What is the remainder when 2100 is divided by 101? A)1 B)100 C)99 D)None of these

Laney Bradley

Laney Bradley

Answered question

2023-02-07

What is the remainder when 2100 is divided by 101? A)1 B)100 C)99 D)None of these

Answer & Explanation

Skyler Robertson

Skyler Robertson

Beginner2023-02-08Added 6 answers

The right decision is A 1
It is a direct application of Fermat’s Little theorem.
when p is a prime and a is a number co-prime to p ,then, a p 1 gives a remainder of 1 when divided by p.
101 is prime and 2 is co-prime to 101.
Therefore, 2 100 will result in a remainder of 1 when 101 is divided.

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