Yes, because each factor must have another factor to go with it, but the square root of a number can have itself as a pair.
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All square numbers have an odd number of factors.
No. Perfect square numbers have an odd number of factors.
The factors of all numbers can be written in pairs. With square numbers, one of those pairs is the same number twice. When listed singly, square numbers have an odd number of factors. All others are even.
all perfect square numbers
Prime numbers have two factors. All square numbers (other than 1) have more than that.