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Find the remainder when 2 2013 is divided by 17.

Find the remainder when 22013  is divided by 17. 

Grade:12

1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
6 years ago
Hi,

Wirte 22013 as 2(17-1)503
Now write the binomial expansion of this term, you will see that the last term containing 170 is the suspicious term. Rest all will be divisible as they have powers of 17.
But if this term is negetive, look at the second last term.

Combine thoes two terms numerically and divide by 17 and then analyze the remainder.
Dont forget to take the 2 written outside the expanison.

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