Q: What are the prime factors of the number 14,516,076?

 A: 2, 3, 19, 63667

Why are those the prime factors of the number 14,516,076?

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 14,516,076

14,516,076
Factor Arrows
27,258,038
Factor Arrows
23,629,019
Factor Arrows
31,209,673
Factor Arrows
1963,667

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, 3, 19, 63667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 63,667 = 14,516,076

This can also be written as 22 x 31 x 191 x 63,6671 = 14,516,076

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


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