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when divided by 17 what is the remainder
Asked by Girijeshpandey.rjil | 31 Mar, 2019, 09:53: AM
Expert Answer
.....................(1)
In the above eqn.(1), 17 can be factored out in all the terms of binomial expansion except the last term.
Hence eqn.(1) can be written as , 22018 = 4 [ 17m + 1 ] = (4×17×m)+4
where m is some integer
hence, ( 22018 /17 ) = [ (4×17×m)+4 ] /17 ......................(2)
From eqn.(2), we get remainder 4
Answered by Thiyagarajan K | 31 Mar, 2019, 01:49: PM
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