Prime Factorization of 82

What is the Prime Factorization of 82?

Answer: Prime Factors of 82: 2, 41

Explanation of number 82 Prime Factorization

Prime Factorization of 82 it is expressing 82 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 82.

Since number 82 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 82, we have to iteratively divide 82 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 82:

The smallest Prime Number which can divide 82 without a remainder is 2. So the first calculation step would look like:

82 ÷ 2 = 41

Now we repeat this action until the result equals 1:

41 ÷ 41 = 1

Now we have all the Prime Factors for number 82. It is: 2, 41

Prime Factor Tree of 82

We may also express the prime factorization of 82 as a Factor Tree:

See Also

About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 82? (The answer is: 2, 41). Pick the number for factorization (e.g. '82'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
67
22 × 17
3, 23
2, 5, 7
71
23 × 32
73
2, 37
3 × 52
22 × 19
7, 11
2, 3, 13
79
24 × 5
34
2, 41
83
22 × 3 × 7
5, 17
2, 43
3, 29
23 × 11
89
2 × 32 × 5
7, 13
22 × 23
3, 31
2, 47
5, 19
25 × 3

FAQ

What is the Prime Factorization of 82?

Prime Factors of 82: 2, 41

How many prime factors does 82 have?

Number 82 has 2 Prime Factors