Q: What are the prime factors of the number 17,334?

 A: 2, 3, 107

Why are those the prime factors of the number 17,334?

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 17,334

17,334
Factor Arrows
28,667
Factor Arrows
32,889
Factor Arrows
3963
Factor Arrows
3321
Factor Arrows
3107

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, 107

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 107 = 17,334

This can also be written as 21 x 34 x 1071 = 17,334

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


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