Test for Divisibility of Numbers

Prove the following property of divisibility:

If $a,b,$ and $c$ are three natural numbers such that $a$ is divisible by $b$, and $b$ is divisible by $c$, then $a$ is divisible by $c$ also.

Explain the following property with the help of an example

If $a,b,$ and $c$ are three natural numbers such that $a$ is divisible by $b$, and $b$ is divisible by $c$, then $a$ is divisible by $c$ also.

Explain the following property with the help of an example

If a number is divisible by another number, then it is divisible by each of the factors of that number.

Create two different four-digit numbers that are divisible by: 

$4, 6$ and $9$

Let's write down the conditions of divisibility.

Conditions of divisibility by $10$

The unit's digit of the number must be  

Sheela and her $8$ friends paid Rs.$225$ as fare to return home. If each pays equally, let's calculate how much each will have to pay.

$225$$2+2+5=$by $9$

Then, let's divide $225$ by $9$ and see if it is divisible.

$225$ is  by $9$

Each paid Rs. for the fare.

Studipo has bought $1$ kilogram of jalebis. He counted that there are $48$ jalebis. Let's see if $9$ of us can have equal members of $48$ jalebis without breaking any.

$48$$4+8=12$by $9$

Now let's see if $48$ is divisible by $9$

Shikha bought one packet of toffees. She counted $126$ toffees in the packet. Let's see if $9$ of us can take equal members of toffees without having to break any.

$126$$1+2+6=9$. divisible by $9$

Would $126$ be divisible by $9$ then? Let's divide and find out.

So $126$ is divisible by $9$.

Each of us got  toffees.

Let's check divisibility by $9$, without actually dividing.

Let's check divisibility by $9$, without actually dividing.

Let's check divisibility by $9$, without actually dividing.

$72$

Let's check divisibility by $9$, without actually dividing.

There are many numbers in the box below. Let's place them correctly in the boxes below,

Numbers divisible by $10$

In the numbers below, lets () the numbers divisible by $10$

We see that the number which have $0$ in the unit's place, when divided by $10$, leave a remainder of 

$10\overline{)106}$

The remainder is 

$106$ is by $10$  

We see that the number which have $0$ in the unit's place, when divided by $10$, leave a remainder of 

$10\overline{)110}$

The remainder is 

$110$ is by $10$  

We see that the number which have $0$ in the unit's place, when divided by $10$, leave a remainder of 

$10\overline{)54}$

The remainder is 

$54$ is by $10$  

We see that the number which have $0$ in the unit's place, when divided by $10$, leave a remainder of 

$10\overline{)42}$

The remainder is 

$42$ is by $10$  

We see that the number which have $0$ in the unit's place, when divided by $10$, leave a remainder of 

$10\overline{)21}$

The remainder is 

$21$ is by $10$  

The number $50$_____$19$ is exactly divisible by $9$.