Q: What are the prime factors of the number 666,640?

 A: 2, 5, 13, 641

Why are those the prime factors of the number 666,640?

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 666,640

666,640
Factor Arrows
2333,320
Factor Arrows
2166,660
Factor Arrows
283,330
Factor Arrows
241,665
Factor Arrows
58,333
Factor Arrows
13641

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, 5, 13, 641

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 13 x 641 = 666,640

This can also be written as 24 x 51 x 131 x 6411 = 666,640

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


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