Q: What are the prime factors of the number 132,015,660?

 A: 2, 3, 5, 7, 523, 601

Why are those the prime factors of the number 132,015,660?

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 132,015,660

132,015,660
Factor Arrows
266,007,830
Factor Arrows
233,003,915
Factor Arrows
311,001,305
Factor Arrows
52,200,261
Factor Arrows
7314,323
Factor Arrows
523601

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, 7, 523, 601

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 7 x 523 x 601 = 132,015,660

This can also be written as 22 x 31 x 51 x 71 x 5231 x 6011 = 132,015,660

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


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