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Find Remainder when (13 {}^{13} + 1)(13 13 +1) is divided by 14
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Answer 1

Step-by-step explanation:

Given :-

13^13 +1 is divided by 14

To find :-

Find the remainder ?

Solution :-

Given number is 13^13 +1

It can be written as 13^13 + 1^13

On comparing this with x^n + y^n

we have ,

x = 13

y = 1

n = 13

Here , n is an odd number

We know that

x^n + y^n is divisible by (x + y) when n is odd.

So,

13^13 + 1 is divisible by 13+1 = 14

So, It is completely divisible by 14

We know that

If a number exactly divisible by another number then the remainder is zero.

So, The remainder is 0

Answer:-

The remainder for the given problem is 0

Used formulae:-

• x^n + y^n is divisible by (x + y) when n is odd number .

Answer 2

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