Q: What are the prime factors of the number 59,639,082?

 A: 2, 3, 821, 12107

Why are those the prime factors of the number 59,639,082?

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 59,639,082

59,639,082
Factor Arrows
229,819,541
Factor Arrows
39,939,847
Factor Arrows
82112,107

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, 821, 12107

We can check our work by multiplying all of the prime factors together: 2 x 3 x 821 x 12,107 = 59,639,082

This can also be written as 21 x 31 x 8211 x 12,1071 = 59,639,082

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


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