Q: What are the prime factors of the number 14,703,128?

 A: 2, 11, 167081

Why are those the prime factors of the number 14,703,128?

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 14,703,128

14,703,128
Factor Arrows
27,351,564
Factor Arrows
23,675,782
Factor Arrows
21,837,891
Factor Arrows
11167,081

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, 167081

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 167,081 = 14,703,128

This can also be written as 23 x 111 x 167,0811 = 14,703,128

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


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