Q: What are the prime factors of the number 57,560,545?

 A: 5, 7, 33563

Why are those the prime factors of the number 57,560,545?

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 57,560,545

57,560,545
Factor Arrows
511,512,109
Factor Arrows
71,644,587
Factor Arrows
7234,941
Factor Arrows
733,563

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, 33563

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 7 x 33,563 = 57,560,545

This can also be written as 51 x 73 x 33,5631 = 57,560,545

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


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