Q: What are the prime factors of the number 66,066?

 A: 2, 3, 7, 11, 13

Why are those the prime factors of the number 66,066?

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 66,066

66,066
Factor Arrows
233,033
Factor Arrows
311,011
Factor Arrows
71,573
Factor Arrows
11143
Factor Arrows
1113

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, 7, 11, 13

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 11 x 11 x 13 = 66,066

This can also be written as 21 x 31 x 71 x 112 x 131 = 66,066

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


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