Factors of 7825

5, 313. As a product: 5^2 × 313.

The factors of 7825 are 1, 5, 25, 313, 1565, 7825. It has 6 factors.

Factors of 7825

Pick any whole number from 1 to 10,000.

7825 = 5^{2} \times 313

How to work it out

1
A factor of 7825 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7825 ≈ 88.46; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 6 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$7825 = 5^{2} \times 313$
4
Add all the factors: 1 + 5 + 25 + 313 + 1565 + 7825 = 9734. Without 7825 itself that is 1909, so 7825 is a deficient number.

LaTeX source of the formulas on this page

\[ 7825 = 5^{2} \times 313 \]

What are the factors of 7825?

The factors of 7825 are 1, 5, 25, 313, 1565, 7825. It has 6 factors.

What are the prime factors of 7825?

5, 313. As a product: $5^{2}$ × 313.

How many factors does 7825 have?

7825 has 6 factors (3 factor pairs).

What is the sum of the factors of 7825?

9734.

Is 7825 a prime number?

No. It is divisible by 5, so 7825 = 5 × 1565.