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Re: For which of the following integers, n, is the number 60n eq [#permalink]
Expert Reply
We have that

60n = (2^2)(3)(5)n

So everything bils down to C, D, and E

Option C :-
60n = (2^2)(3)(5)(3^3)(5^5)=(2^2)(3^4)(5^6) All even power hence perfect square
Option D :-
60n = (2^2)(3)(5)(2^10)(3^9)(5^8)=(2^12)(3^10)(5^9) Not All even power hence not perfect square
Option E :-
60n = (2^2)(3)(5)(3)(5)(7^28)=(2^2)(3^2)(5^2)(7^28) All even power hence perfect square

C and E are the correct answers
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Re: For which of the following integers, n, is the number 60n eq [#permalink]
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