Q: What are the prime factors of the number 132,242,660?

 A: 2, 5, 11, 17, 19, 1861

Why are those the prime factors of the number 132,242,660?

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 132,242,660

132,242,660
Factor Arrows
266,121,330
Factor Arrows
233,060,665
Factor Arrows
56,612,133
Factor Arrows
11601,103
Factor Arrows
1735,359
Factor Arrows
191,861

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, 5, 11, 17, 19, 1861

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 17 x 19 x 1,861 = 132,242,660

This can also be written as 22 x 51 x 111 x 171 x 191 x 1,8611 = 132,242,660

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


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