Question

$244$ chocolates need to be equally distributed among monsters. No chocolates were left undistributed. How many monsters are there?

Answer 1

Total number of chocolates $=244$

• No chocolates were left undistributed hence, we have to find an option which completely divides $244$.

Option A) $5$

• We have to find whether or not $244$ chocolates can be equally divided among $5$ monsters.
• The numbers that are divisible by $5$ should have $0$ or $5$ at ones place. Hence, $244$ is not divisible by $5$.

Option B) $9$

• We have to find whether or not $244$ chocolates can be equally divided among $9$ monsters.
• If the sum of the digits of a number is divisible by $9$, then the number itself is divisible by $9$.
• Sum of the digits in $244$ is $2+4+4=10$.
• $10$ is not divisible by $9$.
• Hence, $244$ is not divisible by $9$

Option C) $4$

• We have to find whether or not $244$ chocolates can be equally divided among $4$ monsters.
• The number formed by the last two digits of $244$ is $44$, which is divisible by $4$. Thus, $244$ is divisible by $4$.

Option D) $3$

• We have to find whether or not $244$ can be equally divided among $3$ monsters.
• A number is completely divisible by $3$ if the sum of its digits is divisible by $3$.
• The sum of all the digits of $244$ is $2+4+4=10$.
• $10$ is not divisible by $3$.
• So, $244$ is not divisible by $3$

Hence, the chocolates were distributed among $4$ monsters.