Factors of 39
Every whole number that divides 39 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 39 are 1, 3, 13 and 39.
Factor pairs of 39
| Pair | Makes |
|---|---|
| 1 × 39 | 39 |
| 3 × 13 | 39 |
Prime factors of 39
- Prime factorisation
- 39 = 3 × 13
- Is 39 prime?
- No. It has 4 factors, not just 1 and 39.
- Is 39 a square number?
- No. 6 × 6 = 36 and 7 × 7 = 49, so 39 falls between two square numbers.
How to find the factors of 39
39 is odd, so every even number you try will fail. Its digits add up to 12, a multiple of 3, so 3 is a factor. Work up from 1 to 6, and write down both numbers in every pair you find.
- 39 ÷ 1 = 39, so 1 × 39 is a pair.
- 2 does not go into 39 exactly.
- 39 ÷ 3 = 13, so 3 × 13 is a pair.
- 4 does not go into 39 exactly.
- 5 does not go into 39 exactly.
- 6 does not go into 39 exactly.
Stop at 7: 7 × 7 = 49, which is more than 39. The next pair you would find is 13 × 3, which is 3 × 13 turned round, so you already have every pair.
39 in the times tables
3 × 13 = 39. Practise the 13 times table.
More numbers
Check whether 39 is prime.
Questions parents ask
What is the largest factor of 39, apart from 39 itself?
13. Divide 39 by its smallest factor above 1, which is 3: 39 ÷ 3 = 13.
What do the factors of 39 add up to?
56. Leaving out 39 itself, they add up to 17, which is less than 39, so 39 is called a deficient number.
Which number after 39 has the same number of factors?
46. Like 39, it has exactly 4 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.