Question

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

$6370$

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 $6370$, one digit place is $0$.

So the number $6370$ 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 of $6370$$=6+3+7+0=16$, Which is not divisible by $3$.

The given number $6370$ 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 $6370$ is divisible by $2$ but not divisible by $3$ so the number will not be divisible by $6$.

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