Factors of 5625

3, 5. As a product: 3^2 × 5^4.

The factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625. It has 15 factors.

Factors of 5625

Pick any whole number from 1 to 10,000.

5625 = 3^{2} \times 5^{4}

How to work it out

1
A factor of 5625 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5625 ≈ 75.00; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 15 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$5625 = 3^{2} \times 5^{4}$
4
Add all the factors: the sum is 10153. Without 5625 itself that is 4528, so 5625 is a deficient number.

LaTeX source of the formulas on this page

\[ 5625 = 3^{2} \times 5^{4} \]

What are the factors of 5625?

The factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625. It has 15 factors.

What are the prime factors of 5625?

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

How many factors does 5625 have?

5625 has 15 factors (8 factor pairs, one of them 75 × 75).

What is the sum of the factors of 5625?

10153.

Is 5625 a prime number?

No. It is divisible by 3, so 5625 = 3 × 1875.