Q: What are the prime factors of the number 88,691,949?

 A: 3, 53, 61979

Why are those the prime factors of the number 88,691,949?

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 88,691,949

88,691,949
Factor Arrows
329,563,983
Factor Arrows
39,854,661
Factor Arrows
33,284,887
Factor Arrows
5361,979

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, 53, 61979

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 53 x 61,979 = 88,691,949

This can also be written as 33 x 531 x 61,9791 = 88,691,949

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


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