Question

what will be the remainder when 4^6788 is divided by 5

Answer 1

Answer:

Step-by-step explanation:

These kind of questions can be answered using pattern method or using binomial theorem. This question particularly follows pattern method.

Let us look at Pattern method with the above question:

If we take 4^1 divided by 6, the remainder is 4.

4^2 divided by 6, remainder is 4.

4^3 divided by 6, remainder is 4 and so on...

So whatsoever be the power of 4, when divided by 6, the remainder is 4.

So, Answer for  the above question is 4.

As the remainder follows certain pattern, this method is used.

In some cases, this method may not be useful as the remainder doesnt folow any particular pattern. In such cases, we have to use binomial theorem, remainder theorem and etc. However, it is not required for the above problem.