Q: What are the prime factors of the number 664,014,164?

 A: 2, 11, 15091231

Why are those the prime factors of the number 664,014,164?

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 664,014,164

664,014,164
Factor Arrows
2332,007,082
Factor Arrows
2166,003,541
Factor Arrows
1115,091,231

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, 11, 15091231

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 15,091,231 = 664,014,164

This can also be written as 22 x 111 x 15,091,2311 = 664,014,164

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


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