Q: What are the prime factors of the number 110,767,899?

 A: 3, 11, 37, 83, 1093

Why are those the prime factors of the number 110,767,899?

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 110,767,899

110,767,899
Factor Arrows
336,922,633
Factor Arrows
113,356,603
Factor Arrows
3790,719
Factor Arrows
831,093

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, 11, 37, 83, 1093

We can check our work by multiplying all of the prime factors together: 3 x 11 x 37 x 83 x 1,093 = 110,767,899

This can also be written as 31 x 111 x 371 x 831 x 1,0931 = 110,767,899

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


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