Q: What are the prime factors of the number 86,161,112?

 A: 2, 523, 20593

Why are those the prime factors of the number 86,161,112?

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 86,161,112

86,161,112
Factor Arrows
243,080,556
Factor Arrows
221,540,278
Factor Arrows
210,770,139
Factor Arrows
52320,593

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, 523, 20593

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 523 x 20,593 = 86,161,112

This can also be written as 23 x 5231 x 20,5931 = 86,161,112

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


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