Prime Factorization of 122

What is the Prime Factorization of 122?

Answer: Prime Factors of 122: 2, 61

Explanation of number 122 Prime Factorization

Prime Factorization of 122 it is expressing 122 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 122.

Since number 122 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 122, we have to iteratively divide 122 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 122:

The smallest Prime Number which can divide 122 without a remainder is 2. So the first calculation step would look like:

122 ÷ 2 = 61

Now we repeat this action until the result equals 1:

61 ÷ 61 = 1

Now we have all the Prime Factors for number 122. It is: 2, 61

Prime Factor Tree of 122

We may also express the prime factorization of 122 as a Factor Tree:

Prime factors of 122 factorization tree of 122

Prime Factorization Table

NumberPrime Factors
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
112
2, 61
3, 41
22 × 31
53
2 × 32 × 7
127
27
3, 43
2, 5, 13
131
22 × 3 × 11
7, 19
2, 67
33 × 5
23 × 17

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 122? (The answer is: 2, 61). Pick the number for factorization (e.g. '122'). 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 122?

Prime Factors of 122: 2, 61

How many prime factors does 122 have?

Number 122 has 2 Prime Factors