Q: What are the prime factors of the number 123,402,304?

 A: 2, 1928161

Why are those the prime factors of the number 123,402,304?

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 123,402,304

123,402,304
Factor Arrows
261,701,152
Factor Arrows
230,850,576
Factor Arrows
215,425,288
Factor Arrows
27,712,644
Factor Arrows
23,856,322
Factor Arrows
21,928,161

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, 1928161

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 1,928,161 = 123,402,304

This can also be written as 26 x 1,928,1611 = 123,402,304

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


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