Factors of 64
Every whole number that divides 64 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 64 are 1, 2, 4, 8, 16, 32 and 64.
Factor pairs of 64
| Pair | Makes |
|---|---|
| 1 × 64 | 64 |
| 2 × 32 | 64 |
| 4 × 16 | 64 |
| 8 × 8 | 64 |
8 × 8 uses the same number twice, so 8 counts once. That is why 64 has an odd number of factors: 7.
Prime factors of 64
- Prime factorisation
- 64 = 2 × 2 × 2 × 2 × 2 × 2 (2⁶)
- Reading index form
- A small raised number tells you how many times to use that factor. For example, 2³ means 2 × 2 × 2.
- Is 64 prime?
- No. It has 7 factors, not just 1 and 64.
- Is 64 a square number?
- Yes. 8 × 8 = 64.
How to find the factors of 64
64 is even, so 2 is sure to be a factor. It is a square number, so one pair is 8 × 8, the same number twice. Work up from 1 to 8, and write down both numbers in every pair you find.
- 64 ÷ 1 = 64, so 1 × 64 is a pair.
- 64 ÷ 2 = 32, so 2 × 32 is a pair.
- 3 does not go into 64 exactly.
- 64 ÷ 4 = 16, so 4 × 16 is a pair.
- 5 does not go into 64 exactly.
- 6 does not go into 64 exactly.
- 7 does not go into 64 exactly.
- 64 ÷ 8 = 8, so 8 × 8 is a pair.
Stop at 9: 9 × 9 = 81, which is more than 64. The next pair you would find is 16 × 4, which is 4 × 16 turned round, so you already have every pair.
64 in the times tables
4 × 16 = 64 and 8 × 8 = 64. Practise the 8 times table and 16 times table.
More numbers
Check whether 64 is prime or see the square root of 64.
Questions parents ask
What is the largest factor of 64, apart from 64 itself?
32. Divide 64 by its smallest factor above 1, which is 2: 64 ÷ 2 = 32.
What do the factors of 64 add up to?
127. Leaving out 64 itself, they add up to 63, which is less than 64, so 64 is called a deficient number.
Which number after 64 has the same number of factors?
729. Like 64, it has exactly 7 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.