Factors of 82
Every whole number that divides 82 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 82 are 1, 2, 41 and 82.
Factor pairs of 82
| Pair | Makes |
|---|---|
| 1 × 82 | 82 |
| 2 × 41 | 82 |
Prime factors of 82
- Prime factorisation
- 82 = 2 × 41
- Is 82 prime?
- No. It has 4 factors, not just 1 and 82.
- Is 82 a square number?
- No. 9 × 9 = 81 and 10 × 10 = 100, so 82 falls between two square numbers.
How to find the factors of 82
82 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.
- 82 ÷ 1 = 82, so 1 × 82 is a pair.
- 82 ÷ 2 = 41, so 2 × 41 is a pair.
- 3 does not go into 82 exactly.
- 4 does not go into 82 exactly.
- 5 does not go into 82 exactly.
- 6 does not go into 82 exactly.
- 7 does not go into 82 exactly.
- 8 does not go into 82 exactly.
- 9 does not go into 82 exactly.
Stop at 10: 10 × 10 = 100, which is more than 82. The next pair you would find is 41 × 2, which is 2 × 41 turned round, so you already have every pair.
More numbers
Check whether 82 is prime.
Questions parents ask
What is the largest factor of 82, apart from 82 itself?
41. Divide 82 by its smallest factor above 1, which is 2: 82 ÷ 2 = 41.
What do the factors of 82 add up to?
126. Leaving out 82 itself, they add up to 44, which is less than 82, so 82 is called a deficient number.
Which number after 82 has the same number of factors?
85. Like 82, it has exactly 4 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.