Q: What are the prime factors of the number 132,542,020?

 A: 2, 5, 13, 61, 137

Why are those the prime factors of the number 132,542,020?

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 132,542,020

132,542,020
Factor Arrows
266,271,010
Factor Arrows
233,135,505
Factor Arrows
56,627,101
Factor Arrows
13509,777
Factor Arrows
618,357
Factor Arrows
61137

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, 13, 61, 137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 61 x 61 x 137 = 132,542,020

This can also be written as 22 x 51 x 131 x 612 x 1371 = 132,542,020

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


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