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22 Oct 2020, 03:24
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Difficulty:
35%
(medium)
Question Stats:
69% (01:50) correct
31%
(01:25)
wrong
based on 68
sessions
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Which of the following numbers does not have a factor (other than 1) which is a perfect square?
(A) 48
(B) 117
(C) 245
(D) 297
(E) 345
(A) 48
(B) 117
(C) 245
(D) 297
(E) 345
22 Oct 2020, 07:10
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48 is divisible by 4, and 117 and 297 are divisible by 9 (as we can see by summing their digits). Since 250 = 5*50, then 245 = 5*49, so 245 is divisible by 7^2. So the answer is 345, which is equal to 5*69 = 5*3*23, and thus has no square divisor greater than 1.
22 Oct 2020, 11:27
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Which of the following numbers does not have a factor (other than 1) which is a perfect square?
(A) 48=4^2*4
(B) 117=3^2*13
(C) 245=7^2*5
(D) 297=3^2*33
(E) 345=3*5*23
(A) 48=4^2*4
(B) 117=3^2*13
(C) 245=7^2*5
(D) 297=3^2*33
(E) 345=3*5*23
