Q: What are the prime factors of the number 666,032?

 A: 2, 41627

Why are those the prime factors of the number 666,032?

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 666,032

666,032
Factor Arrows
2333,016
Factor Arrows
2166,508
Factor Arrows
283,254
Factor Arrows
241,627

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, 41627

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 41,627 = 666,032

This can also be written as 24 x 41,6271 = 666,032

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


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