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What is the remainder when the number (4444)4444 is divided by 9?

What is the remainder when the number (4444)4444 is divided by 9? Correct Answer 7

Calculation:

Since 9 divides 4437, therefore it leaves the remainder 7 when 4444 is divided by 9

Remainder when (7)1 is divided by 9 = 7

Remainder when (7)2 is divided by 9 = 4

Remainder when (7)3 is divided by 9 = 1

Remainder when (7)4 is divided by 9 = 7

This can be generalized as follows:

Remainder when (4444)k is divided by 9 = x

The repeating pattern is 7-4-1-7-4-1

So, for K = 4444 i.e. multiple of 4 remainder = 7

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