Q: What are the prime factors of the number 32,327,292?

 A: 2, 3, 89, 30269

Why are those the prime factors of the number 32,327,292?

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 32,327,292

32,327,292
Factor Arrows
216,163,646
Factor Arrows
28,081,823
Factor Arrows
32,693,941
Factor Arrows
8930,269

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, 89, 30269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 89 x 30,269 = 32,327,292

This can also be written as 22 x 31 x 891 x 30,2691 = 32,327,292

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


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