Square of a number is the number which is obtained by multiplying the number by itself. If N is a number, then the square of it is N × N = N². For example, the square of 2 is 2² = 2 × 2 = 4. Let us find the squares up to 50, i.e. from 1 to 50.

The square (the shape) has all its sides equal. As we know, the area of a square is equal to the square of its side, i.e.,

Area of Square = Side × Side = Side²

In the same way, the square numbers are the product of a number by itself.

And Square of a number = N × N = N²

Table of Squares from 1 to 50

Below is the table for squares of numbers from 1 to 50. These values can be learned and used for mathematical calculations.

Also, see: Sum Of Squares

Square of Even Numbers

From numbers 1 to 50 there are a total of 25 even numbers. As we know, even numbers can be represented in the form of 2n, where n = 1,2,3,4,5,…

Hence, the square of even numbers can be written as;

(2n)² = 4n²

If n=1, then; 4n² = 4(1)² = 4

If n=2, then; 4(2)² = 4.2.2 = 16

We can see, in this way, we can generate squares of all the even numbers.

Square of Odd Numbers

Likewise even numbers, there are a total of 25 odd numbers from 1 to 50. The odd numbers are represented in the form of 2n+1, where n = 0,1,2,3,4,5,….

Hence, the square of odd numbers can be written as;

(2n+1)² = 4n²+4n+1 = 4n(n+1)+1

If n=1, then; 4(1+1)+1=4.2+1 = 9

If n=2, then; 4.2(2+1)+1 = 8(3) = 25

And so on.

In this way, the squares of all odd numbers can be determined.