Prime Factorization of 138

What is the Prime Factorization of 138?

Answer: Prime Factors of 138: 2, 3, 23

Explanation of number 138 Prime Factorization

Prime Factorization of 138 it is expressing 138 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 138.

Since number 138 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 138, we have to iteratively divide 138 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 138:

The smallest Prime Number which can divide 138 without a remainder is 2. So the first calculation step would look like:

138 ÷ 2 = 69

Now we repeat this action until the result equals 1:

69 ÷ 3 = 23

23 ÷ 23 = 1

Now we have all the Prime Factors for number 138. It is: 2, 3, 23

Prime Factor Tree of 138

We may also express the prime factorization of 138 as a Factor Tree:

Prime factors of 138 factorization tree of 138

Prime Factorization Table

NumberPrime Factors
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
137
2, 3, 23
139
22 × 5 × 7
3, 47
2, 71
11, 13
24 × 32
5, 29
2, 73
3 × 72
22 × 37
149
2 × 3 × 52
151
23 × 19

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 138? (The answer is: 2, 3, 23). Pick the number for factorization (e.g. '138'). 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 138?

Prime Factors of 138: 2, 3, 23

How many prime factors does 138 have?

Number 138 has 3 Prime Factors