Factors of 59
Every whole number that divides 59 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 59 are 1 and 59. 59 is a prime number.
Factor pairs of 59
| Pair | Makes |
|---|---|
| 1 × 59 | 59 |
Prime factors of 59
- Prime factorisation
- 59 = 59
- Is 59 prime?
- Yes. It is the 17th prime number.
- Is 59 a square number?
- No. 7 × 7 = 49 and 8 × 8 = 64, so 59 falls between two square numbers.
How to find the factors of 59
59 is prime, so the only pair you will find is 1 × 59. Work up from 1 to 7, and write down both numbers in every pair you find.
- 59 ÷ 1 = 59, so 1 × 59 is a pair.
- 2 does not go into 59 exactly.
- 3 does not go into 59 exactly.
- 4 does not go into 59 exactly.
- 5 does not go into 59 exactly.
- 6 does not go into 59 exactly.
- 7 does not go into 59 exactly.
Stop at 8: 8 × 8 = 64, which is more than 59. The next pair you would find is 59 × 1, which is 1 × 59 turned round, so you already have every pair.
More numbers
Check whether 59 is prime.
Questions parents ask
What is the largest factor of 59, apart from 59 itself?
1. 59 is prime, so apart from 59 itself its only factor is 1.
What do the factors of 59 add up to?
60. Leaving out 59 itself, they add up to 1, which is less than 59, so 59 is called a deficient number.
Which number after 59 has the same number of factors?
61. Like 59, 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.