Q: What are the prime factors of the number 20,022,120?

 A: 2, 3, 5, 18539

Why are those the prime factors of the number 20,022,120?

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 20,022,120

20,022,120
Factor Arrows
210,011,060
Factor Arrows
25,005,530
Factor Arrows
22,502,765
Factor Arrows
3834,255
Factor Arrows
3278,085
Factor Arrows
392,695
Factor Arrows
518,539

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, 5, 18539

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 5 x 18,539 = 20,022,120

This can also be written as 23 x 33 x 51 x 18,5391 = 20,022,120

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


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