Q: What are the prime factors of the number 184,932?

 A: 2, 3, 11, 467

Why are those the prime factors of the number 184,932?

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 184,932

184,932
Factor Arrows
292,466
Factor Arrows
246,233
Factor Arrows
315,411
Factor Arrows
35,137
Factor Arrows
11467

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, 11, 467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 467 = 184,932

This can also be written as 22 x 32 x 111 x 4671 = 184,932

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


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