Q: What are the prime factors of the number 64,001,568?

 A: 2, 3, 666683

Why are those the prime factors of the number 64,001,568?

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 64,001,568

64,001,568
Factor Arrows
232,000,784
Factor Arrows
216,000,392
Factor Arrows
28,000,196
Factor Arrows
24,000,098
Factor Arrows
22,000,049
Factor Arrows
3666,683

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, 666683

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 666,683 = 64,001,568

This can also be written as 25 x 31 x 666,6831 = 64,001,568

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


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