Q: What are the prime factors of the number 539,484?

 A: 2, 3, 11, 61, 67

Why are those the prime factors of the number 539,484?

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 539,484

539,484
Factor Arrows
2269,742
Factor Arrows
2134,871
Factor Arrows
344,957
Factor Arrows
114,087
Factor Arrows
6167

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, 3, 11, 61, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 61 x 67 = 539,484

This can also be written as 22 x 31 x 111 x 611 x 671 = 539,484

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


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