Q: What are the prime factors of the number 14,127,516?

 A: 2, 3, 13, 30187

Why are those the prime factors of the number 14,127,516?

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 14,127,516

14,127,516
Factor Arrows
27,063,758
Factor Arrows
23,531,879
Factor Arrows
31,177,293
Factor Arrows
3392,431
Factor Arrows
1330,187

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, 13, 30187

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13 x 30,187 = 14,127,516

This can also be written as 22 x 32 x 131 x 30,1871 = 14,127,516

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


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