Q: What are the prime factors of the number 33,324,132?

 A: 2, 3, 29, 31, 3089

Why are those the prime factors of the number 33,324,132?

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 33,324,132

33,324,132
Factor Arrows
216,662,066
Factor Arrows
28,331,033
Factor Arrows
32,777,011
Factor Arrows
2995,759
Factor Arrows
313,089

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, 29, 31, 3089

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 29 x 31 x 3,089 = 33,324,132

This can also be written as 22 x 31 x 291 x 311 x 3,0891 = 33,324,132

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


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