Q: What are the prime factors of the number 132,211,412?

 A: 2, 43, 768671

Why are those the prime factors of the number 132,211,412?

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 132,211,412

132,211,412
Factor Arrows
266,105,706
Factor Arrows
233,052,853
Factor Arrows
43768,671

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, 43, 768671

We can check our work by multiplying all of the prime factors together: 2 x 2 x 43 x 768,671 = 132,211,412

This can also be written as 22 x 431 x 768,6711 = 132,211,412

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


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