Square Number Definition

The resultant we get after multiplying an integer with itself is called the square number of that particular integer. It can be a positive integer or a negative integer.

For example, the square number of 5 is 25 which comes out by multiplying 5 by 5.

How to find the Square number of an integer?

It is pretty simple to find the square number of any integer. You only have to multiply that integer two times. Here is the square number of the first 10 Natural Numbers.

1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
7 x 7 = 49
8 x 8 = 64
9 x 9 = 81
10 x 10 = 100

How to denote a square number?

The square of any number can be denoted in exponential form. It means that you can write that integer for once and write 2 as its power which denotes that you are going to take a square of that number.

Here is the representation of a square of an integer in exponential form.

Square of 5 can be shown as 52.

Fun Facts about Square Number

  • The square of a number can never be negative.
  • The square of a negative integer will be a positive
  • The square number of an even number will always be even while the square number of an odd number is always odd.
  • The square is the reciprocal of the square root. 


You can read about "Square root" here.


Is 1 a square number?

Yes, 1 is a square number of 1 because it will not be changed when 1 is multiplied by itself.

How to find a square number in Math?

To find the square number in math, you have to multiply the given number by itself. ;

What is the opposite of a square number?

The opposite or reciprocal of a square number is the square root.