Q: What are the prime factors of the number 14,064,512?

 A: 2, 7, 11, 1427

Why are those the prime factors of the number 14,064,512?

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 14,064,512

14,064,512
Factor Arrows
27,032,256
Factor Arrows
23,516,128
Factor Arrows
21,758,064
Factor Arrows
2879,032
Factor Arrows
2439,516
Factor Arrows
2219,758
Factor Arrows
2109,879
Factor Arrows
715,697
Factor Arrows
111,427

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, 11, 1427

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 7 x 11 x 1,427 = 14,064,512

This can also be written as 27 x 71 x 111 x 1,4271 = 14,064,512

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


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