Question

A number x when divided by 13 leaves remainder 12 what is the remainder when we divided expo 13 by 13

Answer 1

Answer:

12

Step-by-step explanation:

According to the question we have to find the number which when divided by 13 leaves a remainder 12.

Let us consider the smallest possible number that is 13 + 12 which gives 25.

Now let's apply a brute force method when 25 has power 1 we get a remainder 12.

When 25 has power 2 and divided by 13 we get remainder 1.

Again when 25 raised to power 3 and divided by 13 we get remainder 12.

And 24 raised to power 4 and divided by 13 we get remainder as 1.

Thus it is pretty much obvious that for all even powers of the number we are getting remainder as 1 whereas all odd power of the number we are getting remainder as 12.

In the question we are asked to find out when the number is raised to power 13 which is a odd number therefore we will get a remainder of 12.