Q: What are the prime factors of the number 132,215,544?

 A: 2, 3, 612109

Why are those the prime factors of the number 132,215,544?

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 132,215,544

132,215,544
Factor Arrows
266,107,772
Factor Arrows
233,053,886
Factor Arrows
216,526,943
Factor Arrows
35,508,981
Factor Arrows
31,836,327
Factor Arrows
3612,109

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, 612109

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 612,109 = 132,215,544

This can also be written as 23 x 33 x 612,1091 = 132,215,544

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


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