Q: What are the prime factors of the number 530,685?

 A: 3, 5, 3931

Why are those the prime factors of the number 530,685?

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 530,685

530,685
Factor Arrows
3176,895
Factor Arrows
358,965
Factor Arrows
319,655
Factor Arrows
53,931

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, 3931

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 3,931 = 530,685

This can also be written as 33 x 51 x 3,9311 = 530,685

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


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