Question

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

$100637$

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 $100637$, one digit place is $7$.

So the number $100637$ will not 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 $100637$$=1+0+0+6+3+7=17$, Which is not divisible by $3$.

The given number $100637$ 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 $100637$ is not divide by both $2$and $3$ so the number will not be divisible by $6$.

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