Doubling divisors
True or False?
If is a positive integer with positive divisors, then must have positive divisors.
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1 solution
Since M is an integer, 2 M is even. Note that a perfect square has odd number of divisors. So if the statement would be true, then 2 N couldn't be a perfect square, which is definitely false. A counterexample: N = 2 .
Therefore the statement is false.