Q: What are the prime factors of the number 57,816?

 A: 2, 3, 11, 73

Why are those the prime factors of the number 57,816?

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 57,816

57,816
Factor Arrows
228,908
Factor Arrows
214,454
Factor Arrows
27,227
Factor Arrows
32,409
Factor Arrows
3803
Factor Arrows
1173

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, 11, 73

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 11 x 73 = 57,816

This can also be written as 23 x 32 x 111 x 731 = 57,816

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


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