072 has 10 factors (5 factor pairs).

What is the sum of the factors of 1072?

2108.

Is 1072 a prime number?

No. It is divisible by 2, so 1072 = 2 × 536.