Q: What are the prime factors of the number 132,014,144?

 A: 2, 2062721

Why are those the prime factors of the number 132,014,144?

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 132,014,144

132,014,144
Factor Arrows
266,007,072
Factor Arrows
233,003,536
Factor Arrows
216,501,768
Factor Arrows
28,250,884
Factor Arrows
24,125,442
Factor Arrows
22,062,721

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, 2062721

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2,062,721 = 132,014,144

This can also be written as 26 x 2,062,7211 = 132,014,144

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


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