# 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 = N^{2}. For example, the square of 2 is 2^{2} = 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 = Side^{2}

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

And Square of a number = N × N = N^{2}

## 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.

1 |
1×1 =1 |
11 |
11×11=121 |
21 |
21×21=441 |
31 |
31×31=961 |
41 |
41×41=1681 |

2 |
2×2=4 |
12 |
12×12=144 |
22 |
22×22=484 |
32 |
32×32=1024 |
42 |
42×42=1764 |

3 |
3×3=9 |
13 |
13×13=169 |
23 |
23×23=529 |
33 |
33×33=1089 |
43 |
43×43=1849 |

4 |
4×4=16 |
14 |
14×14=196 |
24 |
24×24=576 |
34 |
34×34=1156 |
44 |
44×44=1936 |

5 |
5×5=25 |
15 |
15×15=225 |
25 |
25×25=625 |
35 |
35×35=1225 |
45 |
45×45=2025 |

6 |
6×6=36 |
16 |
16×16=256 |
26 |
26×26=676 |
36 |
36×36=1296 |
46 |
46×46=2116 |

7 |
7×7=49 |
17 |
17×17=289 |
27 |
27×27=729 |
37 |
37×37=1369 |
47 |
47×47=2209 |

8 |
8×8=64 |
18 |
18×18=324 |
28 |
28×28=784 |
38 |
38×38=1444 |
48 |
48×48=2304 |

9 |
9×9=81 |
19 |
19×19=361 |
29 |
29×29=841 |
39 |
39×39=1521 |
49 |
49×49=2401 |

10 |
10×10=100 |
20 |
20×20=400 |
30 |
30×30=900 |
40 |
40×40=1600 |
50 |
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} = 4n^{2}

If n=1, then; 4n^{2} = 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} = 4n^{2}+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.