Q: What are the prime factors of the number 27,069,426?

 A: 2, 3, 149, 10093

Why are those the prime factors of the number 27,069,426?

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 27,069,426

27,069,426
Factor Arrows
213,534,713
Factor Arrows
34,511,571
Factor Arrows
31,503,857
Factor Arrows
14910,093

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, 149, 10093

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 149 x 10,093 = 27,069,426

This can also be written as 21 x 32 x 1491 x 10,0931 = 27,069,426

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


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