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.

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