Saturday, February 9, 2013

Special Numbers

Special numbers have always been identified and appreciated by mathematicians over the years. They usually exhibit peculiarity which highlight their presence in manipulation. By chance we might have seen such numbers in our day to day practice, which have not come into light. Now we shall look at numbers of the same sort.....

376 - Genetic Multiplication 

Number 396 is so special that, when we multiply and number ending with 376 ( both multiplier and multiplicand ) we obtain a product ending with 376.

For instance :                  376  x  4376    =   1645376
                                      376  x  8376    =   3149376
                                      376  x  3376    =   1267376

This is like children inheriting the genes of the parents . 


Magic Multiplication 

The special number 8547 gives amazing results on multiplication of 13 multiples as seen below 

8547  X  13  =  111111
8547  X  26  =  222222
8547  X  39  =  333333
8547  X  52  =  444444
8547  X  65  =  555555
8547  X  78  =  666666
8547  X  91  =  777777

and so on .....

Also the number 15873 gives similar results on multiplication with 7 multiples as shown  ... 

15873  X  7    =  111111
15873  X 14   =  222222
15873  X 21   =  333333
15873  X 28   =  444444
15873  X 35   =  555555


Reversing !! Its Ridiculous 

We might have heard / seen that 1089 is such a tricky number, now we see it lively here ..... 

1089 + 8019 = 9108

1089  X 1   = 1089  <=>  9801  =  9  X 1089
1089  X 2   = 2178  <=>  8712  =  9  X 1089
1089  X 3   = 3267  <=>  7623  =  9  X 1089
1089  X 4   = 4356  <=>  6534  =  9  X 1089

The symbol <=> signifies reversing the digits ... This stuff seems something like our 9 table ...

Please post your queries if any.... Thanks for your interest in Math made easy...