Question

Whats the remainder when 5 to the power 75 divided by 3?

Answer 1

Answer:

The remainder will be 2.

Step-by-step explanation:

Consider the provided information.

It is given that we need to divide the power with 3.

Now if we divide any number with 3 the possible remainders are: 0,1 and 2.

5 is not divisible by 3. Therefore remainder cannot be 0.

Now, observe the pattern.

Remainder is 2 if we divide 5 with 3.

Remainder is 1 if we divide 5² with 3.

Remainder is 2 if we divide 5³ with 3.

That means for even numbers of power Remainder will be 1 and for odd numbers of power Remainder will be 2.

Here, 75 is an odd number so remainder will be 2.

Hence, the remainder will be 2.

Answer 2

Answer:

2

Step-by-step explanation:

5^1 = 5

5^2 = 25

5^3 = 125

5^4 = 625

For  any power of 5, unit digit would be 5

Therefore in the question  5^75 would have unit digit 5

Hence when 5  is divided by 3 it will give  remainder  2.

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