Q: What are the prime factors of the number 18,202,788?

 A: 2, 3, 505633

Why are those the prime factors of the number 18,202,788?

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 18,202,788

18,202,788
Factor Arrows
29,101,394
Factor Arrows
24,550,697
Factor Arrows
31,516,899
Factor Arrows
3505,633

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, 505633

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 505,633 = 18,202,788

This can also be written as 22 x 32 x 505,6331 = 18,202,788

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


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