Q: What are the prime factors of the number 27,790,986?

 A: 2, 3, 43, 107717

Why are those the prime factors of the number 27,790,986?

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 27,790,986

27,790,986
Factor Arrows
213,895,493
Factor Arrows
34,631,831
Factor Arrows
43107,717

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, 43, 107717

We can check our work by multiplying all of the prime factors together: 2 x 3 x 43 x 107,717 = 27,790,986

This can also be written as 21 x 31 x 431 x 107,7171 = 27,790,986

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


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