Q: What are the prime factors of the number 86,322,126?

 A: 2, 3, 11, 118901

Why are those the prime factors of the number 86,322,126?

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 86,322,126

86,322,126
Factor Arrows
243,161,063
Factor Arrows
314,387,021
Factor Arrows
111,307,911
Factor Arrows
11118,901

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, 11, 118901

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 11 x 118,901 = 86,322,126

This can also be written as 21 x 31 x 112 x 118,9011 = 86,322,126

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


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