Q: What are the prime factors of the number 522,495?

 A: 3, 5, 17, 683

Why are those the prime factors of the number 522,495?

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 522,495

522,495
Factor Arrows
3174,165
Factor Arrows
358,055
Factor Arrows
511,611
Factor Arrows
17683

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, 5, 17, 683

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 17 x 683 = 522,495

This can also be written as 32 x 51 x 171 x 6831 = 522,495

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


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