Q: What are the prime factors of the number 12,122,604?

 A: 2, 3, 13, 25903

Why are those the prime factors of the number 12,122,604?

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 12,122,604

12,122,604
Factor Arrows
26,061,302
Factor Arrows
23,030,651
Factor Arrows
31,010,217
Factor Arrows
3336,739
Factor Arrows
1325,903

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, 13, 25903

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13 x 25,903 = 12,122,604

This can also be written as 22 x 32 x 131 x 25,9031 = 12,122,604

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


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