Divisibility Rule of 648

The divisibility rule for 648 is a method by which we can find out if a number is divisible by 648 without using the division method. Check whether 7776 is divisible by 648 with the divisibility rule.

Step 1: Check if the number is divisible by 8. For 7776, the last three digits are 776, which is divisible by 8 (since 776 ÷ 8 = 97).

Step 2: Check if the number is divisible by 81. Sum the digits of 7776: 7+7+7+6 = 27, which is divisible by 9 (since 27 ÷ 9 = 3). Since 81 is a power of 9, repeat the process: 2+7 = 9, which is divisible by 9.

Step 3: Since 7776 is divisible by both 8 and 81, it is divisible by 648.

Understanding the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 648.

• Know the multiples of 648: Memorize the multiples of 648 (648, 1296, 1944…etc.) to quickly check divisibility. If the result from the checks is a multiple of 648, then the number is divisible by 648.

• Use smaller checks: Break down the divisibility into smaller checks like checking for 8 and 81 separately, which are factors of 648.

• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is clearly divisible by 648. For example, check if 12960 is divisible by 648.
  
  Check divisibility by 8: The last three digits, 960, are divisible by 8 (960 ÷ 8 = 120).
  
  Check divisibility by 81: The sum of the digits, 1+2+9+6+0 = 18, which is divisible by 9.
  
  Since 12960 is divisible by both 8 and 81, it is divisible by 648.

• Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to confirm and also learn.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 3 if the sum of its digits is divisible by 3.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 648 are 648, 1296, 1944, etc.

• Factors: Numbers that can be multiplied together to get another number. For example, 8 and 81 are factors of 648.

• Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.

• Subtraction: Subtraction is a process of finding the difference between two numbers by reducing one number from another.