Factors of 89
Every whole number that divides 89 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 89 are 1 and 89. 89 is a prime number.
Factor pairs of 89
| Pair | Makes |
|---|---|
| 1 × 89 | 89 |
Prime factors of 89
- Prime factorisation
- 89 = 89
- Is 89 prime?
- Yes. It is the 24th prime number.
- Is 89 a square number?
- No. 9 × 9 = 81 and 10 × 10 = 100, so 89 falls between two square numbers.
How to find the factors of 89
89 is prime, so the only pair you will find is 1 × 89. Work up from 1 to 9, and write down both numbers in every pair you find.
- 89 ÷ 1 = 89, so 1 × 89 is a pair.
- 2 does not go into 89 exactly.
- 3 does not go into 89 exactly.
- 4 does not go into 89 exactly.
- 5 does not go into 89 exactly.
- 6 does not go into 89 exactly.
- 7 does not go into 89 exactly.
- 8 does not go into 89 exactly.
- 9 does not go into 89 exactly.
Stop at 10: 10 × 10 = 100, which is more than 89. The next pair you would find is 89 × 1, which is 1 × 89 turned round, so you already have every pair.
More numbers
Check whether 89 is prime.
Questions parents ask
What is the largest factor of 89, apart from 89 itself?
1. 89 is prime, so apart from 89 itself its only factor is 1.
What do the factors of 89 add up to?
90. Leaving out 89 itself, they add up to 1, which is less than 89, so 89 is called a deficient number.
Which number after 89 has the same number of factors?
97. Like 89, it has exactly 2 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.