# what is the remainder 2^246 if it is divisible by 7?

420 Points
12 years ago

Dear Chirag

2246= (23)82= (7+1)82

now expand using binomial theorem

782 + 82C0 781*1+............+182

= 7k+1

remainder will be 1

All the best.

AKASH GOYAL

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420 Points
12 years ago

Dear Chirag

2246= (23)82= (7+1)82

now expand using binomial theorem

782 + 82C0 781*1+............+182

= 7k+1

remainder will be 1

All the best.

AKASH GOYAL

Please feel free to post as many doubts on our discussion forum as you can. We are all IITians and here to help you in your IIT JEE preparation.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.