Q: What are the prime factors of the number 87,260,139?

 A: 3, 89, 36313

Why are those the prime factors of the number 87,260,139?

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 87,260,139

87,260,139
Factor Arrows
329,086,713
Factor Arrows
39,695,571
Factor Arrows
33,231,857
Factor Arrows
8936,313

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, 89, 36313

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 89 x 36,313 = 87,260,139

This can also be written as 33 x 891 x 36,3131 = 87,260,139

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


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