Q: What are the prime factors of the number 57,856?

 A: 2, 113

Why are those the prime factors of the number 57,856?

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 57,856

57,856
Factor Arrows
228,928
Factor Arrows
214,464
Factor Arrows
27,232
Factor Arrows
23,616
Factor Arrows
21,808
Factor Arrows
2904
Factor Arrows
2452
Factor Arrows
2226
Factor Arrows
2113

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, 113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 113 = 57,856

This can also be written as 29 x 1131 = 57,856

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


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