Divisibility Rule of 110

The divisibility rule for 110 is a method by which we can find out if a number is divisible by 110 or not without using the division method. A number is divisible by 110 if it is divisible by both 10 and 11.

Check whether 220 is divisible by 110 with the divisibility rule.

Step 1: Check divisibility by 10. A number is divisible by 10 if its last digit is 0. Here, in 220, the last digit is 0.

Step 2: Check divisibility by 11. Subtract the last digit from the rest of the number. If the result is a multiple of 11, then the number is divisible by 11. For 220, subtract 0 from 22, resulting in 22, which is a multiple of 11.

As both conditions are satisfied, 220 is divisible by 110.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 110.

Know the multiples of 110:

Memorize the multiples of 110 (110, 220, 330, 440, etc.) to quickly check divisibility. If the result from the checks is a multiple of 110, then the number is divisible by 110.

Repeat the process for large numbers:

Students should keep repeating the divisibility process for both 10 and 11 until they reach a conclusive result. For example, check if 1210 is divisible by 110 using the divisibility test.

   - For divisibility by 10, the last digit is 0, so it is divisible by 10.
   - For divisibility by 11, subtract 0 from 121, resulting in 121, which is a multiple of 11.

As both conditions are satisfied, 1210 is divisible by 110.

Use the division method to verify:

Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.

• Divisibility Rule: A set of rules used to determine whether a number is divisible by another number without performing division.

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 110 are 110, 220, 330, etc.

• Integers: Whole numbers, including positive, negative numbers, and zero.

• Subtraction: The process of finding the difference between two numbers by reducing one number from another.

• Even Number: A number that is divisible by 2. For divisibility by 10, the last digit must be an even number, specifically 0.