Q: What are the prime factors of the number 12,463,328?

 A: 2, 389479

Why are those the prime factors of the number 12,463,328?

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 12,463,328

12,463,328
Factor Arrows
26,231,664
Factor Arrows
23,115,832
Factor Arrows
21,557,916
Factor Arrows
2778,958
Factor Arrows
2389,479

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, 389479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 389,479 = 12,463,328

This can also be written as 25 x 389,4791 = 12,463,328

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


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