Q: What are the prime factors of the number 667,336?

 A: 2, 83417

Why are those the prime factors of the number 667,336?

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 667,336

667,336
Factor Arrows
2333,668
Factor Arrows
2166,834
Factor Arrows
283,417

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, 83417

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 83,417 = 667,336

This can also be written as 23 x 83,4171 = 667,336

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


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