Divisibility Rule of 36

The divisibility rule for 36 is a method by which we can find out if a number is divisible by 36 or not without using the division method. Check whether 216 is divisible by 36 with the divisibility rule.

Step 1: Check if the number is divisible by both 4 and 9, as 36 is the product of these two numbers.

   
Step 2: To check divisibility by 4, look at the last two digits. If the last two digits form a number that is divisible by 4, then the number is divisible by 4. Here, 16 is divisible by 4.

Step 3: To check divisibility by 9, add all the digits of the number. If the sum is divisible by 9, then the number is divisible by 9. For 216, 2+1+6=9, which is divisible by 9.

Step 4: Since 216 is divisible by both 4 and 9, it is divisible by 36.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 36.

• Know the multiples of 36: Memorize the multiples of 36 (36, 72, 108, 144, etc.) to quickly check divisibility. If the result confirms the number is a multiple of both 4 and 9, then it is divisible by 36.
   
• Use smaller divisibility rules: Since 36 is composed of 4 and 9, use these smaller rules for easier calculations.
   
• Repeat the process for large numbers: For larger numbers, apply the divisibility tests for 4 and 9 separately. For example, check if 1296 is divisible by 36. The last two digits, 96, are divisible by 4, and 1+2+9+6=18, which is divisible by 9. Thus, 1296 is divisible by 36.
   
• Use the division method to verify: Students can use the division method 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 without performing division.
   
• Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 36 are 36, 72, 108, etc.
   
• Integers: Whole numbers that include positive numbers, negative numbers, and zero.
   
• Sum of digits: Adding all the digits of a number to check for divisibility, especially for rules like divisibility by 9.
   
• Last two digits: The last two digits of a number, used to check divisibility by 4.