Q: What are the prime factors of the number 18,550,812?

 A: 2, 3, 7, 4507

Why are those the prime factors of the number 18,550,812?

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 18,550,812

18,550,812
Factor Arrows
29,275,406
Factor Arrows
24,637,703
Factor Arrows
31,545,901
Factor Arrows
7220,843
Factor Arrows
731,549
Factor Arrows
74,507

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, 7, 4507

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 7 x 4,507 = 18,550,812

This can also be written as 22 x 31 x 73 x 4,5071 = 18,550,812

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


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