Q: What are the prime factors of the number 180,828?

 A: 2, 3, 5023

Why are those the prime factors of the number 180,828?

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 180,828

180,828
Factor Arrows
290,414
Factor Arrows
245,207
Factor Arrows
315,069
Factor Arrows
35,023

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, 5023

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5,023 = 180,828

This can also be written as 22 x 32 x 5,0231 = 180,828

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


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