SOLUTION: What remainder is left when the number {{{(145649536)^2}}} is divided by 7?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: What remainder is left when the number {{{(145649536)^2}}} is divided by 7?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1208687: What remainder is left when the number %28145649536%29%5E2 is divided by 7?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
What remainder is left when the number %28145649536%29%5E2 is divided by 7?
~~~~~~~~~~~~~~~~~ 

The remainder of the number  145649536  when divided by 7 is 4:

    145649536 = 20807076*7 + 4.


Therefore, the remainder of the number  %28145649536%29%5E2  when divided by 7 is the same 
as the remainder of  4%5E2 = 16 when divided by 7, i.e. 2.    ANSWER

Solved.