Divisibility Rule of 667

The divisibility rule for 667 is a method by which we can find out if a number is divisible by 667 or not without using the division method. Check whether 2001 is divisible by 667 with the divisibility rule.

Step 1: Divide the number into groups of three digits from the right. For 2001, we have groups: 001 and 2.

Step 2: Subtract the group 667 times the integer part of the division of the left group by 667 from the right group. Here, 001 - (667 × 0) = 1.

Step 3: As the result is not zero or 667, 2001 is not divisible by 667.

Learning the divisibility rule will help learners master division. Let’s learn a few tips and tricks for the divisibility rule of 667.

• Know the multiples of 667: Memorize the multiples of 667 (667, 1334, 2001, 2668, etc.) to quickly check the divisibility. If the result from the subtraction is either zero or a multiple of 667, then the number is divisible by 667.
   
• Use the negative numbers: If the result we get after the subtraction is negative, consider its absolute value when checking divisibility.
   
• Repeat the process for large numbers: Continue the divisibility process until reaching a small number that can be easily checked against 667. For example: Check if 5334 is divisible by 667 using the divisibility test. Divide 5334 into groups of three digits: 334 and 5. Subtract 334 - (667 × 0) = 334, which is not zero or 667. Hence, 5334 is not divisible by 667.
   
• Use the division method to verify: Learners can use the division method as a way to verify and crosscheck their results. This helps in verification and learning.

• Divisibility rule: Guidelines to determine if a number is divisible by another number without actual division.
   
• Multiples: The results obtained by multiplying a number by integers. For example, multiples of 667 are 667, 1334, 2001, etc.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Subtraction: Finding the difference between two numbers by deducting one from another.
   
• Absolute value: The non-negative value of a number without regard to its sign.