Q: What are the prime factors of the number 64,663,216?

 A: 2, 619, 6529

Why are those the prime factors of the number 64,663,216?

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 64,663,216

64,663,216
Factor Arrows
232,331,608
Factor Arrows
216,165,804
Factor Arrows
28,082,902
Factor Arrows
24,041,451
Factor Arrows
6196,529

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, 619, 6529

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 619 x 6,529 = 64,663,216

This can also be written as 24 x 6191 x 6,5291 = 64,663,216

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


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