Q: What are the prime factors of the number 63,266,160?

 A: 2, 3, 5, 263609

Why are those the prime factors of the number 63,266,160?

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 63,266,160

63,266,160
Factor Arrows
231,633,080
Factor Arrows
215,816,540
Factor Arrows
27,908,270
Factor Arrows
23,954,135
Factor Arrows
31,318,045
Factor Arrows
5263,609

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, 263609

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 263,609 = 63,266,160

This can also be written as 24 x 31 x 51 x 263,6091 = 63,266,160

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


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