Q: What are the prime factors of the number 664,235,460?

 A: 2, 3, 5, 7, 317, 1663

Why are those the prime factors of the number 664,235,460?

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 664,235,460

664,235,460
Factor Arrows
2332,117,730
Factor Arrows
2166,058,865
Factor Arrows
355,352,955
Factor Arrows
318,450,985
Factor Arrows
53,690,197
Factor Arrows
7527,171
Factor Arrows
3171,663

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, 5, 7, 317, 1663

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 7 x 317 x 1,663 = 664,235,460

This can also be written as 22 x 32 x 51 x 71 x 3171 x 1,6631 = 664,235,460

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


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