Factors of 34
Every whole number that divides 34 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 34 are 1, 2, 17 and 34.
Factor pairs of 34
| Pair | Makes |
|---|---|
| 1 × 34 | 34 |
| 2 × 17 | 34 |
Prime factors of 34
- Prime factorisation
- 34 = 2 × 17
- Is 34 prime?
- No. It has 4 factors, not just 1 and 34.
- Is 34 a square number?
- No. 5 × 5 = 25 and 6 × 6 = 36, so 34 falls between two square numbers.
How to find the factors of 34
34 is even, so 2 is sure to be a factor. Work up from 1 to 5, and write down both numbers in every pair you find.
- 34 ÷ 1 = 34, so 1 × 34 is a pair.
- 34 ÷ 2 = 17, so 2 × 17 is a pair.
- 3 does not go into 34 exactly.
- 4 does not go into 34 exactly.
- 5 does not go into 34 exactly.
Stop at 6: 6 × 6 = 36, which is more than 34. The next pair you would find is 17 × 2, which is 2 × 17 turned round, so you already have every pair.
34 in the times tables
2 × 17 = 34. Practise the 17 times table.
More numbers
Check whether 34 is prime.
Questions parents ask
What is the largest factor of 34, apart from 34 itself?
17. Divide 34 by its smallest factor above 1, which is 2: 34 ÷ 2 = 17.
What do the factors of 34 add up to?
54. Leaving out 34 itself, they add up to 20, which is less than 34, so 34 is called a deficient number.
Which number after 34 has the same number of factors?
35. Like 34, it has exactly 4 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.