Q: What are the prime factors of the number 116,828,640?

 A: 2, 3, 5, 81131

Why are those the prime factors of the number 116,828,640?

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 116,828,640

116,828,640
Factor Arrows
258,414,320
Factor Arrows
229,207,160
Factor Arrows
214,603,580
Factor Arrows
27,301,790
Factor Arrows
23,650,895
Factor Arrows
31,216,965
Factor Arrows
3405,655
Factor Arrows
581,131

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, 81131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 81,131 = 116,828,640

This can also be written as 25 x 32 x 51 x 81,1311 = 116,828,640

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


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