Q: What are the prime factors of the number 86,247,045?

 A: 3, 5, 307, 2081

Why are those the prime factors of the number 86,247,045?

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 86,247,045

86,247,045
Factor Arrows
328,749,015
Factor Arrows
39,583,005
Factor Arrows
33,194,335
Factor Arrows
5638,867
Factor Arrows
3072,081

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:

3, 5, 307, 2081

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 307 x 2,081 = 86,247,045

This can also be written as 33 x 51 x 3071 x 2,0811 = 86,247,045

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


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