Prime Factorization of 106

What is the Prime Factorization of 106?

Answer: Prime Factors of 106: 2, 53

Explanation of number 106 Prime Factorization

Prime Factorization of 106 it is expressing 106 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 106.

Since number 106 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 106, we have to iteratively divide 106 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 106:

The smallest Prime Number which can divide 106 without a remainder is 2. So the first calculation step would look like:

106 ÷ 2 = 53

Now we repeat this action until the result equals 1:

53 ÷ 53 = 1

Now we have all the Prime Factors for number 106. It is: 2, 53

Prime Factor Tree of 106

We may also express the prime factorization of 106 as a Factor Tree:

Prime factors of 106 factorization tree of 106

Prime Factorization Table

NumberPrime Factors
7, 13
22 × 23
3, 31
2, 47
5, 19
25 × 3
97
2 × 72
32 × 11
22 × 52
101
2, 3, 17
103
23 × 13
3, 5, 7
2, 53
107
22 × 33
109
2, 5, 11
3, 37
24 × 7
113
2, 3, 19
5, 23
22 × 29
32 × 13
2, 59
7, 17
23 × 3 × 5

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 106? (The answer is: 2, 53). Pick the number for factorization (e.g. '106'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 106?

Prime Factors of 106: 2, 53

How many prime factors does 106 have?

Number 106 has 2 Prime Factors