When 2^666 is divided by 13, the remiander is...
The ans is 12; pls show me the workings; thx
University Maths Question.
2010-07-28 5:46 am
回答 (1)
2010-07-28 6:19 am
✔ 最佳答案
2^666= (2^6)^111= (13x5 - 1)^111= 13K - 1^111 were K is constant.= 13K - 1= 13(k+1) - 12 The remiander is 12.Method 2 :2^6=64 = -1 (mod 13)
2^666 = (-1)^111 = -1 = 12 (mod 13)So the remainder is 12
2010-07-27 23:17:36 補充：
Sorry for ome mistake :
13K - 1
= 13(k-1) + 12
The remiander is 12.
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