Q: What are the prime factors of the number 13,666,124?

 A: 2, 67, 50993

Why are those the prime factors of the number 13,666,124?

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 13,666,124

13,666,124
Factor Arrows
26,833,062
Factor Arrows
23,416,531
Factor Arrows
6750,993

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:

2, 67, 50993

We can check our work by multiplying all of the prime factors together: 2 x 2 x 67 x 50,993 = 13,666,124

This can also be written as 22 x 671 x 50,9931 = 13,666,124

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


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