Factors of 1525

5, 61. As a product: 5^2 × 61.

The factors of 1525 are 1, 5, 25, 61, 305, 1525. It has 6 factors.

Factors of 1525

Pick any whole number from 1 to 10,000.

1525 = 5^{2} \times 61

How to work it out

1
A factor of 1525 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1525 ≈ 39.05; 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.
$1525 = 5^{2} \times 61$
4
Add all the factors: 1 + 5 + 25 + 61 + 305 + 1525 = 1922. Without 1525 itself that is 397, so 1525 is a deficient number.

LaTeX source of the formulas on this page

\[ 1525 = 5^{2} \times 61 \]

What are the factors of 1525?

The factors of 1525 are 1, 5, 25, 61, 305, 1525. It has 6 factors.

What are the prime factors of 1525?

5, 61. As a product: $5^{2}$ × 61.

How many factors does 1525 have?

1525 has 6 factors (3 factor pairs).

What is the sum of the factors of 1525?

1922.

Is 1525 a prime number?

No. It is divisible by 5, so 1525 = 5 × 305.