What is the remainder of 3^256 when divided by 5?

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and I was trying to solve this this by binomial theorem 😅

kshitijdeshmukh
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In general, a^phi(n)=1 mod n, where phi is the euler totient function. Taking any integer power of both sides retains the value of 1. phi(5)=4 and 256=64*4, so 3^256=(3^4)^64=1^64=1 mod 5.

sylowlover
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saismile
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Could you please make a video on it with more questions!!! 😢

Edakhaan
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I really love your videos... I am in class 7 so this helps me a lot.

Young_Artist_Jiya
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what about number enging with 4 and 9?

alenshyju
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Fun fact while I am watching this this video have have 256 likes and 5 comment

amritsahani
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There's a method with binomial theorem too right?

noooooo
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How u knew that 3²⁵⁶ will also end with power 1 🤔

jeena_s._regi
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