Q: What are the prime factors of the number 218,992?

 A: 2, 13687

Why are those the prime factors of the number 218,992?

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 218,992

218,992
Factor Arrows
2109,496
Factor Arrows
254,748
Factor Arrows
227,374
Factor Arrows
213,687

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, 13687

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13,687 = 218,992

This can also be written as 24 x 13,6871 = 218,992

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


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