Q: What are the prime factors of the number 11,196?

 A: 2, 3, 311

Why are those the prime factors of the number 11,196?

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 11,196

11,196
Factor Arrows
25,598
Factor Arrows
22,799
Factor Arrows
3933
Factor Arrows
3311

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, 311

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 311 = 11,196

This can also be written as 22 x 32 x 3111 = 11,196

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


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