Q: What are the prime factors of the number 124,332,864?

 A: 2, 3, 241, 2687

Why are those the prime factors of the number 124,332,864?

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 124,332,864

124,332,864
Factor Arrows
262,166,432
Factor Arrows
231,083,216
Factor Arrows
215,541,608
Factor Arrows
27,770,804
Factor Arrows
23,885,402
Factor Arrows
21,942,701
Factor Arrows
3647,567
Factor Arrows
2412,687

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, 241, 2687

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 3 x 241 x 2,687 = 124,332,864

This can also be written as 26 x 31 x 2411 x 2,6871 = 124,332,864

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


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