Divisibility Rule of 66

The divisibility rule for 66 is a method by which we can find out if a number is divisible by 66 or not without using the division method. A number is divisible by 66 if it is divisible by both 2 and 3 and 11. This means:

1. The number must be even (divisible by 2).

2. The sum of the digits must be divisible by 3.

3. The difference between the sum of the digits in odd positions and the sum of the digits in even positions must be a multiple of 11.

Check whether 1452 is divisible by 66 using the divisibility rule.

Step 1: Check divisibility by 2. Since 1452 ends in 2, it is divisible by 2.

Step 2: Check divisibility by 3. Sum the digits: 1+4+5+2=12. Since 12 is divisible by 3, 1452 is divisible by 3.

Step 3: Check divisibility by 11. Alternately add and subtract the digits: 1-4+5-2=0. Since 0 is divisible by 11, 1452 is divisible by 11.

Since 1452 meets all three conditions, it is divisible by 66.

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 66.

Know the multiples of 66:

Memorize the multiples of 66 (66, 132, 198, 264…etc.) to quickly check the divisibility.

Use shortcuts:

If a number is even and the sum of its digits is a multiple of 3, check for divisibility by 11 to confirm divisibility by 66.

Repeat the process for large numbers:

Students should keep repeating the divisibility process for 2, 3, and 11 until they reach a small number that is divisible by 66.

Use the division method to verify:

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

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 66 are 66, 132, 198, etc.

• Even numbers: Numbers that are divisible by 2.

• Sum of digits: The total obtained by adding all the digits of a number.

• Alternating sum of digits: The result of alternately adding and subtracting the digits of a number.