Q: What are the prime factors of the number 132,202,872?

 A: 2, 3, 1836151

Why are those the prime factors of the number 132,202,872?

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 132,202,872

132,202,872
Factor Arrows
266,101,436
Factor Arrows
233,050,718
Factor Arrows
216,525,359
Factor Arrows
35,508,453
Factor Arrows
31,836,151

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, 1836151

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 1,836,151 = 132,202,872

This can also be written as 23 x 32 x 1,836,1511 = 132,202,872

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


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