Q: What are the prime factors of the number 21,639,057?

 A: 3, 11, 67, 9787

Why are those the prime factors of the number 21,639,057?

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 21,639,057

21,639,057
Factor Arrows
37,213,019
Factor Arrows
11655,729
Factor Arrows
679,787

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:

3, 11, 67, 9787

We can check our work by multiplying all of the prime factors together: 3 x 11 x 67 x 9,787 = 21,639,057

This can also be written as 31 x 111 x 671 x 9,7871 = 21,639,057

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


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