Question

If 3^1989 is divided by 7, then remainder is​

Answer 1

Answer:

The remainder will be 6.

Answer 2

Answer:

Reminder will be 6

Step-by-step explanation:

We know that 3^3 is congruent to -1 (mod 7). So

3^1989 = (3^3)^663 is congruent to (-1)^663

= -1 (mod 7)

But -1 is congruent to 6 (mod 7)

So the required remainder is 6

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