Q: What are the prime factors of the number 64,165,464?

 A: 2, 3, 11, 81017

Why are those the prime factors of the number 64,165,464?

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 64,165,464

64,165,464
Factor Arrows
232,082,732
Factor Arrows
216,041,366
Factor Arrows
28,020,683
Factor Arrows
32,673,561
Factor Arrows
3891,187
Factor Arrows
1181,017

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, 11, 81017

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 11 x 81,017 = 64,165,464

This can also be written as 23 x 32 x 111 x 81,0171 = 64,165,464

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


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