Q: What are the prime factors of the number 28,613,305?

 A: 5, 7, 116789

Why are those the prime factors of the number 28,613,305?

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 28,613,305

28,613,305
Factor Arrows
55,722,661
Factor Arrows
7817,523
Factor Arrows
7116,789

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:

5, 7, 116789

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 116,789 = 28,613,305

This can also be written as 51 x 72 x 116,7891 = 28,613,305

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


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