333333333333333333333 1001 times what is the reminder when divided by 1001

from Fermat,s little theorm , 3 and 1001 co prime to each other
3^1001/1001
remainder=1*3=3.
10 years agoHelpfull: Yes(21) No(5)
according to the fermat's little theorem if 'p' is prime number and 'a' is any integer then a^p mod p always gives the remainder a...... so here the reminder will be 3
10 years agoHelpfull: Yes(10) No(2)
(3333333333..........)/1001= 3*(11111111111111111.....)/1001
3*(1111111....)/1001=remainder is 0
10 years agoHelpfull: Yes(5) No(2)
333333%1001=0
so,1001%6 remainder is 5.
so for 33333%1001.
remainder is 300
10 years agoHelpfull: Yes(4) No(1)
@ritesh and anusha- why did u did this 1001%6?? i cudnt get u,if u cud plz explain.
10 years agoHelpfull: Yes(3) No(0)
@anamika...since 333333 (6 threes) is exactly divided by 1001..hence 5 threes remain,which when divided by 1001 gives a remainder of 300.
10 years agoHelpfull: Yes(3) No(0)
taking 3, 6 times that is 333333 remainder is 0
now if we want to check weather it is 1001 times 3333 is divided or not we will check remainder of 1001 divided by 6 which is 5 so
at the end 5 times 3 will be left out and 33333%1001=300
so remaimder will be 3000
10 years agoHelpfull: Yes(2) No(3)
333333%1001=0
1001%6= 5 (remainder)
33333%1001= 300
10 years agoHelpfull: Yes(2) No(0)
3^10001001=0
3 is ans
10 years agoHelpfull: Yes(0) No(0)
300 is the answer :)
10 years agoHelpfull: Yes(0) No(1)

333333333333333333333.......... 1001 times what is the reminder when divided by 1001???