Divisibility Rule of 264

The divisibility rule for 264 is a method by which we can find out if a number is divisible by 264 without using the division method. Check whether 15840 is divisible by 264 with the divisibility rule.

Step 1: Check if the number is divisible by 8. For 15840, the last three digits are 840, which is divisible by 8 (840 ÷ 8 = 105).

Step 2: Check if the number is divisible by 3. Add the digits: 1 + 5 + 8 + 4 + 0 = 18. Since 18 is divisible by 3, 15840 is divisible by 3.

Step 3: Check if the number is divisible by 11. Alternately subtract and add the digits: 1 - 5 + 8 - 4 + 0 = 0. Since 0 is divisible by 11, 15840 is divisible by 11.

As the number 15840 is divisible by 8, 3, and 11, it is divisible by 264.

Understanding divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 264.

Know the divisibility rules for 8, 3, and 11:

Memorize the rules for these numbers to quickly check divisibility by 264. If a number satisfies all three rules, it is divisible by 264.

Use smaller components:

Breaking down the divisibility check into smaller parts (8, 3, and 11) makes it easier to handle larger numbers.

Repeat the process for large numbers:

For very large numbers, break them down and check each part for divisibility by 8, 3, and 11 separately.

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. For example, a number is divisible by 8 if its last three digits form a number divisible by 8.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 264 are 264, 528, 792, etc.

• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.

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

• Division: Division is the process of determining how many times one number is contained within another.