Q: What are the prime factors of the number 18,811,536?

 A: 2, 3, 391907

Why are those the prime factors of the number 18,811,536?

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 18,811,536

18,811,536
Factor Arrows
29,405,768
Factor Arrows
24,702,884
Factor Arrows
22,351,442
Factor Arrows
21,175,721
Factor Arrows
3391,907

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, 391907

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 391,907 = 18,811,536

This can also be written as 24 x 31 x 391,9071 = 18,811,536

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


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