Q: What are the prime factors of the number 14,805,688?

 A: 2, 109, 16979

Why are those the prime factors of the number 14,805,688?

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 14,805,688

14,805,688
Factor Arrows
27,402,844
Factor Arrows
23,701,422
Factor Arrows
21,850,711
Factor Arrows
10916,979

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, 109, 16979

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 109 x 16,979 = 14,805,688

This can also be written as 23 x 1091 x 16,9791 = 14,805,688

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


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