Q: What are the prime factors of the number 664,235,456?

 A: 2, 107, 96997

Why are those the prime factors of the number 664,235,456?

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 664,235,456

664,235,456
Factor Arrows
2332,117,728
Factor Arrows
2166,058,864
Factor Arrows
283,029,432
Factor Arrows
241,514,716
Factor Arrows
220,757,358
Factor Arrows
210,378,679
Factor Arrows
10796,997

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, 107, 96997

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 107 x 96,997 = 664,235,456

This can also be written as 26 x 1071 x 96,9971 = 664,235,456

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


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