Q: What are the prime factors of the number 45,090?

 A: 2, 3, 5, 167

Why are those the prime factors of the number 45,090?

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 45,090

45,090
Factor Arrows
222,545
Factor Arrows
37,515
Factor Arrows
32,505
Factor Arrows
3835
Factor Arrows
5167

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, 5, 167

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 167 = 45,090

This can also be written as 21 x 33 x 51 x 1671 = 45,090

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


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