Factors of 70
Every whole number that divides 70 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 70 are 1, 2, 5, 7, 10, 14, 35 and 70.
Factor pairs of 70
| Pair | Makes |
|---|---|
| 1 × 70 | 70 |
| 2 × 35 | 70 |
| 5 × 14 | 70 |
| 7 × 10 | 70 |
Prime factors of 70
- Prime factorisation
- 70 = 2 × 5 × 7
- Is 70 prime?
- No. It has 8 factors, not just 1 and 70.
- Is 70 a square number?
- No. 8 × 8 = 64 and 9 × 9 = 81, so 70 falls between two square numbers.
How to find the factors of 70
70 is even, so 2 is sure to be a factor. It ends in 0, so 5 is a factor. Work up from 1 to 8, and write down both numbers in every pair you find.
- 70 ÷ 1 = 70, so 1 × 70 is a pair.
- 70 ÷ 2 = 35, so 2 × 35 is a pair.
- 3 does not go into 70 exactly.
- 4 does not go into 70 exactly.
- 70 ÷ 5 = 14, so 5 × 14 is a pair.
- 6 does not go into 70 exactly.
- 70 ÷ 7 = 10, so 7 × 10 is a pair.
- 8 does not go into 70 exactly.
Stop at 9: 9 × 9 = 81, which is more than 70. The next pair you would find is 10 × 7, which is 7 × 10 turned round, so you already have every pair.
70 in the times tables
5 × 14 = 70 and 7 × 10 = 70. Practise the 7 times table, 10 times table and 14 times table.
More numbers
Check whether 70 is prime.
Questions parents ask
What is the largest factor of 70, apart from 70 itself?
35. Divide 70 by its smallest factor above 1, which is 2: 70 ÷ 2 = 35.
What do the factors of 70 add up to?
144. Leaving out 70 itself, they add up to 74, which is more than 70, so 70 is called an abundant number.
Which number after 70 has the same number of factors?
78. Like 70, it has exactly 8 factors.
Number facts are the base of 11+ maths
Factors, multiples, primes and square numbers come up all over 11+ maths, from simplifying fractions to ratio. The free diagnostic checks maths, English and both kinds of reasoning, and shows what to practise next. No card is required.