Divisibility Rule of 684

The divisibility rule for 684 is a method by which we can find out if a number is divisible by 684 or not without using the division method. Check whether 548,352 is divisible by 684 with the divisibility rule.

Step 1: Break the number into smaller components and check divisibility for each, such as checking divisibility by 2, 3, and 114 (since 684 = 2 × 3 × 114).
 

Step 2: Check for divisibility by 2: The last digit of 548,352 is 2, which is even, so it's divisible by 2.
 

Step 3: Check for divisibility by 3: Add the digits of 548,352 (5+4+8+3+5+2 = 27). Since 27 is divisible by 3, the number is divisible by 3.
 

Step 4: Check for divisibility by 114: This step requires ensuring the number is divisible by 114. You can check 548,352 ÷ 114 to see if the result is an integer.
 

Step 5: If the number is divisible by 2, 3, and 114, then it is divisible by 684.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 684.
 

• Know the components of 684: Understand that 684 is the product of 2, 3, and 114. This helps break down the problem.
   
• Use divisibility rules for smaller numbers: Apply the basic divisibility rules for 2 and 3 to narrow down the possibilities.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process for each component until they reach a conclusion.
   
• 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: The set of rules used to determine whether a number is divisible by another number without direct division.
   
• Components: Parts of a number used to simplify divisibility checks, such as 2, 3, and 114 for 684.
   
• Integers: Whole numbers, including positive, negative numbers, and zero.
   
• Subtraction: The process of finding the difference between two quantities.
   
• Multiples: The results obtained by multiplying a number by integers. For example, multiples of 684 include 684, 1,368, 2,052, etc.