Factors of 75

The factors of 75 are 1, 3, 5, 15, 25, 75. It has 6 factors.

Factors of 75

Pick any whole number from 1 to 10,000.

75 = 3 \times 5^{2}

How to work it out

1
A factor of 75 is a whole number that divides it with nothing left over. You only need to test the numbers up to √75 ≈ 8.66; 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.
$75 = 3 \times 5^{2}$
4
Add all the factors: 1 + 3 + 5 + 15 + 25 + 75 = 124. Without 75 itself that is 49, so 75 is a deficient number.

LaTeX source of the formulas on this page

\[ 75 = 3 \times 5^{2} \]

What are the factors of 75?

The factors of 75 are 1, 3, 5, 15, 25, 75. It has 6 factors.

What are the prime factors of 75?

3, 5. As a product: 3 × $5^{2}$ .

How many factors does 75 have?

75 has 6 factors (3 factor pairs).

What is the sum of the factors of 75?

124.

Is 75 a prime number?

No. It is divisible by 3, so 75 = 3 × 25.