Factors of 68
Every whole number that divides 68 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 68 are 1, 2, 4, 17, 34 and 68.
Factor pairs of 68
| Pair | Makes |
|---|---|
| 1 × 68 | 68 |
| 2 × 34 | 68 |
| 4 × 17 | 68 |
Prime factors of 68
- Prime factorisation
- 68 = 2 × 2 × 17 (2² × 17)
- Reading index form
- A small raised number tells you how many times to use that factor. For example, 2³ means 2 × 2 × 2.
- Is 68 prime?
- No. It has 6 factors, not just 1 and 68.
- Is 68 a square number?
- No. 8 × 8 = 64 and 9 × 9 = 81, so 68 falls between two square numbers.
How to find the factors of 68
68 is even, so 2 is sure to be a factor. Work up from 1 to 8, and write down both numbers in every pair you find.
- 68 ÷ 1 = 68, so 1 × 68 is a pair.
- 68 ÷ 2 = 34, so 2 × 34 is a pair.
- 3 does not go into 68 exactly.
- 68 ÷ 4 = 17, so 4 × 17 is a pair.
- 5 does not go into 68 exactly.
- 6 does not go into 68 exactly.
- 7 does not go into 68 exactly.
- 8 does not go into 68 exactly.
Stop at 9: 9 × 9 = 81, which is more than 68. The next pair you would find is 17 × 4, which is 4 × 17 turned round, so you already have every pair.
68 in the times tables
4 × 17 = 68. Practise the 17 times table.
More numbers
Check whether 68 is prime.
Questions parents ask
What is the largest factor of 68, apart from 68 itself?
34. Divide 68 by its smallest factor above 1, which is 2: 68 ÷ 2 = 34.
What do the factors of 68 add up to?
126. Leaving out 68 itself, they add up to 58, which is less than 68, so 68 is called a deficient number.
Which number after 68 has the same number of factors?
75. Like 68, it has exactly 6 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.