Q: What are the prime factors of the number 11,513,082?

 A: 2, 3, 7, 274121

Why are those the prime factors of the number 11,513,082?

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 11,513,082

11,513,082
Factor Arrows
25,756,541
Factor Arrows
31,918,847
Factor Arrows
7274,121

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, 7, 274121

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 274,121 = 11,513,082

This can also be written as 21 x 31 x 71 x 274,1211 = 11,513,082

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


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