Q: What are the prime factors of the number 32,832?

 A: 2, 3, 19

Why are those the prime factors of the number 32,832?

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 32,832

32,832
Factor Arrows
216,416
Factor Arrows
28,208
Factor Arrows
24,104
Factor Arrows
22,052
Factor Arrows
21,026
Factor Arrows
2513
Factor Arrows
3171
Factor Arrows
357
Factor Arrows
319

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, 19

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19 = 32,832

This can also be written as 26 x 33 x 191 = 32,832

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


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