Prime Factorization of 124

What is the Prime Factorization of 124?

Answer: Prime Factors of 124: 2, 2, 31

or

22 × 31

Explanation of number 124 Prime Factorization

Prime Factorization of 124 it is expressing 124 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 124.

Since number 124 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 124, we have to iteratively divide 124 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 124:

The smallest Prime Number which can divide 124 without a remainder is 2. So the first calculation step would look like:

124 ÷ 2 = 62

Now we repeat this action until the result equals 1:

62 ÷ 2 = 31

31 ÷ 31 = 1

Now we have all the Prime Factors for number 124. It is: 2, 2, 31

Or you may also write it in exponential form: 22 × 31

Prime Factor Tree of 124

We may also express the prime factorization of 124 as a Factor Tree:

Prime factors of 124 factorization tree of 124

Prime Factorization Table

NumberPrime Factors
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
137
2, 3, 23

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 124? (The answer is: 2, 2, 31). Pick the number for factorization (e.g. '124'). 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 124?

Prime Factors of 124: 2, 2, 31

How many prime factors does 124 have?

Number 124 has 3 Prime Factors

What is the Prime Factorization of 124 in exponential form?

The Prime Factorization of the number 124 in the exponential form is: 22 × 31