When $$3^{333}$$ is divided by 11, the remainder is

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5. There are multiple ways of solving these sorts of questions. One method is to look for powers of the term in the numerator that leave a remainder of 1 or -1 when divided by the denominator. Noting down the powers of 3, 3, 9, 27, 81, 243 243 is one such number, 242 is multiple of 11 (11 times 22), he

When $3^{333}$ is divided by 11, the remainder is

When $3^{333}$ is divided by 11, the remainder is

When 33333^{333}3333 is divided by 11, the remainder is

When 33333^{333}3333 is divided by 11, the remainder is

When $3^{333}$ is divided by 11, the remainder is

When $3^{333}$ is divided by 11, the remainder is