Q: What are the prime factors of the number 11,990,204?

 A: 2, 41, 113, 647

Why are those the prime factors of the number 11,990,204?

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 11,990,204

11,990,204
Factor Arrows
25,995,102
Factor Arrows
22,997,551
Factor Arrows
4173,111
Factor Arrows
113647

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, 41, 113, 647

We can check our work by multiplying all of the prime factors together: 2 x 2 x 41 x 113 x 647 = 11,990,204

This can also be written as 22 x 411 x 1131 x 6471 = 11,990,204

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


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