Divisibility Rule of 198

The divisibility rule for 198 is a method by which we can determine if a number is divisible by 198 without using the division method. Check whether 396 is divisible by 198 with the divisibility rule.  

Step 1: Since 198 is the product of 2, 3, and 11, check the divisibility by these numbers.  

Step 2: Ensure the number is even to check for divisibility by 2. Here, 396 is even, so it passes this test.  

Step 3: Sum the digits of 396 (3 + 9 + 6 = 18) and check divisibility by 3. Since 18 is divisible by 3, 396 passes this test.  

Step 4: To check divisibility by 11, alternate sum the digits: (3 - 9 + 6 = 0). Since 0 is divisible by 11, 396 passes this test.  

Step 5: Since 396 is divisible by 2, 3, and 11, it is also divisible by 198.

Learning the divisibility rule can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 198.  

• Know the factors of 198: Memorize the factors 2, 3, and 11 to quickly check divisibility. If a number is divisible by all these factors, it is divisible by 198.  

• Use the sum of digits for 3: Adding the digits to check divisibility by 3 is a quick method.  

• Use the alternating sum for 11: For 11, alternate the sum and difference of digits.  

• Repeat the process for large numbers: Students should continue checking divisibility by 2, 3, and 11 for larger numbers.  

• Use the division method to verify: Students can use division to cross-check and verify their results, ensuring they learn the process thoroughly.

• Divisibility Rule: A set of rules to determine if one number is divisible by another without division.  

• Factors: Numbers that are multiplied to get another number. For 198, the factors are 2, 3, and 11.  

• Even Number: A number divisible by 2.  

• Sum of Digits: The sum obtained by adding all the digits of a number, used for divisibility by 3.  

• Alternating Sum: The sum of alternating digits (subtract and add) used for divisibility by 11.