Factors of 67
Every whole number that divides 67 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 67 are 1 and 67. 67 is a prime number.
Factor pairs of 67
| Pair | Makes |
|---|---|
| 1 × 67 | 67 |
Prime factors of 67
- Prime factorisation
- 67 = 67
- Is 67 prime?
- Yes. It is the 19th prime number.
- Is 67 a square number?
- No. 8 × 8 = 64 and 9 × 9 = 81, so 67 falls between two square numbers.
How to find the factors of 67
67 is prime, so the only pair you will find is 1 × 67. Work up from 1 to 8, and write down both numbers in every pair you find.
- 67 ÷ 1 = 67, so 1 × 67 is a pair.
- 2 does not go into 67 exactly.
- 3 does not go into 67 exactly.
- 4 does not go into 67 exactly.
- 5 does not go into 67 exactly.
- 6 does not go into 67 exactly.
- 7 does not go into 67 exactly.
- 8 does not go into 67 exactly.
Stop at 9: 9 × 9 = 81, which is more than 67. The next pair you would find is 67 × 1, which is 1 × 67 turned round, so you already have every pair.
More numbers
Check whether 67 is prime.
Questions parents ask
What is the largest factor of 67, apart from 67 itself?
1. 67 is prime, so apart from 67 itself its only factor is 1.
What do the factors of 67 add up to?
68. Leaving out 67 itself, they add up to 1, which is less than 67, so 67 is called a deficient number.
Which number after 67 has the same number of factors?
71. Like 67, it has exactly 2 factors.
Number facts are the base of 11+ maths
Factors, multiples, primes and square numbers come up all over 11+ maths, from simplifying fractions to ratio. The free diagnostic checks maths, English and both kinds of reasoning, and shows what to practise next. No card is required.