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10 Aug 2021, 06:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
93% (00:51) correct
7%
(01:13)
wrong
based on 44
sessions
History
Date
Time
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What is the smallest positive integer by which 216 should be divided to get a square of an integer ?
(A) 8
(B) 6
(C) 4
(D) 3
(E) 2
(A) 8
(B) 6
(C) 4
(D) 3
(E) 2
10 Aug 2021, 06:39
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Bunuel
\(216 = 8*(25 + 2) = 8*27 = 2^3*3^3\)
Then to get an even power on all the prime factors, we only need to divide by a 2 and a 3.
Ans: B
10 Aug 2021, 07:03
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Quote:
Step 1: Understanding the question
Prime factorization of 216 is \(2^3*3^3\)
When \(2^3*3^3\) is divided by 2*3 we get a perfect square.
B is correct
