Q: What are the prime factors of the number 64,853,580?

 A: 2, 3, 5, 11, 8933

Why are those the prime factors of the number 64,853,580?

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 64,853,580

64,853,580
Factor Arrows
232,426,790
Factor Arrows
216,213,395
Factor Arrows
35,404,465
Factor Arrows
51,080,893
Factor Arrows
1198,263
Factor Arrows
118,933

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, 11, 8933

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 11 x 8,933 = 64,853,580

This can also be written as 22 x 31 x 51 x 112 x 8,9331 = 64,853,580

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


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