Q: What are the prime factors of the number 86,532,061?

 A: 7, 11, 19, 283

Why are those the prime factors of the number 86,532,061?

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 86,532,061

86,532,061
Factor Arrows
712,361,723
Factor Arrows
111,123,793
Factor Arrows
11102,163
Factor Arrows
195,377
Factor Arrows
19283

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:

7, 11, 19, 283

We can check our work by multiplying all of the prime factors together: 7 x 11 x 11 x 19 x 19 x 283 = 86,532,061

This can also be written as 71 x 112 x 192 x 2831 = 86,532,061

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


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