Q: What are the prime factors of the number 16,044?

 A: 2, 3, 7, 191

Why are those the prime factors of the number 16,044?

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 16,044

16,044
Factor Arrows
28,022
Factor Arrows
24,011
Factor Arrows
31,337
Factor Arrows
7191

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, 7, 191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 191 = 16,044

This can also be written as 22 x 31 x 71 x 1911 = 16,044

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


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