Factors of 225

3, 5. As a product: 3^2 × 5^2.

The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225. It has 9 factors.

Factors of 225

Pick any whole number from 1 to 10,000.

225 = 3^{2} \times 5^{2}

How to work it out

1
A factor of 225 is a whole number that divides it with nothing left over. You only need to test the numbers up to √225 ≈ 15.00; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 9 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$225 = 3^{2} \times 5^{2}$
4
Add all the factors: 1 + 3 + 5 + 9 + 15 + 25 + 45 + 75 + 225 = 403. Without 225 itself that is 178, so 225 is a deficient number.

LaTeX source of the formulas on this page

\[ 225 = 3^{2} \times 5^{2} \]

What are the factors of 225?

The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225. It has 9 factors.

What are the prime factors of 225?

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

How many factors does 225 have?

225 has 9 factors (5 factor pairs, one of them 15 × 15).

What is the sum of the factors of 225?

403.

Is 225 a prime number?

No. It is divisible by 3, so 225 = 3 × 75.