Q: What are the prime factors of the number 14,322,884?

 A: 2, 19, 188459

Why are those the prime factors of the number 14,322,884?

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 14,322,884

14,322,884
Factor Arrows
27,161,442
Factor Arrows
23,580,721
Factor Arrows
19188,459

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, 19, 188459

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 188,459 = 14,322,884

This can also be written as 22 x 191 x 188,4591 = 14,322,884

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


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