Factors of 1825

5, 73. As a product: 5^2 × 73.

The factors of 1825 are 1, 5, 25, 73, 365, 1825. It has 6 factors.

Factors of 1825

Pick any whole number from 1 to 10,000.

1825 = 5^{2} \times 73

How to work it out

1
A factor of 1825 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1825 ≈ 42.72; 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.
$1825 = 5^{2} \times 73$
4
Add all the factors: 1 + 5 + 25 + 73 + 365 + 1825 = 2294. Without 1825 itself that is 469, so 1825 is a deficient number.

LaTeX source of the formulas on this page

\[ 1825 = 5^{2} \times 73 \]

What are the factors of 1825?

The factors of 1825 are 1, 5, 25, 73, 365, 1825. It has 6 factors.

What are the prime factors of 1825?

5, 73. As a product: $5^{2}$ × 73.

How many factors does 1825 have?

1825 has 6 factors (3 factor pairs).

What is the sum of the factors of 1825?

2294.

Is 1825 a prime number?

No. It is divisible by 5, so 1825 = 5 × 365.