Q: What are the prime factors of the number 63,052,640?

 A: 2, 5, 7, 19, 2963

Why are those the prime factors of the number 63,052,640?

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 63,052,640

63,052,640
Factor Arrows
231,526,320
Factor Arrows
215,763,160
Factor Arrows
27,881,580
Factor Arrows
23,940,790
Factor Arrows
21,970,395
Factor Arrows
5394,079
Factor Arrows
756,297
Factor Arrows
192,963

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, 7, 19, 2963

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 7 x 19 x 2,963 = 63,052,640

This can also be written as 25 x 51 x 71 x 191 x 2,9631 = 63,052,640

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


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