Q: What are the prime factors of the number 111,132?

 A: 2, 3, 7

Why are those the prime factors of the number 111,132?

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 111,132

111,132
Factor Arrows
255,566
Factor Arrows
227,783
Factor Arrows
39,261
Factor Arrows
33,087
Factor Arrows
31,029
Factor Arrows
3343
Factor Arrows
749
Factor Arrows
77

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, 7

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 7 x 7 x 7 = 111,132

This can also be written as 22 x 34 x 73 = 111,132

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


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