Q: What are the prime factors of the number 72,356,020?

 A: 2, 5, 11, 328891

Why are those the prime factors of the number 72,356,020?

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 72,356,020

72,356,020
Factor Arrows
236,178,010
Factor Arrows
218,089,005
Factor Arrows
53,617,801
Factor Arrows
11328,891

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, 11, 328891

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 328,891 = 72,356,020

This can also be written as 22 x 51 x 111 x 328,8911 = 72,356,020

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


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