Divisibility Rule of 678

The divisibility rule for 678 is a method by which we can find out if a number is divisible by 678 or not without using the division method.

Check whether 2034 is divisible by 678 with the divisibility rule.  

Step 1: Check if 2034 is divisible by 2. Since the last digit is 4, which is even, 2034 is divisible by 2.  

Step 2: Check if the sum of the digits (2 + 0 + 3 + 4 = 9) is divisible by 3. Since 9 is divisible by 3, 2034 is divisible by 3.  

Step 3: Check if the number ends in 0, which would make it divisible by 10. Since it doesn't, 2034 is not divisible by 10, and hence not divisible by 678.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 678. 

• Know the multiples of 678: Memorize the multiples of 678 (678, 1356, 2034...etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 678, then the number is divisible by 678.

• Use the divisibility rule for 2, 3, and 10: Since 678 is a composite number, it helps to check divisibility by 2, 3, and 10 first. A number must be divisible by all these to be divisible by 678.

• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 678.
   
  For example, check if 2034 is divisible by 678 using the divisibility test. Since it fails the divisibility by 10, it is not divisible by 678.

• 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 find out whether a number is divisible by another number or not.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 678 are 678, 1356, 2034...

• Composite number: A composite number is a positive integer that has at least one positive divisor other than one or itself.

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

• Verification: The process of confirming the accuracy of a calculation or rule by using an alternative method, such as division.