Q: What are the prime factors of the number 105,150,555?

 A: 3, 5, 259631

Why are those the prime factors of the number 105,150,555?

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 105,150,555

105,150,555
Factor Arrows
335,050,185
Factor Arrows
311,683,395
Factor Arrows
33,894,465
Factor Arrows
31,298,155
Factor Arrows
5259,631

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, 259631

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 259,631 = 105,150,555

This can also be written as 34 x 51 x 259,6311 = 105,150,555

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


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