Square Numbers | Elementary

What is a square number?

Definition

A square number is the product of two identical factors.

When a number is multiplied by itself, the result is a square number.

Example

I multiply 3 by itself: 3 × 3 = 9.

So, 9 is a square number.

Tip

The word square is used because the visual representation of the multiplication looks like a square.

Example of a square number.

The number of square units inside the visual representation equals the product of the multiplication. A square number can be determined by counting the square units inside the square.

Example of a square number-2.

How to check if a number is square?

To check if a number is square, see if it is the product of two identical factors.

Example

The number 49 is a square number since 7 × 7 = 49.

Check if the number forms a square when it is represented visually.

Example

The number 49 is a square number since it’s possible to form a square with 49 square units that is 7 units long by 7 units wide.

Example of a square number-3.
How to Check if a Number Is a Square Number?

How to Check if a Number Is a Square Number?

See also