Q: What are the prime factors of the number 133,161,660?

 A: 2, 3, 5, 739787

Why are those the prime factors of the number 133,161,660?

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 133,161,660

133,161,660
Factor Arrows
266,580,830
Factor Arrows
233,290,415
Factor Arrows
311,096,805
Factor Arrows
33,698,935
Factor Arrows
5739,787

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, 5, 739787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 739,787 = 133,161,660

This can also be written as 22 x 32 x 51 x 739,7871 = 133,161,660

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


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