**Divisibility Rules :**

In this section, we are going to see, how to find whether one number is divisible by another number with out doing too much calculation.

The rules given in this section will help you to find whether one number is divisible by another number exactly.

If you wish to have practice problems on "Divisibility rules", **please click here**.

**1. Divisibility by 2 : **

All even numbers are divisible by 2.

The numbers which have the digits 0, 2, 4, 6 or 8 in one's place are known as even numbers.

If the given number has one of the above digits in one's place, then, the number is divisible by 2.

**2. Divisibility by 3 :**

To check whether the given number is divisible by 3, we have to add all the digits in the given number.

If the sum of the digits is a multiple of 3, then the given number is divisible by 3.

**3. Divisibility by 4 :**

If the last two digits of the given number are zeros or the number formed by the last 2 digits is divisible by 4, then the given number is divisible by 4.

**4. Divisibility by 5 :**

If the given number has 0 or 5 in one's place, then it is divisible by 5.

**5. Divisibility by 6 :**

If the given number is divisible by both 2 and 3, then it is divisible by 6.

We already know that all even numbers are divisible 2.

Hence, all the even numbers which are divisible by 3 are divisible by 6.

**6. Divisibility by 7 :**

A number is divisible by 7, when the difference between twice the digit in one's place and the number formed by other digits is either zero or a multiple of 7.

**7. Divisibility by 8 :**

In the given number, if the last three digits are zeros or the number formed by the last 3 digits is divisible by 8, then the given number is divisible by 8.

**8. Divisibility by 9 :**

To check whether the given number is divisible by 9, we have to add all the digits in the given number.

If the sum of the digits is a multiple of 9, then the given number is divisible by 9.

**9. Divisibility by 10 :**

If the given number has 0 in one's place, then it is divisible by 10.

**10. Divisibility by 11 :**

In the given number, if the sum of the digits in odd places and sum of the digits in even places are equal or they differ by a number divisible by 11, then the given number is divisible by 11.

**11. Divisibility by 12 :**

If the given number is divisible by both 3 and 4, then it is divisible by 12.

**12. Divisibility by 15 :**

If the given number is divisible by both 3 and 5, then it is divisible by 15.

**13. Divisibility by 18 :**

If the given number is divisible by both 2 and 9, then it is divisible by 18.

**13. Divisibility by 25 :**

In the given number, if the last two digits are zeroes or the number formed by the last two digits is a multiple of 25, then the given number is divisible by 25.

If you wish to have practice problems on "Divisibility rules", **please click here**.

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

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