Q: What are the prime factors of the number 57,996?

 A: 2, 3, 179

Why are those the prime factors of the number 57,996?

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 57,996

57,996
Factor Arrows
228,998
Factor Arrows
214,499
Factor Arrows
34,833
Factor Arrows
31,611
Factor Arrows
3537
Factor Arrows
3179

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, 179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 179 = 57,996

This can also be written as 22 x 34 x 1791 = 57,996

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


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