Factors of 44
Every whole number that divides 44 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 44 are 1, 2, 4, 11, 22 and 44.
Factor pairs of 44
| Pair | Makes |
|---|---|
| 1 × 44 | 44 |
| 2 × 22 | 44 |
| 4 × 11 | 44 |
Prime factors of 44
- Prime factorisation
- 44 = 2 × 2 × 11 (2² × 11)
- Reading index form
- A small raised number tells you how many times to use that factor. For example, 2³ means 2 × 2 × 2.
- Is 44 prime?
- No. It has 6 factors, not just 1 and 44.
- Is 44 a square number?
- No. 6 × 6 = 36 and 7 × 7 = 49, so 44 falls between two square numbers.
How to find the factors of 44
44 is even, so 2 is sure to be a factor. Work up from 1 to 6, and write down both numbers in every pair you find.
- 44 ÷ 1 = 44, so 1 × 44 is a pair.
- 44 ÷ 2 = 22, so 2 × 22 is a pair.
- 3 does not go into 44 exactly.
- 44 ÷ 4 = 11, so 4 × 11 is a pair.
- 5 does not go into 44 exactly.
- 6 does not go into 44 exactly.
Stop at 7: 7 × 7 = 49, which is more than 44. The next pair you would find is 11 × 4, which is 4 × 11 turned round, so you already have every pair.
44 in the times tables
4 × 11 = 44. Practise the 4 times table and 11 times table.
More numbers
Check whether 44 is prime.
Questions parents ask
What is the largest factor of 44, apart from 44 itself?
22. Divide 44 by its smallest factor above 1, which is 2: 44 ÷ 2 = 22.
What do the factors of 44 add up to?
84. Leaving out 44 itself, they add up to 40, which is less than 44, so 44 is called a deficient number.
Which number after 44 has the same number of factors?
45. Like 44, it has exactly 6 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.