Math, asked by gaganamdhanushpfavqa, 1 year ago

let n is equal to 6406207607 then the remainder when n square is divided by 8 is

Answers

Answered by shubhamjoshi033
6

Answer:

The remainder when the square of 6406207607 is divided by 8 will be 1

Step-by-step explanation:

Please consider the following answer,

Given,

n = 6406207607

=> n² = 6406207607 x 6406207607

=> n² = 41039495903984666449

The closest multiple of 8 is 41039495903984666448

=> n²/8 = 5129936987998083306 x 8 + 1

Hence the remainder when the square of 6406207607 is divided by 8 will be 1

Hope it will be helpful to you.


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Answered by sherafgan354
2

Answer:

So, our remainder is 1

Step-by-step explanation:

Our given number is

n = 6406207607

Let's take square of n

n^{2}=6406207607\times6406207607

n^{2}=41039495903984666449

Now if we divide the n² with 8, we get the following quotient

5129936987998083306.

As we know,

Dividedend = divisor * quotient + remainder ....(1

Substituting the values into above equation (1)

41039495903984666449 = 5129936987998083306*8 + R

Solving the above equation we get the remainder

R = 1

So, our remainder is 1


mansnotzombie: is there an easier method or some other method to find this by using factors or something else?
yoshitapant: Any easier method?
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