Factors of 22
Every whole number that divides 22 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 22 are 1, 2, 11 and 22.
Factor pairs of 22
| Pair | Makes |
|---|---|
| 1 × 22 | 22 |
| 2 × 11 | 22 |
Prime factors of 22
- Prime factorisation
- 22 = 2 × 11
- Is 22 prime?
- No. It has 4 factors, not just 1 and 22.
- Is 22 a square number?
- No. 4 × 4 = 16 and 5 × 5 = 25, so 22 falls between two square numbers.
How to find the factors of 22
22 is even, so 2 is sure to be a factor. Work up from 1 to 4, and write down both numbers in every pair you find.
- 22 ÷ 1 = 22, so 1 × 22 is a pair.
- 22 ÷ 2 = 11, so 2 × 11 is a pair.
- 3 does not go into 22 exactly.
- 4 does not go into 22 exactly.
Stop at 5: 5 × 5 = 25, which is more than 22. The next pair you would find is 11 × 2, which is 2 × 11 turned round, so you already have every pair.
22 in the times tables
2 × 11 = 22. Practise the 2 times table and 11 times table.
More numbers
Check whether 22 is prime.
Questions parents ask
What is the largest factor of 22, apart from 22 itself?
11. Divide 22 by its smallest factor above 1, which is 2: 22 ÷ 2 = 11.
What do the factors of 22 add up to?
36. Leaving out 22 itself, they add up to 14, which is less than 22, so 22 is called a deficient number.
Which number after 22 has the same number of factors?
26. Like 22, it has exactly 4 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.