Factors of 800

2, 5. As a product: 2^5 × 5^2.

The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. It has 18 factors.

Factors of 800

Pick any whole number from 1 to 10,000.

800 = 2^{5} \times 5^{2}

How to work it out

1
A factor of 800 is a whole number that divides it with nothing left over. You only need to test the numbers up to √800 ≈ 28.28; 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.
$800 = 2^{5} \times 5^{2}$
4
Add all the factors: the sum is 1953. Without 800 itself that is 1153, so 800 is an abundant number.

LaTeX source of the formulas on this page

\[ 800 = 2^{5} \times 5^{2} \]

What are the factors of 800?

The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. It has 18 factors.

What are the prime factors of 800?

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

How many factors does 800 have?

800 has 18 factors (9 factor pairs).

What is the sum of the factors of 800?

1953.

Is 800 a prime number?

No. It is divisible by 2, so 800 = 2 × 400.