Q: What are the prime factors of the number 876,116?

 A: 2, 23, 89, 107

Why are those the prime factors of the number 876,116?

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 876,116

876,116
Factor Arrows
2438,058
Factor Arrows
2219,029
Factor Arrows
239,523
Factor Arrows
89107

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, 23, 89, 107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 89 x 107 = 876,116

This can also be written as 22 x 231 x 891 x 1071 = 876,116

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


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