Q: What are the prime factors of the number 116,491,408?

 A: 2, 11, 661883

Why are those the prime factors of the number 116,491,408?

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 116,491,408

116,491,408
Factor Arrows
258,245,704
Factor Arrows
229,122,852
Factor Arrows
214,561,426
Factor Arrows
27,280,713
Factor Arrows
11661,883

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, 11, 661883

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 661,883 = 116,491,408

This can also be written as 24 x 111 x 661,8831 = 116,491,408

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


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