Divisibility Rule of 567

The divisibility rule for 567 is a method by which we can find out if a number is divisible by 567 or not without using the division method. Check whether 5670 is divisible by 567 with the divisibility rule.

Step 1: Check if the number is divisible by 3. Calculate the sum of the digits of the number. If the sum of the digits is divisible by 3, proceed to the next step. For 5670, the sum is 5+6+7+0=18, which is divisible by 3.

Step 2: Check if the number is divisible by 9. Calculate the sum of the digits of the number again. If the sum is divisible by 9, proceed to the next step. For 5670, the sum is 18, which is divisible by 9.

Step 3: Check if the number is divisible by 21. Divide the number by 21. If there is no remainder, the number is divisible by 21. For 5670, 5670/21=270, which gives no remainder.

Since 5670 is divisible by 3, 9, and 21, it is divisible by 567.

Learning the divisibility rule helps in mastering division. Let’s learn a few tips and tricks for the divisibility rule of 567.

• Know the multiples of 567: Memorize the multiples of 567 (567, 1134, 1701, etc.) to quickly check divisibility.

• Check for each factor: Ensure the number is divisible by 3, 9, and 21, as 567 = 3 × 9 × 21.

• 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 determine if a number is divisible by another number.

• Multiple: The results obtained when a number is multiplied by an integer.

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

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

• Factor: A number that divides another number without leaving a remainder.