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Find the remainder of the given sum and explain why... 257 98 ÷256

Find the remainder of the given sum and explain why...
25798÷256

Grade:10

1 Answers

Ritika Das
105 Points
4 years ago
We know that 257/256 gives us a remainder of 1 and moreover 257 is clearly not a multiple of 256. Therefore any power of 257(example 257or 2573) will leave a remainder of 1 when divided by 256. Consider the following case : – 
61/5 gives remainder 1 and 36=62 when divided by 5 gives remainder 1 as well.
Thus 25798/256 will also give a remainder of 1.
Please approve my answer.
Regards.

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