INTRODUCING 5 - days-a-week problem solving session for Math Olympiad and ISI Entrance. Learn More 

February 10, 2020

Divisibility and Remainder -Mathematical Circles - Problem 16

What is Remainder?


A remainder in mathematics is what's left over in a division problem. In the division process, the number we want to divide up is known as the dividend, while the number we are dividing by is referred to as the divisor; the result is the quotient. Let's solve a problem based on divisibility and remainder.

Try the problem from Mathematical Circles - Divisibility and Remainder - Problem 16


Prove that the number $(n^3+2\times n)$ is divisible by 3 for a natural number $n$.

Mathematical Circles

Divisibility and Remainder

4 out of 10

Mathematical Circle

Knowledge Graph


divisibility and remainder

Use some hints


the number $n$ can give any of the following remainders 0,1 or 2 when divided by 3.

if $n$ has remainder 0, therefore $n^3$ and $2n$ both are divisible by 3. Hence it is proved.

Subscribe to Cheenta at Youtube


Leave a Reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Cheenta. Passion for Mathematics

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.
JOIN TRIAL
support@cheenta.com