Q: What are the prime factors of the number 118,744,350?

 A: 2, 3, 5, 791629

Why are those the prime factors of the number 118,744,350?

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 118,744,350

118,744,350
Factor Arrows
259,372,175
Factor Arrows
319,790,725
Factor Arrows
53,958,145
Factor Arrows
5791,629

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, 5, 791629

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 791,629 = 118,744,350

This can also be written as 21 x 31 x 52 x 791,6291 = 118,744,350

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


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