Find the remainder when 6 50 is divided by 215

I found this is easy way to know the remainder..
6^50 means we have to write it as 6^(5+0)=6^5=7776. now 7776/215 gives remainder as 36. if u have doubt check it with another example.. (ex: 222^222 is divided by 7. (2+2+2)^(2+2+2)=6^6=46656 now 46656/7 gives remainder as 1)
11 years agoHelpfull: Yes(14) No(0)
==> 6^50/215
==> (6*6*6)^16 *6*6
==> (1^16)*6*6/215
==> 36/215
Hence 36 is the remainder
11 years agoHelpfull: Yes(11) No(0)
36 is the answer
((ax+1)^n)/a =1 (remainder) is used
11 years agoHelpfull: Yes(10) No(0)
36 iz the correct ans. :)
11 years agoHelpfull: Yes(4) No(1)
36 remainder hoga.
11 years agoHelpfull: Yes(2) No(1)
(6^3)16*6^2/215=6^50/215
so 216^16*36/215
=(215+1)^16*36 /215
by binomial expansion
(215+1)^16 remainder 1^16 and *36=36
11 years agoHelpfull: Yes(2) No(0)
36 very common question see older questions for solution
11 years agoHelpfull: Yes(1) No(4)
36 is the answer
11 years agoHelpfull: Yes(1) No(2)
37 is ans__
11 years agoHelpfull: Yes(0) No(21)
what is the tricks to solve this kind of problem...... please describe.....
11 years agoHelpfull: Yes(0) No(0)
make a cycle:6/215=6
36/215=36
36/215=1
find out the remainders upto 1
so the cycle is of 3
den divide power 50 by 3
so remainder is 2
so the second term is ur ans
i.e
36
10 years agoHelpfull: Yes(0) No(1)

Find the remainder when 6^50 is divided by 215.