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Square

A square emerges when a number is multiplied by itself

 


Explanation

In school we all had to learn the multiplication tables. There is one more table that you have not learned separately.

0 ×  0 =   0
1 ×  1 =   1
2 ×  2 =   4
3 ×  3 =   9
4 ×  4 =  16
5 ×  5 =  25
6 ×  6 =  36
7 ×  7 =  49
8 ×  8 =  64
9 ×  9 =  81
10 × 10 = 100
11 × 11 = 121
12 × 12 = 144

These squares form a diagonal in the tabel of Pythagoras.

1 2 3 4 5 6 7 8 9 10 11 12
2 4 6 8 10 12 14 16 18 20 22 24
3 6 9 12 15 18 21 24 27 30 33 36
4 8 12 16 20 24 28 32 36 40 44 48
5 10 15 20 25 30 35 40 45 50 55 60
6 12 18 24 30 36 42 48 54 60 66 72
7 14 21 28 35 42 49 56 63 70 77 84
8 16 24 32 40 48 56 64 72 80 88 96
9 18 27 36 45 54 63 72 81 90 99 108
10 20 30 40 50 60 70 80 90 100 110 120
11 22 33 44 55 66 77 88 99 110 121 132
12 24 36 48 80 72 84 96 108 120 132 144

 


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