Question

Find the remainder when 2^35 is divided by 31?

Answer 1

Helo mate here your ans

3 is the remainder when 2^{35}2

35

divided by 5.

Given:

2^{35}2

35

divided by 5

To find:

Remainder = ?

Solution:

To find the remainder of2^{35},2

35

,

Let us reconstruct the power of 2 in such a way that it is easy to solve, now as we can see that the power of 2 is 35, so to easily solve the division we are going to deconstruct the power 35 into (4 / 8 + 3)(4×8+3) which means dividing

Answer 2

Answer:

Remainder when 2^35 is divided by 31 is 0 as 2^35 = 34359738368 and when we divide it by 31, it completely divides it on 1108378657

Therefore, remainder is zero

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