Q: What are the prime factors of the number 128,678,121?

 A: 3, 11, 13, 7691

Why are those the prime factors of the number 128,678,121?

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 128,678,121

128,678,121
Factor Arrows
342,892,707
Factor Arrows
314,297,569
Factor Arrows
111,299,779
Factor Arrows
1399,983
Factor Arrows
137,691

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, 11, 13, 7691

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 13 x 13 x 7,691 = 128,678,121

This can also be written as 32 x 111 x 132 x 7,6911 = 128,678,121

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


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