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Which of the following expressions are factors of 12^17

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Director
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Which of the following expressions are factors of 12^17 [#permalink] New post 16 May 2018, 03:03
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Which of the following expressions are factors of \(12^{17}\)?

A. \((-2)^2\)\((-3)^4\)

B. \(12^3 + 12^3\)

C. \(4^{18}\)

D. \((2^{16})(3^{15})\)

E. \((3^{17})(4^{17})\)

F. \(12^{17} + 12^{17}\)
[Reveal] Spoiler: OA
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Re: Which of the following expressions are factors of 12^17 [#permalink] New post 24 May 2018, 09:59
A B D E all are having factor either equal or less than 4^17 * 3^17

In C, 4^18 is given, which is more than 4^17. Hence it cannot be factor. Same with option E. 12^17 + 12^17 = 2(12^17). Here 2 is additional. Hence it also cannot be factor.
Re: Which of the following expressions are factors of 12^17   [#permalink] 24 May 2018, 09:59
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Which of the following expressions are factors of 12^17

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