Q: What are the prime factors of the number 12,019,656?

 A: 2, 3, 11, 4139

Why are those the prime factors of the number 12,019,656?

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 12,019,656

12,019,656
Factor Arrows
26,009,828
Factor Arrows
23,004,914
Factor Arrows
21,502,457
Factor Arrows
3500,819
Factor Arrows
1145,529
Factor Arrows
114,139

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, 11, 4139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 11 x 11 x 4,139 = 12,019,656

This can also be written as 23 x 31 x 112 x 4,1391 = 12,019,656

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


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