Q: What are the prime factors of the number 132,433,144?

 A: 2, 1123, 14741

Why are those the prime factors of the number 132,433,144?

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 132,433,144

132,433,144
Factor Arrows
266,216,572
Factor Arrows
233,108,286
Factor Arrows
216,554,143
Factor Arrows
1,12314,741

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, 1123, 14741

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 1,123 x 14,741 = 132,433,144

This can also be written as 23 x 1,1231 x 14,7411 = 132,433,144

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


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