Factors of 2000

2, 5. As a product: 2^4 × 5^3.

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

Factors of 2000

Pick any whole number from 1 to 10,000.

2000 = 2^{4} \times 5^{3}

How to work it out

1
A factor of 2000 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2000 ≈ 44.72; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 20 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$2000 = 2^{4} \times 5^{3}$
4
Add all the factors: the sum is 4836. Without 2000 itself that is 2836, so 2000 is an abundant number.

LaTeX source of the formulas on this page

\[ 2000 = 2^{4} \times 5^{3} \]

What are the factors of 2000?

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

What are the prime factors of 2000?

2, 5. As a product: $2^{4}$ × $5^{3}$ .

How many factors does 2000 have?

2000 has 20 factors (10 factor pairs).

What is the sum of the factors of 2000?

4836.

Is 2000 a prime number?

No. It is divisible by 2, so 2000 = 2 × 1000.