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q is the smallest positive integer for which 3q3q is a facto

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by BTGmoderatorAT » Mon Nov 06, 2017 10:46 pm
q is the smallest positive integer for which 3q3q is a factor of 8124. What is the value of 3q−­q33q−­q3 ?

A. 0
B. 1
C. 2
D. 3
E. More than 3

I'm confused how to set up the formulas here. Can any experts help?
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by EconomistGMATTutor » Wed Nov 08, 2017 2:21 pm
Hello ardz24.

I think there is something wrong here, because the prime factorization of 8124 is $$2^2\cdot3\cdot677.$$

So, all the posible factors of 8124 are $$\left\{2,\ 3,\ 4,\ 6,\ 12,\ 677,\ 1354,\ 2031,\ 2708,\ 4062,\ 8124\right\}.$$

No factor has the form 3q3q.

I would like to help you but I think there is a mistake.
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