Q: What are the prime factors of the number 14,326,016?

 A: 2, 107, 523

Why are those the prime factors of the number 14,326,016?

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 14,326,016

14,326,016
Factor Arrows
27,163,008
Factor Arrows
23,581,504
Factor Arrows
21,790,752
Factor Arrows
2895,376
Factor Arrows
2447,688
Factor Arrows
2223,844
Factor Arrows
2111,922
Factor Arrows
255,961
Factor Arrows
107523

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, 107, 523

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 107 x 523 = 14,326,016

This can also be written as 28 x 1071 x 5231 = 14,326,016

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


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