Factors of 96
Every whole number that divides 96 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96.
Factor pairs of 96
| Pair | Makes |
|---|---|
| 1 × 96 | 96 |
| 2 × 48 | 96 |
| 3 × 32 | 96 |
| 4 × 24 | 96 |
| 6 × 16 | 96 |
| 8 × 12 | 96 |
Prime factors of 96
- Prime factorisation
- 96 = 2 × 2 × 2 × 2 × 2 × 3 (2⁵ × 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 96 prime?
- No. It has 12 factors, not just 1 and 96.
- Is 96 a square number?
- No. 9 × 9 = 81 and 10 × 10 = 100, so 96 falls between two square numbers.
How to find the factors of 96
96 is even, so 2 is sure to be a factor. Its digits add up to 15, a multiple of 3, so 3 is a factor. Work up from 1 to 9, and write down both numbers in every pair you find.
- 96 ÷ 1 = 96, so 1 × 96 is a pair.
- 96 ÷ 2 = 48, so 2 × 48 is a pair.
- 96 ÷ 3 = 32, so 3 × 32 is a pair.
- 96 ÷ 4 = 24, so 4 × 24 is a pair.
- 5 does not go into 96 exactly.
- 96 ÷ 6 = 16, so 6 × 16 is a pair.
- 7 does not go into 96 exactly.
- 96 ÷ 8 = 12, so 8 × 12 is a pair.
- 9 does not go into 96 exactly.
Stop at 10: 10 × 10 = 100, which is more than 96. The next pair you would find is 12 × 8, which is 8 × 12 turned round, so you already have every pair.
96 in the times tables
6 × 16 = 96 and 8 × 12 = 96. Practise the 8 times table, 12 times table and 16 times table.
More numbers
Check whether 96 is prime.
Questions parents ask
What is the largest factor of 96, apart from 96 itself?
48. Divide 96 by its smallest factor above 1, which is 2: 96 ÷ 2 = 48.
What do the factors of 96 add up to?
252. Leaving out 96 itself, they add up to 156, which is more than 96, so 96 is called an abundant number.
Which number after 96 has the same number of factors?
108. Like 96, it has exactly 12 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.