CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

What is the remainder when 599 is divided by 13.

Open in App
Solution

599=5.598=5.(25)49=5(261)49
=5[49C0(26)4949C1(26)48+...+49C48(26)149C49(26)0]
=5[49C0(26)4949C1(26)48+...+49C48(26)11]
=13(k)5 (where k is a positive integer)
=13(k1)+8
Hence, remainder is 8.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Binomial Theorem for Any Index
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon