Q: What are the prime factors of the number 11,622,637?

 A: 13, 97, 709

Why are those the prime factors of the number 11,622,637?

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 11,622,637

11,622,637
Factor Arrows
13894,049
Factor Arrows
1368,773
Factor Arrows
97709

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:

13, 97, 709

We can check our work by multiplying all of the prime factors together: 13 x 13 x 97 x 709 = 11,622,637

This can also be written as 132 x 971 x 7091 = 11,622,637

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


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