Factors of 3200

2, 5. As a product: 2^7 × 5^2.

The factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200. It has 24 factors.

Factors of 3200

Pick any whole number from 1 to 10,000.

3200 = 2^{7} \times 5^{2}

How to work it out

1
A factor of 3200 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3200 ≈ 56.57; 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.
$3200 = 2^{7} \times 5^{2}$
4
Add all the factors: the sum is 7905. Without 3200 itself that is 4705, so 3200 is an abundant number.

LaTeX source of the formulas on this page

\[ 3200 = 2^{7} \times 5^{2} \]

What are the factors of 3200?

The factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200. It has 24 factors.

What are the prime factors of 3200?

2, 5. As a product: $2^{7}$ × $5^{2}$ .

How many factors does 3200 have?

3200 has 24 factors (12 factor pairs).

What is the sum of the factors of 3200?

7905.

Is 3200 a prime number?

No. It is divisible by 2, so 3200 = 2 × 1600.