(4^61 + 4^62 + 4^63 + 4^64 ) is divisible by [ ]

1) 3
2) 11
3) 13
4) 17

Note: Please help me solve this question by using Fermat’s theorem

Question

(4^61 + 4^62 + 4^63 + 4^64 ) is divisible by [ ] 1) 3 2) 11 3) 13 4) 17 Note: Please help me solve this question by using Fermat’s theorem

Rahul Sanapala · Answer

I think the answer to the above question is 10 (4 61 + 4 62 + 4 63 + 4 64 ) = 4 61 x (1 + 4 + 4 2 + 4 3 ) = 4 61 x 85. = 4 60 x (4 x 85). = ( 4 60 x 340), which is divisible by 10 But the problem is, 10 is not given in the options..so kindly help.

Vikas TU · Answer

Dear student Please refer the below link , If you have any doubt , you can ask again . https://www.askiitians.com/forums/Algebra/22/30987/math-problem-2.htm Good Luck

Rahul Sanapala · Answer

Yes, i refered to the link but the answer in there is 10, but 10 is not given in the options of my question. Do you know if we can solve this using Fermat’s little theorem.

Yash Chourasiya · Answer

Dear Student Given 4 61 + 4 62 + 4 63 + 4 64 &rarr; 4 61 (1 + 4 + 4 2 + 4 3 ) &rarr; 4 61 . (1 + 4 + 16 + 64) &rarr; 4 61 . (85) &rarr; 4 61 . (17*5) So divisible by 17. I hope this answer will help you. Thanks & Regards Yash Chourasiya

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(4^61 + 4^62 + 4^63 + 4^64 ) is divisible by [ ] 1) 3 2) 11 3) 13 4) 17 Note: Please help me solve this question by using Fermat’s theorem

(4^61 + 4^62 + 4^63 + 4^64 ) is divisible by [ ]

1) 3
2) 11
3) 13
4) 17

Note: Please help me solve this question by using Fermat’s theorem

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(4^61 + 4^62 + 4^63 + 4^64 ) is divisible by [ ] 1) 3 2) 11 3) 13 4) 17 Note: Please help me solve this question by using Fermat’s theorem

(4^61 + 4^62 + 4^63 + 4^64 ) is divisible by [ ]1) 32) 113) 134) 17 Note: Please help me solve this question by using Fermat’s theorem

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(4^61 + 4^62 + 4^63 + 4^64 ) is divisible by [ ]

1) 3
2) 11
3) 13
4) 17

Note: Please help me solve this question by using Fermat’s theorem