Divisibility Rule of 675

The divisibility rule for 675 is a method by which we can find out if a number is divisible by 675 or not without using the division method.

Check whether 1350 is divisible by 675 with the divisibility rule.  

Step 1: Verify if the number is divisible by 5. A number is divisible by 5 if its last digit is either 0 or 5. In 1350, the last digit is 0. Hence, it is divisible by 5.

Step 2: Verify if the number is divisible by 9. A number is divisible by 9 if the sum of its digits is divisible by 9. In 1350, the sum of the digits is 1 + 3 + 5 + 0 = 9, which is divisible by 9.

Step 3: Verify if the number is divisible by 3. A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits of 1350 is 9, which is divisible by 3.

Since 1350 is divisible by 5, 9, and 3, it is divisible by 675.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 675.

• Know the multiples of 675: Memorize the multiples of 675 (675, 1350, 2025, 2700, etc.) to quickly check divisibility. If the result from the checks is a multiple of 675, then the number is divisible by 675.

• 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: A set of rules used to find out whether a number is divisible by another number without performing division.

• Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 675 are 675, 1350, 2025, etc.

• Integer: Numbers that include all whole numbers, negative numbers, and zero.

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

• Verification: Checking the correctness of results by applying a known method, such as division, to confirm divisibility.