Question

Determine whether $6531088$ 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 number $6531088$ has $8$ in its last digit , which is divisible by $2$ $\left[\because 2\times 4=8\right]$

Therefore $6531088$ 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 $6531088$ is $88$ which is divisible by $4$ $\left[\because 4\times 22=88\right]$

Therefore $6531088$ 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 $6531088$ is $088$ i.e., $88$ which is divisible by $8$ $\left[\because 8\times 11=88\right]$

Therefore $65321048$ is divisible by $8$.

Hence , $6531088$ is divisible by $2,4$ and $8$