Factors of 24
Every whole number that divides 24 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
Factor pairs of 24
| Pair | Makes |
|---|---|
| 1 × 24 | 24 |
| 2 × 12 | 24 |
| 3 × 8 | 24 |
| 4 × 6 | 24 |
Prime factors of 24
- Prime factorisation
- 24 = 2 × 2 × 2 × 3 (2³ × 3)
- Reading index form
- A small raised number tells you how many times to use that factor. For example, 2³ means 2 × 2 × 2.
- Is 24 prime?
- No. It has 8 factors, not just 1 and 24.
- Is 24 a square number?
- No. 4 × 4 = 16 and 5 × 5 = 25, so 24 falls between two square numbers.
How to find the factors of 24
24 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. Work up from 1 to 4, and write down both numbers in every pair you find.
- 24 ÷ 1 = 24, so 1 × 24 is a pair.
- 24 ÷ 2 = 12, so 2 × 12 is a pair.
- 24 ÷ 3 = 8, so 3 × 8 is a pair.
- 24 ÷ 4 = 6, so 4 × 6 is a pair.
Stop at 5: 5 × 5 = 25, which is more than 24. The next pair you would find is 6 × 4, which is 4 × 6 turned round, so you already have every pair.
24 in the times tables
2 × 12 = 24, 3 × 8 = 24 and 4 × 6 = 24. Practise the 2 times table, 3 times table, 4 times table, 6 times table, 8 times table and 12 times table.
More numbers
Check whether 24 is prime.
Questions parents ask
What is the largest factor of 24, apart from 24 itself?
12. Divide 24 by its smallest factor above 1, which is 2: 24 ÷ 2 = 12.
What do the factors of 24 add up to?
60. Leaving out 24 itself, they add up to 36, which is more than 24, so 24 is called an abundant number.
Which number after 24 has the same number of factors?
30. Like 24, it has exactly 8 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.