Q: What are the prime factors of the number 606,669?

 A: 3, 7, 4127

Why are those the prime factors of the number 606,669?

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 606,669

606,669
Factor Arrows
3202,223
Factor Arrows
728,889
Factor Arrows
74,127

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:

3, 7, 4127

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 4,127 = 606,669

This can also be written as 31 x 72 x 4,1271 = 606,669

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


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