Q: What are the prime factors of the number 125,670,464?

 A: 2, 113, 17377

Why are those the prime factors of the number 125,670,464?

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 125,670,464

125,670,464
Factor Arrows
262,835,232
Factor Arrows
231,417,616
Factor Arrows
215,708,808
Factor Arrows
27,854,404
Factor Arrows
23,927,202
Factor Arrows
21,963,601
Factor Arrows
11317,377

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, 113, 17377

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 113 x 17,377 = 125,670,464

This can also be written as 26 x 1131 x 17,3771 = 125,670,464

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


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