Factors of 61
Every whole number that divides 61 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 61 are 1 and 61. 61 is a prime number.
Factor pairs of 61
| Pair | Makes |
|---|---|
| 1 × 61 | 61 |
Prime factors of 61
- Prime factorisation
- 61 = 61
- Is 61 prime?
- Yes. It is the 18th prime number.
- Is 61 a square number?
- No. 7 × 7 = 49 and 8 × 8 = 64, so 61 falls between two square numbers.
How to find the factors of 61
61 is prime, so the only pair you will find is 1 × 61. Work up from 1 to 7, and write down both numbers in every pair you find.
- 61 ÷ 1 = 61, so 1 × 61 is a pair.
- 2 does not go into 61 exactly.
- 3 does not go into 61 exactly.
- 4 does not go into 61 exactly.
- 5 does not go into 61 exactly.
- 6 does not go into 61 exactly.
- 7 does not go into 61 exactly.
Stop at 8: 8 × 8 = 64, which is more than 61. The next pair you would find is 61 × 1, which is 1 × 61 turned round, so you already have every pair.
More numbers
Check whether 61 is prime.
Questions parents ask
What is the largest factor of 61, apart from 61 itself?
1. 61 is prime, so apart from 61 itself its only factor is 1.
What do the factors of 61 add up to?
62. Leaving out 61 itself, they add up to 1, which is less than 61, so 61 is called a deficient number.
Which number after 61 has the same number of factors?
67. Like 61, 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.