Q: What are the prime factors of the number 116,103,375?

 A: 3, 5, 11467

Why are those the prime factors of the number 116,103,375?

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 116,103,375

116,103,375
Factor Arrows
338,701,125
Factor Arrows
312,900,375
Factor Arrows
34,300,125
Factor Arrows
31,433,375
Factor Arrows
5286,675
Factor Arrows
557,335
Factor Arrows
511,467

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, 5, 11467

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 5 x 5 x 11,467 = 116,103,375

This can also be written as 34 x 53 x 11,4671 = 116,103,375

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


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