Q: What are the prime factors of the number 104,558,916?

 A: 2, 3, 7, 11, 113159

Why are those the prime factors of the number 104,558,916?

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 104,558,916

104,558,916
Factor Arrows
252,279,458
Factor Arrows
226,139,729
Factor Arrows
38,713,243
Factor Arrows
71,244,749
Factor Arrows
11113,159

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, 3, 7, 11, 113159

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 11 x 113,159 = 104,558,916

This can also be written as 22 x 31 x 71 x 111 x 113,1591 = 104,558,916

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


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