Q: What are the prime factors of the number 21,222,459?

 A: 3, 786017

Why are those the prime factors of the number 21,222,459?

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 21,222,459

21,222,459
Factor Arrows
37,074,153
Factor Arrows
32,358,051
Factor Arrows
3786,017

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, 786017

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 786,017 = 21,222,459

This can also be written as 33 x 786,0171 = 21,222,459

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


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