Q: What are the prime factors of the number 15,539,082?

 A: 2, 3, 13, 41, 43, 113

Why are those the prime factors of the number 15,539,082?

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 15,539,082

15,539,082
Factor Arrows
27,769,541
Factor Arrows
32,589,847
Factor Arrows
13199,219
Factor Arrows
414,859
Factor Arrows
43113

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, 13, 41, 43, 113

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 41 x 43 x 113 = 15,539,082

This can also be written as 21 x 31 x 131 x 411 x 431 x 1131 = 15,539,082

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


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