Divisibility Rule of 528

The divisibility rule for 528 is a method by which we can find out if a number is divisible by 528 or not without using the division method. Check whether 1056 is divisible by 528 with the divisibility rule.

Step 1: Check if the number is divisible by 2, 3, and 11. If a number is divisible by all three, it is divisible by 528.

- Divisibility by 2: 1056 ends in an even number, so it's divisible by 2.

- Divisibility by 3: Sum the digits of 1056, which are 1+0+5+6=12. Since 12 is divisible by 3, 1056 is divisible by 3.

- Divisibility by 11: Alternately subtract and add the digits of 1056 (1-0+5-6=0). Since 0 is divisible by 11, 1056 is divisible by 11.

Step 2: Since 1056 is divisible by 2, 3, and 11, it is divisible by 528.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 528.

Know the prime factors of 528:

Recognize that 528 is made up of 2, 3, and 11. If a number is divisible by these factors, it is divisible by 528.

Use negative numbers:

If the result of checking divisibility by 11 is negative, consider its absolute value for checking divisibility.

Repeat the process for large numbers:

Students should continue to apply divisibility rules for large numbers by examining each factor (2, 3, and 11) independently.

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: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if it ends with an even number.

• Prime factors: The prime numbers that multiply together to create a number. For example, the prime factors of 528 are 2, 3, and 11.

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

• Sum of digits: The result of adding all the digits of a number. Used to check divisibility by 3.

• Alternating sum: A method used in the divisibility rule for 11, where you alternately subtract and add the digits of a number.