Q: What are the prime factors of the number 20,301,136?

 A: 2, 83, 15287

Why are those the prime factors of the number 20,301,136?

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 20,301,136

20,301,136
Factor Arrows
210,150,568
Factor Arrows
25,075,284
Factor Arrows
22,537,642
Factor Arrows
21,268,821
Factor Arrows
8315,287

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, 83, 15287

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 83 x 15,287 = 20,301,136

This can also be written as 24 x 831 x 15,2871 = 20,301,136

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


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