A date to reckon with

           The dare 8.8.64, meaning August 8, 1964 is a very interesting date, because the product of the first two numbers equals the third. 

          Can you find the year of the twentieth century which gives the maximum dates of this kind?

Answer:    Let’s consider the year 1948. Forty eight has the following factors:

 24 and              2            i.e.                     24^th of February

 4and                12          i.e.                      4^th of December

12 and              4           i.e.                      12^th of April

16and               3           i.e.                      16^th of March

6and                 8            i.e.                      6^th of August or

8and                 6            i.e.                       8^th of June

            And giving six dates. The years 36, 48.60 and 72 each give six dates whereas the maximum number of such dates is given by the year 24 – seven occasions.