Q: What are the prime factors of the number 57,184?

 A: 2, 1787

Why are those the prime factors of the number 57,184?

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 57,184

57,184
Factor Arrows
228,592
Factor Arrows
214,296
Factor Arrows
27,148
Factor Arrows
23,574
Factor Arrows
21,787

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, 1787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 1,787 = 57,184

This can also be written as 25 x 1,7871 = 57,184

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


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