Q: What are the prime factors of the number 132,304,428?

 A: 2, 3, 408347

Why are those the prime factors of the number 132,304,428?

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 132,304,428

132,304,428
Factor Arrows
266,152,214
Factor Arrows
233,076,107
Factor Arrows
311,025,369
Factor Arrows
33,675,123
Factor Arrows
31,225,041
Factor Arrows
3408,347

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, 408347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 408,347 = 132,304,428

This can also be written as 22 x 34 x 408,3471 = 132,304,428

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


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