Factors of 4000

2, 5. As a product: 2^5 × 5^3.

The factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000. It has 24 factors.

Factors of 4000

Pick any whole number from 1 to 10,000.

4000 = 2^{5} \times 5^{3}

How to work it out

1
A factor of 4000 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4000 ≈ 63.25; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 24 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$4000 = 2^{5} \times 5^{3}$
4
Add all the factors: the sum is 9828. Without 4000 itself that is 5828, so 4000 is an abundant number.

LaTeX source of the formulas on this page

\[ 4000 = 2^{5} \times 5^{3} \]

What are the factors of 4000?

The factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000. It has 24 factors.

What are the prime factors of 4000?

2, 5. As a product: $2^{5}$ × $5^{3}$ .

How many factors does 4000 have?

4000 has 24 factors (12 factor pairs).

What is the sum of the factors of 4000?

9828.

Is 4000 a prime number?

No. It is divisible by 2, so 4000 = 2 × 2000.