Q: What are the prime factors of the number 16,392?

 A: 2, 3, 683

Why are those the prime factors of the number 16,392?

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 16,392

16,392
Factor Arrows
28,196
Factor Arrows
24,098
Factor Arrows
22,049
Factor Arrows
3683

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, 683

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 683 = 16,392

This can also be written as 23 x 31 x 6831 = 16,392

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


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