Q: What are the prime factors of the number 57,018,605?

 A: 5, 7, 33247

Why are those the prime factors of the number 57,018,605?

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 57,018,605

57,018,605
Factor Arrows
511,403,721
Factor Arrows
71,629,103
Factor Arrows
7232,729
Factor Arrows
733,247

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:

5, 7, 33247

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 7 x 33,247 = 57,018,605

This can also be written as 51 x 73 x 33,2471 = 57,018,605

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


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