Question 82

What is the remainder when $$2^{45}$$ is divided by 5 ?

Solution

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given that 

$$2^{45}$$\5 = 2 $$\times$$ $$2^{44}$$\5 = 2$$\times$$ $$2^{4}$$ $$\times$$ $$2^{11}$$ \5 

$$2^{4}$$ $$\times$$ $$2^{11}$$ \5  = 1 

then 

2 is the remainder Answer 

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