Divisibility Rule of 654

The divisibility rule for 654 is a method by which we can find out if a number is divisible by 654 without using the division method.

Check whether 1962 is divisible by 654 with the divisibility rule.  

Step 1: Check if the number is divisible by 2 (the last digit should be even). Since 1962 ends in 2, it is divisible by 2.

Step 2: Check if the number is divisible by 3 (the sum of the digits must be divisible by 3). The sum of the digits in 1962 is 1+9+6+2=18, which is divisible by 3.

Step 3: Check if the number is divisible by 109 (a more complex process involving long division for verification). Since 1962 divided by 109 equals 18, it is divisible by 109.

Since 1962 satisfies all conditions for divisibility by 654, it is divisible by 654.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 654. 

• Know the factors: Understand the factors of 654 (2, 3, and 109) to quickly check divisibility. Each factor must divide the number without leaving a remainder.
   
• Use small checks: Break down the divisibility into smaller checks using factors like 2 and 3, which are easier to verify.
   
• Repeat for larger factors: For larger factors like 109, use long division to verify divisibility, especially if the number is large.
   
• Verify with division: Use the division method as a way to verify and cross-check the results. This helps to confirm and reinforce understanding.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number. For example, a number is divisible by 2 if the number ends with an even digit.
   
• Factors: Numbers that divide another number without leaving a remainder. For example, factors of 654 include 2, 3, and 109.
   
• Even number: A number that is divisible by 2, such as 4, 6, 8, etc.
   
• Sum of digits: The total obtained by adding all the digits of a number. Used to determine divisibility by 3.
   
• Long division: A method used to divide larger numbers to verify divisibility, especially when dealing with larger factors like 109.