Q: What are the prime factors of the number 118,123,456?

 A: 2, 11, 19, 8831

Why are those the prime factors of the number 118,123,456?

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 118,123,456

118,123,456
Factor Arrows
259,061,728
Factor Arrows
229,530,864
Factor Arrows
214,765,432
Factor Arrows
27,382,716
Factor Arrows
23,691,358
Factor Arrows
21,845,679
Factor Arrows
11167,789
Factor Arrows
198,831

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, 11, 19, 8831

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 11 x 19 x 8,831 = 118,123,456

This can also be written as 26 x 111 x 191 x 8,8311 = 118,123,456

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


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