Question

Test the divisibility of the following numbers by $2,3$ and $6$.

$2842$

Answer 1

Step 1:- Check the divisibility of the number by $2$.

Divisibility rule of $2$:- A number is divisible by $2$ if its one digits is $0,2,4,6$ or$8.$

In the given number $2842$, one digit place is $2$.

So the number $2842$ will be divisible by $2$.

Step 2:-Check the divisibility of the number by $3$.

Divisibility rule of $3$:- A number is divisible by $3$if the sum of its digits is divisible by $3$.

Sum of the number$2842$$=2+8+4+2=16$, Which is not divisible by $3$.

The given number $2842$ will not be divisible by $3$.

Step 3:-Check the divisibility of the number by $6$.

Divisibility rule of $6$:- A number is divisible by $6$ if the number is divisible by both $2$ and $3$.

The number $2842$ is divide by $2$ but does not divide by $3$ so the number will not be divisible by $6$.

Hence, the number $2842$ will be divisible by $2$ but will not divisible by $3$ and $6$.