Q: What are the prime factors of the number 118,856?

 A: 2, 83, 179

Why are those the prime factors of the number 118,856?

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 118,856

118,856
Factor Arrows
259,428
Factor Arrows
229,714
Factor Arrows
214,857
Factor Arrows
83179

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, 83, 179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 83 x 179 = 118,856

This can also be written as 23 x 831 x 1791 = 118,856

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


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