Q: What are the prime factors of the number 118,625,696?

 A: 2, 7, 529579

Why are those the prime factors of the number 118,625,696?

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 118,625,696

118,625,696
Factor Arrows
259,312,848
Factor Arrows
229,656,424
Factor Arrows
214,828,212
Factor Arrows
27,414,106
Factor Arrows
23,707,053
Factor Arrows
7529,579

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, 7, 529579

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 529,579 = 118,625,696

This can also be written as 25 x 71 x 529,5791 = 118,625,696

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


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