Divisibility Rule of 98

The divisibility rule for 98 is a method by which we can ascertain if a number is divisible by 98 without using traditional division. Check whether 1176 is divisible by 98 using the divisibility rule.
 

Step 1: Check if the number is divisible by both 2 and 49. A number is divisible by 98 if it is divisible by both of these numbers because 98=2×49.
 

Step 2: For divisibility by 2, the number should be even. Since 1176 ends in 6, it is an even number and thus divisible by 2.
 

Step 3: To check divisibility by 49, take the number's last two digits. Here, 76 is the last two digits. 76 is not divisible by 49.
 

Since 76 is not divisible by 49, 1176 is not divisible by 98.
 

Understanding the divisibility rule can help students master division. Let’s explore some tips and tricks for the divisibility rule of 98.

• Know the multiples of 98: Memorize the multiples of 98 (98, 196, 294, etc.) to quickly verify divisibility. If the result from the check is a multiple of 98, then the number is divisible by 98.
   
• Use the division method to verify: Students can use traditional division to verify and cross-check their results. This will help in verifying and learning.
   
• Repeat the process for large numbers: For larger numbers, keep applying the divisibility tests for 2 and 49 separately until you determine if it is divisible by both.
   

• Divisibility rule: The set of guidelines used to determine whether a number is divisible by another number without performing division.
   
• Multiple: A multiple is a product obtained by multiplying a number by an integer. For example, multiples of 98 are 98, 196, 294, etc.
   
• Even number: A number divisible by 2, such as 2, 4, 6, etc.
   
• Integer: Integers include all whole numbers, both positive and negative, as well as zero.
   
• Verification: The process of confirming the accuracy of a result through various methods, such as division.