Q: What are the prime factors of the number 853,044?

 A: 2, 3, 67, 1061

Why are those the prime factors of the number 853,044?

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 853,044

853,044
Factor Arrows
2426,522
Factor Arrows
2213,261
Factor Arrows
371,087
Factor Arrows
671,061

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, 67, 1061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 67 x 1,061 = 853,044

This can also be written as 22 x 31 x 671 x 1,0611 = 853,044

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


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