Q: What are the prime factors of the number 113,100,399?

 A: 3, 89, 141199

Why are those the prime factors of the number 113,100,399?

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 113,100,399

113,100,399
Factor Arrows
337,700,133
Factor Arrows
312,566,711
Factor Arrows
89141,199

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, 89, 141199

We can check our work by multiplying all of the prime factors together: 3 x 3 x 89 x 141,199 = 113,100,399

This can also be written as 32 x 891 x 141,1991 = 113,100,399

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


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