# Squares upto 50

## Trigonometry # Squares upto 50

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.

 12 1×1 =1 112 11×11=121 212 21×21=441 312 31×31=961 412 41×41=1681 22 2×2=4 122 12×12=144 222 22×22=484 322 32×32=1024 422 42×42=1764 32 3×3=9 132 13×13=169 232 23×23=529 332 33×33=1089 432 43×43=1849 42 4×4=16 142 14×14=196 242 24×24=576 342 34×34=1156 442 44×44=1936 52 5×5=25 152 15×15=225 252 25×25=625 352 35×35=1225 452 45×45=2025 62 6×6=36 162 16×16=256 262 26×26=676 362 36×36=1296 462 46×46=2116 72 7×7=49 172 17×17=289 272 27×27=729 372 37×37=1369 472 47×47=2209 82 8×8=64 182 18×18=324 282 28×28=784 382 38×38=1444 482 48×48=2304 92 9×9=81 192 19×19=361 292 29×29=841 392 39×39=1521 492 49×49=2401 102 10×10=100 202 20×20=400 302 30×30=900 402 40×40=1600 502 50×50=2500

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.