Divisibility Rule of 111

The divisibility rule for 111 is a method by which we can find out if a number is divisible by 111 without performing division. Check whether 3696 is divisible by 111 using this rule.

Step 1: Separate the number into groups of three digits from the right. Here, 3696 becomes 3 and 696.

Step 2: Add the numbers obtained in Step 1. 3 + 696 = 699.

Step 3: If the sum obtained is a multiple of 111, then the number is divisible by 111. Since 699 is a multiple of 111 (699 = 111 × 6), 3696 is divisible by 111.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 111.

Know the multiples of 111:

Memorize the multiples of 111 (111, 222, 333, 444, etc.) to quickly check divisibility. If the result from addition is a multiple of 111, then the number is divisible by 111.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 111. 

For example, check if 12321 is divisible by 111 using the divisibility test. Separate into groups of three digits: 12 and 321. Add them: 12 + 321 = 333. Since 333 is a multiple of 111, 12321 is divisible by 111.

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 guidelines 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 111 are 111, 222, 333, etc.

• Addition: The process of combining numbers to obtain their total.

• Integer: A number that includes all whole numbers, negative numbers, and zero.

• Grouping: The process of organizing numbers into specified sets or units, such as grouping digits in sets of three for divisibility checks.