Question

Find the remainder when 11^12-1 is divided by 133

Answer 1

Answer:

remainder=2

Step-by-step explanation:

133/131=remainder=2

Answer 2

(11^12) -1 divided by 133. REMAINDER obtained is 0

◆DIVIDEND×DIVISOR + REMAINDER = SUM

◆133 is the DIVISOR. Sum divided by DIVISOR gives you an integer (DIVIDEND) , the number which remains back gives you the REMAINDER.

◆(11^12) -1 divided by divisor 133.

●Solving further,

(11^12 ) -1 =11^12 - 1^12

=(11^6 +1)(11^6-1).

[as,x^2- y^2 =( x-y) (x+y)]

=3,138,428,376,720

◆This sum is completely divisible by 133, and gives dividend

24,141,756,744.

◆Thus, REMAINDER = 0