Factors of 1600

2, 5. As a product: 2^6 × 5^2.

The factors of 1600 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600. It has 21 factors.

Factors of 1600

Pick any whole number from 1 to 10,000.

1600 = 2^{6} \times 5^{2}

How to work it out

1
A factor of 1600 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1600 ≈ 40.00; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 21 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$1600 = 2^{6} \times 5^{2}$
4
Add all the factors: the sum is 3937. Without 1600 itself that is 2337, so 1600 is an abundant number.

LaTeX source of the formulas on this page

\[ 1600 = 2^{6} \times 5^{2} \]

What are the factors of 1600?

The factors of 1600 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600. It has 21 factors.

What are the prime factors of 1600?

2, 5. As a product: $2^{6}$ × $5^{2}$ .

How many factors does 1600 have?

1600 has 21 factors (11 factor pairs, one of them 40 × 40).

What is the sum of the factors of 1600?

3937.

Is 1600 a prime number?

No. It is divisible by 2, so 1600 = 2 × 800.