Q: What are the prime factors of the number 12,014,016?

 A: 2, 3, 7, 1277

Why are those the prime factors of the number 12,014,016?

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 12,014,016

12,014,016
Factor Arrows
26,007,008
Factor Arrows
23,003,504
Factor Arrows
21,501,752
Factor Arrows
2750,876
Factor Arrows
2375,438
Factor Arrows
2187,719
Factor Arrows
362,573
Factor Arrows
78,939
Factor Arrows
71,277

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, 7, 1277

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 3 x 7 x 7 x 1,277 = 12,014,016

This can also be written as 26 x 31 x 72 x 1,2771 = 12,014,016

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


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