Q: What are the prime factors of the number 14,407,924?

 A: 2, 43, 211, 397

Why are those the prime factors of the number 14,407,924?

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 14,407,924

14,407,924
Factor Arrows
27,203,962
Factor Arrows
23,601,981
Factor Arrows
4383,767
Factor Arrows
211397

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, 43, 211, 397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 43 x 211 x 397 = 14,407,924

This can also be written as 22 x 431 x 2111 x 3971 = 14,407,924

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


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