Factors of 8144

2, 509. As a product: 2^4 × 509.

The factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144. It has 10 factors.

Factors of 8144

Pick any whole number from 1 to 10,000.

8144 = 2^{4} \times 509

How to work it out

1
A factor of 8144 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8144 ≈ 90.24; 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.
$8144 = 2^{4} \times 509$
4
Add all the factors: 1 + 2 + 4 + 8 + 16 + 509 + 1018 + 2036 + 4072 + 8144 = 15810. Without 8144 itself that is 7666, so 8144 is a deficient number.

LaTeX source of the formulas on this page

\[ 8144 = 2^{4} \times 509 \]

What are the factors of 8144?

The factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144. It has 10 factors.

What are the prime factors of 8144?

2, 509. As a product: $2^{4}$ × 509.

How many factors does 8144 have?

8144 has 10 factors (5 factor pairs).

What is the sum of the factors of 8144?

15810.

Is 8144 a prime number?

No. It is divisible by 2, so 8144 = 2 × 4072.