Q: What are the prime factors of the number 18,380,088?

 A: 2, 3, 85093

Why are those the prime factors of the number 18,380,088?

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 18,380,088

18,380,088
Factor Arrows
29,190,044
Factor Arrows
24,595,022
Factor Arrows
22,297,511
Factor Arrows
3765,837
Factor Arrows
3255,279
Factor Arrows
385,093

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, 3, 85093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 85,093 = 18,380,088

This can also be written as 23 x 33 x 85,0931 = 18,380,088

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


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