Q: What are the prime factors of the number 123,102,016?

 A: 2, 1923469

Why are those the prime factors of the number 123,102,016?

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 123,102,016

123,102,016
Factor Arrows
261,551,008
Factor Arrows
230,775,504
Factor Arrows
215,387,752
Factor Arrows
27,693,876
Factor Arrows
23,846,938
Factor Arrows
21,923,469

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, 1923469

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 1,923,469 = 123,102,016

This can also be written as 26 x 1,923,4691 = 123,102,016

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


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