Factors of 35
Every whole number that divides 35 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 35 are 1, 5, 7 and 35.
Factor pairs of 35
| Pair | Makes |
|---|---|
| 1 × 35 | 35 |
| 5 × 7 | 35 |
Prime factors of 35
- Prime factorisation
- 35 = 5 × 7
- Is 35 prime?
- No. It has 4 factors, not just 1 and 35.
- Is 35 a square number?
- No. 5 × 5 = 25 and 6 × 6 = 36, so 35 falls between two square numbers.
How to find the factors of 35
35 is odd, so every even number you try will fail. It ends in 5, so 5 is a factor. Work up from 1 to 5, and write down both numbers in every pair you find.
- 35 ÷ 1 = 35, so 1 × 35 is a pair.
- 2 does not go into 35 exactly.
- 3 does not go into 35 exactly.
- 4 does not go into 35 exactly.
- 35 ÷ 5 = 7, so 5 × 7 is a pair.
Stop at 6: 6 × 6 = 36, which is more than 35. The next pair you would find is 7 × 5, which is 5 × 7 turned round, so you already have every pair.
35 in the times tables
5 × 7 = 35. Practise the 5 times table and 7 times table.
More numbers
Check whether 35 is prime.
Questions parents ask
What is the largest factor of 35, apart from 35 itself?
7. Divide 35 by its smallest factor above 1, which is 5: 35 ÷ 5 = 7.
What do the factors of 35 add up to?
48. Leaving out 35 itself, they add up to 13, which is less than 35, so 35 is called a deficient number.
Which number after 35 has the same number of factors?
38. Like 35, it has exactly 4 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.