Q: What are the prime factors of the number 14,434,976?

 A: 2, 451093

Why are those the prime factors of the number 14,434,976?

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 14,434,976

14,434,976
Factor Arrows
27,217,488
Factor Arrows
23,608,744
Factor Arrows
21,804,372
Factor Arrows
2902,186
Factor Arrows
2451,093

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, 451093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 451,093 = 14,434,976

This can also be written as 25 x 451,0931 = 14,434,976

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


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