Q: What are the prime factors of the number 20,420,019?

 A: 3, 9337

Why are those the prime factors of the number 20,420,019?

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 20,420,019

20,420,019
Factor Arrows
36,806,673
Factor Arrows
32,268,891
Factor Arrows
3756,297
Factor Arrows
3252,099
Factor Arrows
384,033
Factor Arrows
328,011
Factor Arrows
39,337

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, 9337

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 9,337 = 20,420,019

This can also be written as 37 x 9,3371 = 20,420,019

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


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