Q: What are the prime factors of the number 32,952?

 A: 2, 3, 1373

Why are those the prime factors of the number 32,952?

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 32,952

32,952
Factor Arrows
216,476
Factor Arrows
28,238
Factor Arrows
24,119
Factor Arrows
31,373

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, 1373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 1,373 = 32,952

This can also be written as 23 x 31 x 1,3731 = 32,952

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


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