Q: What are the prime factors of the number 664,125,536?

 A: 2, 17, 1220819

Why are those the prime factors of the number 664,125,536?

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 664,125,536

664,125,536
Factor Arrows
2332,062,768
Factor Arrows
2166,031,384
Factor Arrows
283,015,692
Factor Arrows
241,507,846
Factor Arrows
220,753,923
Factor Arrows
171,220,819

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, 17, 1220819

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 1,220,819 = 664,125,536

This can also be written as 25 x 171 x 1,220,8191 = 664,125,536

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


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