Q: What are the prime factors of the number 57,205,672?

 A: 2, 67, 106727

Why are those the prime factors of the number 57,205,672?

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 57,205,672

57,205,672
Factor Arrows
228,602,836
Factor Arrows
214,301,418
Factor Arrows
27,150,709
Factor Arrows
67106,727

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, 67, 106727

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 67 x 106,727 = 57,205,672

This can also be written as 23 x 671 x 106,7271 = 57,205,672

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


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