Q: What are the prime factors of the number 57,877,536?

 A: 2, 3, 602891

Why are those the prime factors of the number 57,877,536?

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 57,877,536

57,877,536
Factor Arrows
228,938,768
Factor Arrows
214,469,384
Factor Arrows
27,234,692
Factor Arrows
23,617,346
Factor Arrows
21,808,673
Factor Arrows
3602,891

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, 602891

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 602,891 = 57,877,536

This can also be written as 25 x 31 x 602,8911 = 57,877,536

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


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