Q: What are the prime factors of the number 664,065,280?

 A: 2, 5, 518801

Why are those the prime factors of the number 664,065,280?

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 664,065,280

664,065,280
Factor Arrows
2332,032,640
Factor Arrows
2166,016,320
Factor Arrows
283,008,160
Factor Arrows
241,504,080
Factor Arrows
220,752,040
Factor Arrows
210,376,020
Factor Arrows
25,188,010
Factor Arrows
22,594,005
Factor Arrows
5518,801

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, 5, 518801

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 2 x 2 x 5 x 518,801 = 664,065,280

This can also be written as 28 x 51 x 518,8011 = 664,065,280

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


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