Question

Determine whether $5321048$ 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 $0,2,4,6,8$

The last digit in $5321048$ is $8$ which is divisible by $2$ .

Therefore $5321048$ is 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 last two digits of $5321048$ is $48$ which is divisible by $4$ $\left[\because 4\times 12=48\right]$

Therefore $5321048$ is 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 formed by last three digits of $5321048$ is $048$ i.e., $48$ which is divisible by $8$ $\left[\because 8\times 4=48\right]$

Therefore $5321048$ is divisible by $8$

Hence , $5321048$ is divisible by $2,4$ and $8$