Q: What are the prime factors of the number 855,564?

 A: 2, 3, 83, 859

Why are those the prime factors of the number 855,564?

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 855,564

855,564
Factor Arrows
2427,782
Factor Arrows
2213,891
Factor Arrows
371,297
Factor Arrows
83859

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, 83, 859

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 83 x 859 = 855,564

This can also be written as 22 x 31 x 831 x 8591 = 855,564

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


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