Factors of 1025

5, 41. As a product: 5^2 × 41.

The factors of 1025 are 1, 5, 25, 41, 205, 1025. It has 6 factors.

Factors of 1025

Pick any whole number from 1 to 10,000.

1025 = 5^{2} \times 41

How to work it out

1
A factor of 1025 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1025 ≈ 32.02; 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.
$1025 = 5^{2} \times 41$
4
Add all the factors: 1 + 5 + 25 + 41 + 205 + 1025 = 1302. Without 1025 itself that is 277, so 1025 is a deficient number.

LaTeX source of the formulas on this page

\[ 1025 = 5^{2} \times 41 \]

What are the factors of 1025?

The factors of 1025 are 1, 5, 25, 41, 205, 1025. It has 6 factors.

What are the prime factors of 1025?

5, 41. As a product: $5^{2}$ × 41.

How many factors does 1025 have?

1025 has 6 factors (3 factor pairs).

What is the sum of the factors of 1025?

1302.

Is 1025 a prime number?

No. It is divisible by 5, so 1025 = 5 × 205.