Question

Determine whether $54014$is divisible by $2,4$ or $8$

Answer 1

Step 1 - Checking the divisibility by $2$

A number is divisible by $2$ if its last ( unit’s) digit is divisible by $2$ I.e., if its last digit is $0,2,4,6,8$

$54014$ has $4$ as its last digit which is divisible by $2$. $\left[\because 2\times 2=4\right]$

Therefore $54014$is also divisible by $2$.

Step 2 - Checking the divisibility by $4$

A number is divisible by $4$ if the number formed by its last two ( unit’s and ten’s ) digits is divisible by $4$.

The number formed by unit's digit and ten's of $54014$ digit is $14$, which is not divisible by $4$.

Therefore $54014$ is not divisible by $4$.

Step 3 - Checking the divisibility by $8$

A number is divisible by $8$ if the number formed by its last three ( unit’s , ten’s and hundred’s ) digits is divisible by $8$.

The number is formed by last three digits of $54014$ is $014$ i.e., $14$ , which is not divisible by $8$ .

Therefore $54014$ is not divisible by $8$.

Hence , $54014$is divisible by $2$ but not divisible by $4$ and $8$.