Q: What are the prime factors of the number 64,111,808?

 A: 2, 29, 34543

Why are those the prime factors of the number 64,111,808?

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 64,111,808

64,111,808
Factor Arrows
232,055,904
Factor Arrows
216,027,952
Factor Arrows
28,013,976
Factor Arrows
24,006,988
Factor Arrows
22,003,494
Factor Arrows
21,001,747
Factor Arrows
2934,543

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, 29, 34543

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 29 x 34,543 = 64,111,808

This can also be written as 26 x 291 x 34,5431 = 64,111,808

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


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