Q: What are the prime factors of the number 86,890,887?

 A: 3, 619, 1733

Why are those the prime factors of the number 86,890,887?

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 86,890,887

86,890,887
Factor Arrows
328,963,629
Factor Arrows
39,654,543
Factor Arrows
33,218,181
Factor Arrows
31,072,727
Factor Arrows
6191,733

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, 619, 1733

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 619 x 1,733 = 86,890,887

This can also be written as 34 x 6191 x 1,7331 = 86,890,887

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


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