Numbers (of objects) that can be arranged into a square array are called “square numbers. The name “square number” comes from the fact that these particular numbers of objects can be arranged to fill a perfect square.Ĭhildren can experiment with pennies (or square tiles) to see what numbers of them can be arranged in a perfectly square array.īut seven pennies or twelve pennies cannot be arranged that way. Mathematical background Objects arranged in a square array More formally: A square number is a number of the form n × n or n 2 where n is any integer. Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
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