Q: What are the prime factors of the number 115,886,568?

 A: 2, 3, 7, 98543

Why are those the prime factors of the number 115,886,568?

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 115,886,568

115,886,568
Factor Arrows
257,943,284
Factor Arrows
228,971,642
Factor Arrows
214,485,821
Factor Arrows
34,828,607
Factor Arrows
7689,801
Factor Arrows
798,543

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:

2, 3, 7, 98543

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 7 x 98,543 = 115,886,568

This can also be written as 23 x 31 x 72 x 98,5431 = 115,886,568

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


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