Factors of 30
Every whole number that divides 30 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30.
Factor pairs of 30
| Pair | Makes |
|---|---|
| 1 × 30 | 30 |
| 2 × 15 | 30 |
| 3 × 10 | 30 |
| 5 × 6 | 30 |
Prime factors of 30
- Prime factorisation
- 30 = 2 × 3 × 5
- Is 30 prime?
- No. It has 8 factors, not just 1 and 30.
- Is 30 a square number?
- No. 5 × 5 = 25 and 6 × 6 = 36, so 30 falls between two square numbers.
How to find the factors of 30
30 is even, so 2 is sure to be a factor. Its digits add up to 3, a multiple of 3, so 3 is a factor. It ends in 0, so 5 is a factor. Work up from 1 to 5, and write down both numbers in every pair you find.
- 30 ÷ 1 = 30, so 1 × 30 is a pair.
- 30 ÷ 2 = 15, so 2 × 15 is a pair.
- 30 ÷ 3 = 10, so 3 × 10 is a pair.
- 4 does not go into 30 exactly.
- 30 ÷ 5 = 6, so 5 × 6 is a pair.
Stop at 6: 6 × 6 = 36, which is more than 30. The next pair you would find is 6 × 5, which is 5 × 6 turned round, so you already have every pair.
30 in the times tables
2 × 15 = 30, 3 × 10 = 30 and 5 × 6 = 30. Practise the 3 times table, 5 times table, 6 times table, 10 times table and 15 times table.
More numbers
Check whether 30 is prime.
Questions parents ask
What is the largest factor of 30, apart from 30 itself?
15. Divide 30 by its smallest factor above 1, which is 2: 30 ÷ 2 = 15.
What do the factors of 30 add up to?
72. Leaving out 30 itself, they add up to 42, which is more than 30, so 30 is called an abundant number.
Which number after 30 has the same number of factors?
40. Like 30, 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.