Q: What are the prime factors of the number 85,428,592?

 A: 2, 5339287

Why are those the prime factors of the number 85,428,592?

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 85,428,592

85,428,592
Factor Arrows
242,714,296
Factor Arrows
221,357,148
Factor Arrows
210,678,574
Factor Arrows
25,339,287

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, 5339287

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5,339,287 = 85,428,592

This can also be written as 24 x 5,339,2871 = 85,428,592

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


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