Divisibility Rule of 660

The divisibility rule for 660 is a method by which we can determine if a number is divisible by 660 or not without using the division method. To check the divisibility by 660, a number must be divisible by 2, 3, 5, and 11 as 660 is the product of these numbers. Let's break it down:

1. Divisibility by 2: The number must end in an even digit (0, 2, 4, 6, 8).

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

3. Divisibility by 5: The number must end in 0 or 5.

4. Divisibility by 11: The difference between the sum of the digits in odd positions and the sum in even positions must be a multiple of 11 or zero.

Check whether 6600 is divisible by 660 with the divisibility rule.

- Divisibility by 2: 6600 ends in 0, which is even.

- Divisibility by 3: Sum of digits = 6 + 6 + 0 + 0 = 12, which is divisible by 3.

- Divisibility by 5: 6600 ends in 0.

- Divisibility by 11: (6 + 0) - (6 + 0) = 0, which is a multiple of 11.

Since 6600 satisfies all these conditions, it is divisible by 660.

Learn the divisibility rule to master division. Here are a few tips and tricks for the divisibility rule of 660:

• Memorize the rules for 2, 3, 5, and 11: Knowing the individual rules helps in quickly checking divisibility by 660.
   
• Check in sequence: Start with easier checks like divisibility by 5 and 2, then move to 3 and 11.
   
• Simplify large numbers: Break down larger numbers into blocks to apply the rules more easily.
   
• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This helps in verification and learning.

• Divisibility Rule: A set of rules used to determine whether a number is divisible by another number without division.
   
• Multiples: The results obtained when a number is multiplied by integers.
   
• Sum of Digits: The total value obtained by adding all digits in a number.
   
• Even Number: A number ending in 0, 2, 4, 6, or 8.
   
• Difference of Sums: The result from subtracting the sum of digits in even positions from the sum of digits in odd positions.