Q: What are the prime factors of the number 853,686?

 A: 2, 3, 15809

Why are those the prime factors of the number 853,686?

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 853,686

853,686
Factor Arrows
2426,843
Factor Arrows
3142,281
Factor Arrows
347,427
Factor Arrows
315,809

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, 15809

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 15,809 = 853,686

This can also be written as 21 x 33 x 15,8091 = 853,686

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


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