Q: What are the prime factors of the number 11,021,025?

 A: 3, 5, 23, 6389

Why are those the prime factors of the number 11,021,025?

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 11,021,025

11,021,025
Factor Arrows
33,673,675
Factor Arrows
5734,735
Factor Arrows
5146,947
Factor Arrows
236,389

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, 23, 6389

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 23 x 6,389 = 11,021,025

This can also be written as 31 x 52 x 231 x 6,3891 = 11,021,025

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


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