Factors of 69
Every whole number that divides 69 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 69 are 1, 3, 23 and 69.
Factor pairs of 69
| Pair | Makes |
|---|---|
| 1 × 69 | 69 |
| 3 × 23 | 69 |
Prime factors of 69
- Prime factorisation
- 69 = 3 × 23
- Is 69 prime?
- No. It has 4 factors, not just 1 and 69.
- Is 69 a square number?
- No. 8 × 8 = 64 and 9 × 9 = 81, so 69 falls between two square numbers.
How to find the factors of 69
69 is odd, so every even number you try will fail. Its digits add up to 15, a multiple of 3, so 3 is a factor. Work up from 1 to 8, and write down both numbers in every pair you find.
- 69 ÷ 1 = 69, so 1 × 69 is a pair.
- 2 does not go into 69 exactly.
- 69 ÷ 3 = 23, so 3 × 23 is a pair.
- 4 does not go into 69 exactly.
- 5 does not go into 69 exactly.
- 6 does not go into 69 exactly.
- 7 does not go into 69 exactly.
- 8 does not go into 69 exactly.
Stop at 9: 9 × 9 = 81, which is more than 69. The next pair you would find is 23 × 3, which is 3 × 23 turned round, so you already have every pair.
More numbers
Check whether 69 is prime.
Questions parents ask
What is the largest factor of 69, apart from 69 itself?
23. Divide 69 by its smallest factor above 1, which is 3: 69 ÷ 3 = 23.
What do the factors of 69 add up to?
96. Leaving out 69 itself, they add up to 27, which is less than 69, so 69 is called a deficient number.
Which number after 69 has the same number of factors?
74. Like 69, it has exactly 4 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.