Divisibility Rule of 135

The divisibility rule for 135 is a method by which we can determine if a number is divisible by 135 or not without using the division method. Check whether 5400 is divisible by 135 with the divisibility rule.

Step 1: Check if the number is divisible by 5. A number is divisible by 5 if its last digit is 0 or 5. Here, in 5400, the last digit is 0.

Step 2: Check if the number is divisible by 9. A number is divisible by 9 if the sum of its digits is a multiple of 9. Here, 5 + 4 + 0 + 0 = 9, which is a multiple of 9.

Step 3: Check if the number is divisible by 3. A number is divisible by 3 if the sum of its digits is a multiple of 3. Here, the sum is 9, which is a multiple of 3.

Since 5400 satisfies the divisibility rules for 5, 9, and 3, it is divisible by 135.

Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 135.

• Know the multiples of 135: Memorize the multiples of 135 (135, 270, 405, 540, etc.) to quickly check divisibility.
   
• Use the divisibility rules for 5, 9, and 3: Ensure all three rules apply to confirm divisibility by 135.
   
• Repeat the process for large numbers:  Students should keep applying the divisibility process for each factor of 135 until they reach a smaller number that can be easily checked.
   
• 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 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 135 if it is divisible by 5, 9, and 3.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 135 are 135, 270, 405, 540, etc.
   
• Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
   
• Sum of digits: The sum of digits refers to adding all the digits of a number together to check divisibility, for example, by 9 or 3.
   
• Verification: The process of confirming the divisibility by using another method, such as direct division, to ensure the result is correct.