Factors of 65
Every whole number that divides 65 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 65 are 1, 5, 13 and 65.
Factor pairs of 65
| Pair | Makes |
|---|---|
| 1 × 65 | 65 |
| 5 × 13 | 65 |
Prime factors of 65
- Prime factorisation
- 65 = 5 × 13
- Is 65 prime?
- No. It has 4 factors, not just 1 and 65.
- Is 65 a square number?
- No. 8 × 8 = 64 and 9 × 9 = 81, so 65 falls between two square numbers.
How to find the factors of 65
65 is odd, so every even number you try will fail. It ends in 5, so 5 is a factor. Work up from 1 to 8, and write down both numbers in every pair you find.
- 65 ÷ 1 = 65, so 1 × 65 is a pair.
- 2 does not go into 65 exactly.
- 3 does not go into 65 exactly.
- 4 does not go into 65 exactly.
- 65 ÷ 5 = 13, so 5 × 13 is a pair.
- 6 does not go into 65 exactly.
- 7 does not go into 65 exactly.
- 8 does not go into 65 exactly.
Stop at 9: 9 × 9 = 81, which is more than 65. The next pair you would find is 13 × 5, which is 5 × 13 turned round, so you already have every pair.
65 in the times tables
5 × 13 = 65. Practise the 13 times table.
More numbers
Check whether 65 is prime.
Questions parents ask
What is the largest factor of 65, apart from 65 itself?
13. Divide 65 by its smallest factor above 1, which is 5: 65 ÷ 5 = 13.
What do the factors of 65 add up to?
84. Leaving out 65 itself, they add up to 19, which is less than 65, so 65 is called a deficient number.
Which number after 65 has the same number of factors?
69. Like 65, it has exactly 4 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.