Q: What are the prime factors of the number 539,001?

 A: 3, 19963

Why are those the prime factors of the number 539,001?

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 539,001

539,001
Factor Arrows
3179,667
Factor Arrows
359,889
Factor Arrows
319,963

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, 19963

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 19,963 = 539,001

This can also be written as 33 x 19,9631 = 539,001

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


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