Q: What are the prime factors of the number 13,581,225?

 A: 3, 5, 7, 8623

Why are those the prime factors of the number 13,581,225?

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 13,581,225

13,581,225
Factor Arrows
34,527,075
Factor Arrows
31,509,025
Factor Arrows
5301,805
Factor Arrows
560,361
Factor Arrows
78,623

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, 7, 8623

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 7 x 8,623 = 13,581,225

This can also be written as 32 x 52 x 71 x 8,6231 = 13,581,225

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


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