Factors of 75
Every whole number that divides 75 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 75 are 1, 3, 5, 15, 25 and 75.
Factor pairs of 75
| Pair | Makes |
|---|---|
| 1 × 75 | 75 |
| 3 × 25 | 75 |
| 5 × 15 | 75 |
Prime factors of 75
- Prime factorisation
- 75 = 3 × 5 × 5 (3 × 5²)
- Reading index form
- A small raised number tells you how many times to use that factor. For example, 2³ means 2 × 2 × 2.
- Is 75 prime?
- No. It has 6 factors, not just 1 and 75.
- Is 75 a square number?
- No. 8 × 8 = 64 and 9 × 9 = 81, so 75 falls between two square numbers.
How to find the factors of 75
75 is odd, so every even number you try will fail. Its digits add up to 12, a multiple of 3, so 3 is a factor. It ends in 5, so 5 is a factor. Work up from 1 to 8, and write down both numbers in every pair you find.
- 75 ÷ 1 = 75, so 1 × 75 is a pair.
- 2 does not go into 75 exactly.
- 75 ÷ 3 = 25, so 3 × 25 is a pair.
- 4 does not go into 75 exactly.
- 75 ÷ 5 = 15, so 5 × 15 is a pair.
- 6 does not go into 75 exactly.
- 7 does not go into 75 exactly.
- 8 does not go into 75 exactly.
Stop at 9: 9 × 9 = 81, which is more than 75. The next pair you would find is 15 × 5, which is 5 × 15 turned round, so you already have every pair.
75 in the times tables
3 × 25 = 75 and 5 × 15 = 75. Practise the 15 times table and 25 times table.
More numbers
Check whether 75 is prime.
Questions parents ask
What is the largest factor of 75, apart from 75 itself?
25. Divide 75 by its smallest factor above 1, which is 3: 75 ÷ 3 = 25.
What do the factors of 75 add up to?
124. Leaving out 75 itself, they add up to 49, which is less than 75, so 75 is called a deficient number.
Which number after 75 has the same number of factors?
76. Like 75, it has exactly 6 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.