Factors of 60
Every whole number that divides 60 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.
Factor pairs of 60
| Pair | Makes |
|---|---|
| 1 × 60 | 60 |
| 2 × 30 | 60 |
| 3 × 20 | 60 |
| 4 × 15 | 60 |
| 5 × 12 | 60 |
| 6 × 10 | 60 |
Prime factors of 60
- Prime factorisation
- 60 = 2 × 2 × 3 × 5 (2² × 3 × 5)
- Reading index form
- A small raised number tells you how many times to use that factor. For example, 2³ means 2 × 2 × 2.
- Is 60 prime?
- No. It has 12 factors, not just 1 and 60.
- Is 60 a square number?
- No. 7 × 7 = 49 and 8 × 8 = 64, so 60 falls between two square numbers.
How to find the factors of 60
60 is even, so 2 is sure to be a factor. Its digits add up to 6, a multiple of 3, so 3 is a factor. It ends in 0, so 5 is a factor. Work up from 1 to 7, and write down both numbers in every pair you find.
- 60 ÷ 1 = 60, so 1 × 60 is a pair.
- 60 ÷ 2 = 30, so 2 × 30 is a pair.
- 60 ÷ 3 = 20, so 3 × 20 is a pair.
- 60 ÷ 4 = 15, so 4 × 15 is a pair.
- 60 ÷ 5 = 12, so 5 × 12 is a pair.
- 60 ÷ 6 = 10, so 6 × 10 is a pair.
- 7 does not go into 60 exactly.
Stop at 8: 8 × 8 = 64, which is more than 60. The next pair you would find is 10 × 6, which is 6 × 10 turned round, so you already have every pair.
60 in the times tables
3 × 20 = 60, 4 × 15 = 60, 5 × 12 = 60 and 6 × 10 = 60. Practise the 5 times table, 6 times table, 10 times table, 12 times table, 15 times table and 20 times table.
More numbers
Check whether 60 is prime.
Questions parents ask
What is the largest factor of 60, apart from 60 itself?
30. Divide 60 by its smallest factor above 1, which is 2: 60 ÷ 2 = 30.
What do the factors of 60 add up to?
168. Leaving out 60 itself, they add up to 108, which is more than 60, so 60 is called an abundant number.
Which number after 60 has the same number of factors?
72. Like 60, it has exactly 12 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.