**Divisibility by 6 :**

Here we are going to see how to check whether the given number is divisible by 6 or not.

If a number is divisible by 2 and 3, it is divisible by 6.

Hence all even numbers which are divisible by 3 are divisible by 6

Divisibility test is the topic in which we are going to see the shortcuts to predict one number is divisible by another number with out doing too much calculation.

Once we remember these rules we can easily divide two numbers without calculator.

**Example 1 :**

Test whether 5832 is divisible by 6?

**Solution :**

Here the given number is an even number. Hence it is divisible by 2. Now we have to check whether it is divisible by 3 or not for that we have to find the sum of the digits 5 + 8 + 3 + 2 = 18 .

The sum of the digits is divisible by 3. Hence the given number 5832 is divisible by 3.

**Example 2 :**

Test whether 4538 is divisible by 6?

**Solution :**

It is an even number. Hence it is divisible by 2. The sum of the digits ** 4 + 5 + 3 + 8 = 20 **.

The sum of the digits is not divisible by 3. Hence the given number 4538 is not divisible by 6.

**Example 3 :**

Test whether 1056 is divisible by 6?

**Solution :**

It is an even number. Hence it is divisible by 2. The sum of the digits ** 1 + 0 + 5 + 6 = 12 **.

The sum of the digits is divisible by 3. Hence the given number 1056 is divisible by 6.

**Example 4 :**

Test whether 2106 is divisible by 6?

**Solution :**

It is an even number. Hence it is divisible by 2. The sum of the digits 2 + 1 + 0 + 6 = 9 .

The sum of the digits is divisible by 3. Hence the given number 2106 is divisible by 6.

After having gone through the stuff given above, we hope that the students would have understood "Divisibility by 6"

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