Q: What are the prime factors of the number 13,451,139?

 A: 3, 13, 114967

Why are those the prime factors of the number 13,451,139?

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 13,451,139

13,451,139
Factor Arrows
34,483,713
Factor Arrows
31,494,571
Factor Arrows
13114,967

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, 13, 114967

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 114,967 = 13,451,139

This can also be written as 32 x 131 x 114,9671 = 13,451,139

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


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