Q: What are the prime factors of the number 18,185,608?

 A: 2, 7, 324743

Why are those the prime factors of the number 18,185,608?

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 18,185,608

18,185,608
Factor Arrows
29,092,804
Factor Arrows
24,546,402
Factor Arrows
22,273,201
Factor Arrows
7324,743

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, 7, 324743

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 324,743 = 18,185,608

This can also be written as 23 x 71 x 324,7431 = 18,185,608

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


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