Q: What are the prime factors of the number 218,796?

 A: 2, 3, 18233

Why are those the prime factors of the number 218,796?

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 218,796

218,796
Factor Arrows
2109,398
Factor Arrows
254,699
Factor Arrows
318,233

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, 18233

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 18,233 = 218,796

This can also be written as 22 x 31 x 18,2331 = 218,796

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


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