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Let n = 6406207607, then the remainder, when n2 is divided by 8,

Question

Let n = 6406207607, then the remainder, when n2 is divided by 8,

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Solution

To solve this problem, we need to find the remainder when n^2 is divided by 8.

Step 1: Find the last digit of n. In this case, the last digit of n is 7.

Step 2: Square the last digit. 7^2 = 49.

Step 3: Find the remainder when the result is divided by 8. 49 divided by 8 gives a quotient of 6 and a remainder of 1.

So, the remainder when n^2 is divided by 8 is 1.

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