Q: What are the prime factors of the number 124,607,232?

 A: 2, 3, 54083

Why are those the prime factors of the number 124,607,232?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 124,607,232

124,607,232
Factor Arrows
262,303,616
Factor Arrows
231,151,808
Factor Arrows
215,575,904
Factor Arrows
27,787,952
Factor Arrows
23,893,976
Factor Arrows
21,946,988
Factor Arrows
2973,494
Factor Arrows
2486,747
Factor Arrows
3162,249
Factor Arrows
354,083

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 54083

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 54,083 = 124,607,232

This can also be written as 28 x 32 x 54,0831 = 124,607,232

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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