Q: What are the prime factors of the number 14,495,992?

 A: 2, 7, 379, 683

Why are those the prime factors of the number 14,495,992?

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 14,495,992

14,495,992
Factor Arrows
27,247,996
Factor Arrows
23,623,998
Factor Arrows
21,811,999
Factor Arrows
7258,857
Factor Arrows
379683

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, 7, 379, 683

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 379 x 683 = 14,495,992

This can also be written as 23 x 71 x 3791 x 6831 = 14,495,992

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


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