Q: What are the prime factors of the number 863,344?

 A: 2, 53959

Why are those the prime factors of the number 863,344?

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 863,344

863,344
Factor Arrows
2431,672
Factor Arrows
2215,836
Factor Arrows
2107,918
Factor Arrows
253,959

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, 53959

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 53,959 = 863,344

This can also be written as 24 x 53,9591 = 863,344

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


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