Question

What smallest number should be added to 4456 so that the sum is completely divisible by 6?

• A. $4$
• B. $3$
• C. $2$
• D. $1$
• E. None of these

Answer 1

The correct option is C $2$

We know that the divisibility test of $6$ states that a number is divisible by $6$ if the number is even and the sum of the digits is divisible by $3$.

Since, $4456÷6$ (Quotient$=742,$ Remainder $=4$)

Therefore required number $=(6-4)=2$

Hence, $2$ is the smallest number that should be added to $4456$ so that the sum is completely divisible by $6$.