Divisibility Rule of 668

The divisibility rule for 668 is a method by which we can find out if a number is divisible by 668 or not without using the division method. Check whether 2004 is divisible by 668 with the divisibility rule.

Step 1: Divide the number into groups of three digits from the right. Here, in 2004, we have the groups: 2 and 004.

Step 2: Subtract the last group from the previous group(s). i.e., 2 - 004 = -2.

Step 3: As it is shown that -2 is not a multiple of 668, the number is not divisible by 668. If the result from step 2 is a multiple of 668, then the number is divisible by 668.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 668.

• Know the multiples of 668: Memorize the multiples of 668 (668, 1336, 2004, 2672, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 668, then the number is divisible by 668.
   
• Use the negative numbers: If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 668. For example, check if 2672 is divisible by 668 using the divisibility test. Divide into groups of three digits: 2 and 672. Subtract the last group from the previous group(s): 2 - 672 = -670. Still, -670 is a large number, hence we will repeat the process again and consider it positive without the negative sign. Subtract 668 from 670: 670 - 668 = 2. As 2 is not a multiple of 668, 2672 is not divisible by 668.
   
• 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 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 668 are 668, 1336, 2004, 2672, etc.
   
• Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
   
• Grouping: The process of dividing a number into smaller segments for the purpose of applying a divisibility rule.