Q: What are the prime factors of the number 181,864?

 A: 2, 127, 179

Why are those the prime factors of the number 181,864?

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 181,864

181,864
Factor Arrows
290,932
Factor Arrows
245,466
Factor Arrows
222,733
Factor Arrows
127179

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, 127, 179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 127 x 179 = 181,864

This can also be written as 23 x 1271 x 1791 = 181,864

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


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