Q: What are the prime factors of the number 22,272,020?

 A: 2, 5, 41, 157, 173

Why are those the prime factors of the number 22,272,020?

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 22,272,020

22,272,020
Factor Arrows
211,136,010
Factor Arrows
25,568,005
Factor Arrows
51,113,601
Factor Arrows
4127,161
Factor Arrows
157173

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, 5, 41, 157, 173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 41 x 157 x 173 = 22,272,020

This can also be written as 22 x 51 x 411 x 1571 x 1731 = 22,272,020

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


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