Q: What are the prime factors of the number 663,876?

 A: 2, 3, 683

Why are those the prime factors of the number 663,876?

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 663,876

663,876
Factor Arrows
2331,938
Factor Arrows
2165,969
Factor Arrows
355,323
Factor Arrows
318,441
Factor Arrows
36,147
Factor Arrows
32,049
Factor Arrows
3683

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, 683

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 683 = 663,876

This can also be written as 22 x 35 x 6831 = 663,876

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


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