Q: What are the prime factors of the number 559,640?

 A: 2, 5, 17, 823

Why are those the prime factors of the number 559,640?

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 559,640

559,640
Factor Arrows
2279,820
Factor Arrows
2139,910
Factor Arrows
269,955
Factor Arrows
513,991
Factor Arrows
17823

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, 17, 823

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 17 x 823 = 559,640

This can also be written as 23 x 51 x 171 x 8231 = 559,640

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


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