Q: What are the prime factors of the number 63,666,464?

 A: 2, 109, 18253

Why are those the prime factors of the number 63,666,464?

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 63,666,464

63,666,464
Factor Arrows
231,833,232
Factor Arrows
215,916,616
Factor Arrows
27,958,308
Factor Arrows
23,979,154
Factor Arrows
21,989,577
Factor Arrows
10918,253

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, 109, 18253

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 109 x 18,253 = 63,666,464

This can also be written as 25 x 1091 x 18,2531 = 63,666,464

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


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