Q: What are the prime factors of the number 12,191,808?

 A: 2, 3, 63499

Why are those the prime factors of the number 12,191,808?

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 12,191,808

12,191,808
Factor Arrows
26,095,904
Factor Arrows
23,047,952
Factor Arrows
21,523,976
Factor Arrows
2761,988
Factor Arrows
2380,994
Factor Arrows
2190,497
Factor Arrows
363,499

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, 63499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 63,499 = 12,191,808

This can also be written as 26 x 31 x 63,4991 = 12,191,808

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


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