Q: What are the prime factors of the number 85,861,714?

 A: 2, 23, 167, 11177

Why are those the prime factors of the number 85,861,714?

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 85,861,714

85,861,714
Factor Arrows
242,930,857
Factor Arrows
231,866,559
Factor Arrows
16711,177

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, 23, 167, 11177

We can check our work by multiplying all of the prime factors together: 2 x 23 x 167 x 11,177 = 85,861,714

This can also be written as 21 x 231 x 1671 x 11,1771 = 85,861,714

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


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