Q: What are the prime factors of the number 132,057,556?

 A: 2, 41, 53, 15193

Why are those the prime factors of the number 132,057,556?

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 132,057,556

132,057,556
Factor Arrows
266,028,778
Factor Arrows
233,014,389
Factor Arrows
41805,229
Factor Arrows
5315,193

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, 41, 53, 15193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 41 x 53 x 15,193 = 132,057,556

This can also be written as 22 x 411 x 531 x 15,1931 = 132,057,556

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


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