Q: What are the prime factors of the number 212,001,057?

 A: 3, 673, 3889

Why are those the prime factors of the number 212,001,057?

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 212,001,057

212,001,057
Factor Arrows
370,667,019
Factor Arrows
323,555,673
Factor Arrows
37,851,891
Factor Arrows
32,617,297
Factor Arrows
6733,889

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, 673, 3889

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 673 x 3,889 = 212,001,057

This can also be written as 34 x 6731 x 3,8891 = 212,001,057

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


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