Numbers that are considered perfect squares are the result of multiplying an integer by itself. For example, 25 is a perfect square because it is the product of . A number multiplied by itself creates a perfect square.In order to determine if a number is a perfect square, you need to identify if it is the product of an integer squared. If the number can be formed by squaring an integer, then it is a perfect square. For example, 33 is not a perfect square because there is no way to square an integer number and have the product be 33. We can be sure this is true since and . Because 33 is between 25 and 36, its square root must be between and . Since there is no integer between 5 and 6, 33 cannot have an integer square root. However, 36 is a perfect square because it is the result of squaring 6. , so 36 is considered a perfect square.