Number theory : Why mod 100, 1000 ,etc?

Why do we deal with Euler's Theorem and perform calculation on mod 100,1000,etc. while solving questions like: What are the last three digits of \(7^{999}\) ?

Note by Swapnil Das
3 years, 1 month ago

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Euler theorem helps us to deal with large congruences like mod 100 and mod 1000 with ease.

Karthik Venkata - 3 years, 1 month ago

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Hey! I am launching a contest! ON BRILLIANT! Would u participate?

Swapnil Das - 3 years, 1 month ago

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Ok bro !

Karthik Venkata - 3 years, 1 month ago

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@Karthik Venkata It is just mini RMO contest on BRILLIANT!

Swapnil Das - 3 years, 1 month ago

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But why mod 100, 1000?

Swapnil Das - 3 years, 1 month ago

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For finding out the last and last but one digits , we work in mod 10 and mod 100 systems respectively.

Karthik Venkata - 3 years, 1 month ago

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@Karthik Venkata Oh thanks!

Swapnil Das - 3 years, 1 month ago

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