Q: What are the prime factors of the number 85,052,424?

 A: 2, 3, 83, 42697

Why are those the prime factors of the number 85,052,424?

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 85,052,424

85,052,424
Factor Arrows
242,526,212
Factor Arrows
221,263,106
Factor Arrows
210,631,553
Factor Arrows
33,543,851
Factor Arrows
8342,697

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, 83, 42697

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 83 x 42,697 = 85,052,424

This can also be written as 23 x 31 x 831 x 42,6971 = 85,052,424

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


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