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...