Q: What are the prime factors of the number 13,025,425?

 A: 5, 7, 31

Why are those the prime factors of the number 13,025,425?

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 13,025,425

13,025,425
Factor Arrows
52,605,085
Factor Arrows
5521,017
Factor Arrows
774,431
Factor Arrows
710,633
Factor Arrows
71,519
Factor Arrows
7217
Factor Arrows
731

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:

5, 7, 31

We can check our work by multiplying all of the prime factors together: 5 x 5 x 7 x 7 x 7 x 7 x 7 x 31 = 13,025,425

This can also be written as 52 x 75 x 311 = 13,025,425

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


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