Q: What are the prime factors of the number 118,725,888?

 A: 2, 3, 154591

Why are those the prime factors of the number 118,725,888?

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 118,725,888

118,725,888
Factor Arrows
259,362,944
Factor Arrows
229,681,472
Factor Arrows
214,840,736
Factor Arrows
27,420,368
Factor Arrows
23,710,184
Factor Arrows
21,855,092
Factor Arrows
2927,546
Factor Arrows
2463,773
Factor Arrows
3154,591

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, 154591

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 2 x 2 x 3 x 154,591 = 118,725,888

This can also be written as 28 x 31 x 154,5911 = 118,725,888

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


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