Q: What are the prime factors of the number 133,012?

 A: 2, 11, 3023

Why are those the prime factors of the number 133,012?

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 133,012

133,012
Factor Arrows
266,506
Factor Arrows
233,253
Factor Arrows
113,023

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, 11, 3023

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 3,023 = 133,012

This can also be written as 22 x 111 x 3,0231 = 133,012

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


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