#6 Remainder Theorem (Part 6) | Fermat's little theorem - Remainder in 5 sec if divided by prime no

To make you understand Remainder Theorem thoroughly , we have brought 12 video lessons of 15 to 20 minutes each and this is the 6th lesson in the series.

We are solving the remainders for the following problems -
1)2^90 is divided by 89
2) 39^22 is divided by 7
3) 17^433 is divided by 109
4) 12^114 is divided by 17
5) 659 is divided by 11
6) 30^100 is divided by 17

After watching the entire series of 12 video lessons on Remainder Theorem, you will understand -
1) How to find remainders?
2) The concept of negative remainders?
3) Theory of common factors?
4) Fermat's Little Theorem
5) Euler's Totient Theorem
6) Wilson Theorem
7) Application of Binomial theory to find remainders?

𝐓𝐨 𝐤𝐧𝐨𝐰 𝐦𝐨𝐫𝐞 𝐚𝐛𝐨𝐮𝐭 𝐮𝐬:

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[Yashhh]

this channel really needs a million subscribers ! thank you so much sir, I wasn't able to understand the fermat's algorithm due to its notation but you made it really easy !

[ninjaniaptmotive]

Thank you so much sir watching from Philippines 🇵🇭 🎉

[niteshwarnarayansingh]

sir @ 23: 10 u take the wrong denominator which should be 17

[navithaarigela]

I have applied the negative remainder theorem for the problems you explained, but it gives a different remainder. how can I know which one needs to apply?

[abd......]

Can we take numerator as a prime and denominator as a composite. (as both were coprime to each other)

[hope_is_music]

Base - prime number
Power - base-1
Num and den should be coprime.
Remainder is always be 1

[Deepika-fkon]

Why did you make 30 to 13 and 17 to 16 in the last problem sir?

[avnishagarwal]

What is the relevance of fermats rule if we can solve all this question with the help of Euler's remainder theorem as well

[barryzeeberg]

at 24:04 he seems to switch the denominator from 17 to 16 by mistake?

[deepthysusanjays]

Sir @ 18:58 the question you did was different from that was printed on the screen. That being the case won't the remainder be 8 for the question 12 ^114 divided by 17 ?

[garimasingh]

Thanku so much sir
This video is gonna be very helpful for my tomorrow's viava

[nehalansari]

Thank you so much
Keep doing the good work ☺️

[Rahulkrdutta]

In the last example, you've made 17 to 16..but the answer will be same in either case.. b'coz 168*169 /17 will be -1*-1., by the concept of negative remainders, so the product will be +1... Well, i think this is a silly mistake from your side..

[vedprakash]

If p isn't a prime number then how can we solve it? Like 2020^2020/12=?

[vetofficial]

sir you are great you made me understand this thing very easily

[keepsmiling]

I wish I could understand what you are saying! :(

[duadabhaskar]

20:03 mein question kya hae aur answer kya hae?

[ajayjob]

I've never seen such type of video's.... i liked so much.... my all confusion is now cleared

[mahmudhussain]

18:14 yaha pe question pe 12^114 hain, , na ki 12^144....