Q: What are the prime factors of the number 124,403,344?

 A: 2, 13, 598093

Why are those the prime factors of the number 124,403,344?

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 124,403,344

124,403,344
Factor Arrows
262,201,672
Factor Arrows
231,100,836
Factor Arrows
215,550,418
Factor Arrows
27,775,209
Factor Arrows
13598,093

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, 13, 598093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 598,093 = 124,403,344

This can also be written as 24 x 131 x 598,0931 = 124,403,344

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


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