Factors of 97
Every whole number that divides 97 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 97 are 1 and 97. 97 is a prime number.
Factor pairs of 97
| Pair | Makes |
|---|---|
| 1 × 97 | 97 |
Prime factors of 97
- Prime factorisation
- 97 = 97
- Is 97 prime?
- Yes. It is the 25th prime number.
- Is 97 a square number?
- No. 9 × 9 = 81 and 10 × 10 = 100, so 97 falls between two square numbers.
How to find the factors of 97
97 is prime, so the only pair you will find is 1 × 97. Work up from 1 to 9, and write down both numbers in every pair you find.
- 97 ÷ 1 = 97, so 1 × 97 is a pair.
- 2 does not go into 97 exactly.
- 3 does not go into 97 exactly.
- 4 does not go into 97 exactly.
- 5 does not go into 97 exactly.
- 6 does not go into 97 exactly.
- 7 does not go into 97 exactly.
- 8 does not go into 97 exactly.
- 9 does not go into 97 exactly.
Stop at 10: 10 × 10 = 100, which is more than 97. The next pair you would find is 97 × 1, which is 1 × 97 turned round, so you already have every pair.
More numbers
Check whether 97 is prime.
Questions parents ask
What is the largest factor of 97, apart from 97 itself?
1. 97 is prime, so apart from 97 itself its only factor is 1.
What do the factors of 97 add up to?
98. Leaving out 97 itself, they add up to 1, which is less than 97, so 97 is called a deficient number.
Which number after 97 has the same number of factors?
101. Like 97, 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.