Make things easy with 76

SURPRISE NO:1 

1. 76*76=5776

2.  78*76*76*76 = 33362176

3.176 *176*176* = 5451776

4. 476*476= 226576

5. 1276*76=96976

·       As the above numbers suggest when a number ending with 76 is multiplied with itself ‘n’ number of times or when a number ending with 76 is given any number of powers , The last two digits remains to be 76.

·       Similarly  a number ending with 76 is multiplied with any number of numbers ending with 76, The last two digits remains to be 76.

WORLD OF NUMBERS HAS SO MANY WONDERFUL QUALITIES AS THE ABOVE MENTIONED ONES.

SURPRISE NO: 2

1.76*04= 304

2.76* 32=2432

3.76*144=10944

4.976*96=93696

5.216*1976*124

   216*124=26784 

   26784*1976=52925184

·       The above series show when 76 is multiplied with any number divisible by 4.The last two digits of the result has the same number that is multiplied with 76.

‘There is strength in Numbers’

As this quote rightly mentions 76 behaves in a unique fashion and simplifies certain complicated problems.

“  APPLICATION OF THE QUALITITES OF 76  ”

1. Find the last two digits of 2¹⁴⁶

      2²⁰⁼1048576

Numbers ending with 76 has the last two digits ends in 76 whatever power is given to it.

2¹⁴⁰*2⁶= (2²⁰)⁷*2⁶

                   ⁼ (1048576)⁷*64

             =(--76)*64( 76 Multiplied with numbers divisible by 4 gives the same last two digits)

             =64

2. Find the last two digits of

a.4¹⁶²            

= (22)162

= 2324

=(220)16*16 =(1048576)16*16 =16 b.8103 2309 (220)15*29 1048576*512 12 c.16122 =(24)122 =2488 =1048576*256 =56

Similarly

6⁵⁼7776

Find the last two digits of 6¹²³

6¹²³

6¹²³  = (6⁵)²⁴*6³

         = (7776)²⁴*216

         = 76*216

         = 16