Q: What are the prime factors of the number 660,695?

 A: 5, 7, 43, 439

Why are those the prime factors of the number 660,695?

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 660,695

660,695
Factor Arrows
5132,139
Factor Arrows
718,877
Factor Arrows
43439

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:

5, 7, 43, 439

We can check our work by multiplying all of the prime factors together: 5 x 7 x 43 x 439 = 660,695

This can also be written as 51 x 71 x 431 x 4391 = 660,695

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


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