Factors of 7225

5, 17. As a product: 5^2 × 17^2.

The factors of 7225 are 1, 5, 17, 25, 85, 289, 425, 1445, 7225. It has 9 factors.

Factors of 7225

Pick any whole number from 1 to 10,000.

7225 = 5^{2} \times 17^{2}

How to work it out

1
A factor of 7225 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7225 ≈ 85.00; 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.
$7225 = 5^{2} \times 17^{2}$
4
Add all the factors: 1 + 5 + 17 + 25 + 85 + 289 + 425 + 1445 + 7225 = 9517. Without 7225 itself that is 2292, so 7225 is a deficient number.

LaTeX source of the formulas on this page

\[ 7225 = 5^{2} \times 17^{2} \]

What are the factors of 7225?

The factors of 7225 are 1, 5, 17, 25, 85, 289, 425, 1445, 7225. It has 9 factors.

What are the prime factors of 7225?

5, 17. As a product: $5^{2}$ × $17^{2}$ .

How many factors does 7225 have?

7225 has 9 factors (5 factor pairs, one of them 85 × 85).

What is the sum of the factors of 7225?

9517.

Is 7225 a prime number?

No. It is divisible by 5, so 7225 = 5 × 1445.