Q: What are the prime factors of the number 124,590,768?

 A: 2, 3, 2595641

Why are those the prime factors of the number 124,590,768?

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 124,590,768

124,590,768
Factor Arrows
262,295,384
Factor Arrows
231,147,692
Factor Arrows
215,573,846
Factor Arrows
27,786,923
Factor Arrows
32,595,641

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, 2595641

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 2,595,641 = 124,590,768

This can also be written as 24 x 31 x 2,595,6411 = 124,590,768

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


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