Grade 9Magical Mathematics[Interesting Approach]

2 to the power of 256 when divided by 17 gives the rem.----??? Pls explain!!!t

Shivam Bhagat

15 Years agoGrade 9

4 Answers

Vijay Luxmi Askiitiansexpert

15 Years ago

Dear Shivam,

Please don't post the same question twice...

Aman Bansal

15 Years ago

DEAR PANKAJ,

2^256 = {(2^8 )^32}/17 = {(256)^32}/17

= {(255+1)^32}/17= 1^32/17 [ as 255 is divisble by 17 so remainder is

0 and we left with 1 only]

=1

remainder=1

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AMAN BANSAL

aanchal gupta

11 Years ago

THANKS. BUT MAKE IT LITTLE MORE “ INFORMATIVE“.

LITTLE hard FOR YOUNGSTERS TO UNDERSTAND.

kartheeek

11 Years ago

2 power 256 is equal to16 power 64. we know that remainder when 16 divided by 17 is -1.so when 16 power 64 is divided by17 the remainder is -1 power 64 which is equal to 1