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25 Sep 2019, 00:08
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
59% (01:02) correct
41%
(01:15)
wrong
based on 194
sessions
History
Date
Time
Result
Not Attempted Yet
A positive integer with exactly two different divisors greater than 1 must be
(A) a prime
(B) an even integer
(C) a multiple of 3
(D) the square of a prime
(E) the square of an odd integer
(A) a prime
(B) an even integer
(C) a multiple of 3
(D) the square of a prime
(E) the square of an odd integer
25 Sep 2019, 00:25
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IMO D
A NUMBER which is a square of a prime number has only 3 divisors (factors) including 1. They are 1, prime number, square of a prime number.
So, if we exclude 1, a square of a prime number will always have 2 factors.
Posted from my mobile device
A NUMBER which is a square of a prime number has only 3 divisors (factors) including 1. They are 1, prime number, square of a prime number.
So, if we exclude 1, a square of a prime number will always have 2 factors.
Posted from my mobile device
31 Dec 2020, 07:55
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Given
To Find
Approach and Working Out
Correct Answer: Option D
- • A number with 2 factors apart from 1.
To Find
- • The option that describes the number.
Approach and Working Out
- • The number must be a perfect square.
- o The forum must be \(P^2\).
o It should be a square of a prime number.
Correct Answer: Option D
