Q: What are the prime factors of the number 12,230,016?

 A: 2, 3, 31849

Why are those the prime factors of the number 12,230,016?

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 12,230,016

12,230,016
Factor Arrows
26,115,008
Factor Arrows
23,057,504
Factor Arrows
21,528,752
Factor Arrows
2764,376
Factor Arrows
2382,188
Factor Arrows
2191,094
Factor Arrows
295,547
Factor Arrows
331,849

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, 31849

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 3 x 31,849 = 12,230,016

This can also be written as 27 x 31 x 31,8491 = 12,230,016

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


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