Factors of 46
Every whole number that divides 46 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 46 are 1, 2, 23 and 46.
Factor pairs of 46
| Pair | Makes |
|---|---|
| 1 × 46 | 46 |
| 2 × 23 | 46 |
Prime factors of 46
- Prime factorisation
- 46 = 2 × 23
- Is 46 prime?
- No. It has 4 factors, not just 1 and 46.
- Is 46 a square number?
- No. 6 × 6 = 36 and 7 × 7 = 49, so 46 falls between two square numbers.
How to find the factors of 46
46 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.
- 46 ÷ 1 = 46, so 1 × 46 is a pair.
- 46 ÷ 2 = 23, so 2 × 23 is a pair.
- 3 does not go into 46 exactly.
- 4 does not go into 46 exactly.
- 5 does not go into 46 exactly.
- 6 does not go into 46 exactly.
Stop at 7: 7 × 7 = 49, which is more than 46. The next pair you would find is 23 × 2, which is 2 × 23 turned round, so you already have every pair.
More numbers
Check whether 46 is prime.
Questions parents ask
What is the largest factor of 46, apart from 46 itself?
23. Divide 46 by its smallest factor above 1, which is 2: 46 ÷ 2 = 23.
What do the factors of 46 add up to?
72. Leaving out 46 itself, they add up to 26, which is less than 46, so 46 is called a deficient number.
Which number after 46 has the same number of factors?
51. Like 46, it has exactly 4 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.