Q: What are the prime factors of the number 562,923?

 A: 3, 20849

Why are those the prime factors of the number 562,923?

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 562,923

562,923
Factor Arrows
3187,641
Factor Arrows
362,547
Factor Arrows
320,849

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, 20849

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 20,849 = 562,923

This can also be written as 33 x 20,8491 = 562,923

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


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