Factors of 92
Every whole number that divides 92 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 92 are 1, 2, 4, 23, 46 and 92.
Factor pairs of 92
| Pair | Makes |
|---|---|
| 1 × 92 | 92 |
| 2 × 46 | 92 |
| 4 × 23 | 92 |
Prime factors of 92
- Prime factorisation
- 92 = 2 × 2 × 23 (2² × 23)
- Reading index form
- A small raised number tells you how many times to use that factor. For example, 2³ means 2 × 2 × 2.
- Is 92 prime?
- No. It has 6 factors, not just 1 and 92.
- Is 92 a square number?
- No. 9 × 9 = 81 and 10 × 10 = 100, so 92 falls between two square numbers.
How to find the factors of 92
92 is even, so 2 is sure to be a factor. Work up from 1 to 9, and write down both numbers in every pair you find.
- 92 ÷ 1 = 92, so 1 × 92 is a pair.
- 92 ÷ 2 = 46, so 2 × 46 is a pair.
- 3 does not go into 92 exactly.
- 92 ÷ 4 = 23, so 4 × 23 is a pair.
- 5 does not go into 92 exactly.
- 6 does not go into 92 exactly.
- 7 does not go into 92 exactly.
- 8 does not go into 92 exactly.
- 9 does not go into 92 exactly.
Stop at 10: 10 × 10 = 100, which is more than 92. The next pair you would find is 23 × 4, which is 4 × 23 turned round, so you already have every pair.
More numbers
Check whether 92 is prime.
Questions parents ask
What is the largest factor of 92, apart from 92 itself?
46. Divide 92 by its smallest factor above 1, which is 2: 92 ÷ 2 = 46.
What do the factors of 92 add up to?
168. Leaving out 92 itself, they add up to 76, which is less than 92, so 92 is called a deficient number.
Which number after 92 has the same number of factors?
98. Like 92, it has exactly 6 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.