Q: What are the prime factors of the number 117,887,360?

 A: 2, 5, 184199

Why are those the prime factors of the number 117,887,360?

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 117,887,360

117,887,360
Factor Arrows
258,943,680
Factor Arrows
229,471,840
Factor Arrows
214,735,920
Factor Arrows
27,367,960
Factor Arrows
23,683,980
Factor Arrows
21,841,990
Factor Arrows
2920,995
Factor Arrows
5184,199

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, 5, 184199

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 5 x 184,199 = 117,887,360

This can also be written as 27 x 51 x 184,1991 = 117,887,360

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


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