Factors of 82
The factors of 82 are 1, 2, 41, 82. No, 82 is a composite number. Its prime factorization is 2 × 41.
Factor pairs of 82
Every factor has a partner that multiplies with it to give 82. Listing pairs from the outside in is the fastest way to find all the factors: once the two numbers in a pair meet in the middle, you have them all.
| Pair | Check |
|---|---|
| 1 and 82 | 1 × 82 = 82 |
| 2 and 41 | 2 × 41 = 82 |
Prime factorization of 82, step by step
Divide by the smallest prime that goes in evenly, then repeat on the result until you reach 1. The divisors you used are the prime factors.
| Step | Divide | Result |
|---|---|---|
| 1 | 82 ÷ 2 | 41 |
| 2 | 41 ÷ 41 | 1 |
So 82 = 2 × 41, written compactly as 2 × 41.
Divisibility checks for 82
The quick rules a student uses before dividing, applied to 82:
| Divisible by | Rule | For 82 | Result |
|---|---|---|---|
| 2 | last digit is even | last digit 2 | yes |
| 3 | digit sum divisible by 3 | digits add to 10 | no |
| 4 | last two digits divisible by 4 | 82 ÷ 4 | no |
| 5 | last digit is 0 or 5 | last digit 2 | no |
| 6 | divisible by both 2 and 3 | even, digit sum 10 | no |
| 8 | last three digits divisible by 8 | 82 ÷ 8 | no |
| 9 | digit sum divisible by 9 | digits add to 10 | no |
| 10 | last digit is 0 | last digit 2 | no |
Frequently Asked Questions
What are the factors of 82?
The factors of 82 are 1, 2, 41, 82.
Is 82 a prime number?
No, 82 is a composite number. Its prime factorization is 2 × 41.
How many factors does 82 have?
82 has 4 factors. You can get that count from the prime factorization without listing them: add 1 to each exponent in 2 × 41 and multiply -- (1+1) × (1+1) = 4.
Is 82 even or odd?
82 is even (2 is one of its factors).
What is the sum of the factors of 82?
1 + 2 + 41 + 82 = 126. Leaving out 82 itself, the proper factors add to 44, less than 82, so 82 is a deficient number.
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