Question

Arrange the digits of the four-digit number $6014$ such that it is the smallest possible number divisible by $8.$

Answer 1

For a four-digit number, the four digits must be arranged in such a way that it starts with digits other than $0.$

For the smallest possible number, it must start with the smallest available digit, other than $0.$

$\therefore$ The number is in the form: $1\underset{–}{}$

Again, the next digit should be the smallest available digit, i.e., $0.$
$\therefore$ The number is in the form: $10\underset{–}{}$

Now, arranging the digits $6$ and $4,$ we find that $64$ is divisible by $8.$

Hence, smallest possible number divisible by 8 using given digits is $1064$