Q: What are the prime factors of the number 12,996,684?

 A: 2, 3, 19, 19001

Why are those the prime factors of the number 12,996,684?

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 12,996,684

12,996,684
Factor Arrows
26,498,342
Factor Arrows
23,249,171
Factor Arrows
31,083,057
Factor Arrows
3361,019
Factor Arrows
1919,001

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, 19, 19001

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 19 x 19,001 = 12,996,684

This can also be written as 22 x 32 x 191 x 19,0011 = 12,996,684

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


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