Q: What are the prime factors of the number 64,206,585?

 A: 3, 5, 53, 26921

Why are those the prime factors of the number 64,206,585?

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 64,206,585

64,206,585
Factor Arrows
321,402,195
Factor Arrows
37,134,065
Factor Arrows
51,426,813
Factor Arrows
5326,921

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:

3, 5, 53, 26921

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 53 x 26,921 = 64,206,585

This can also be written as 32 x 51 x 531 x 26,9211 = 64,206,585

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


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