Divisibility Rule of 767

The divisibility rule for 767 is a method by which we can find out if a number is divisible by 767 or not without using the division method. Check whether 7670 is divisible by 767 with the divisibility rule.
 

Step 1: Multiply the last three digits of the number by a specific multiplier, which in this case is 1. Here, in 7670, multiply 670 by 1. 670 × 1 = 670
 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last three digits. i.e., 7 - 670 = -663.
 

Step 3: Since -663 is not a multiple of 767, the number is not divisible by 767. If the result from step 2 is a multiple of 767, then the number is divisible by 767.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 767.
 

• Know the multiples of 767: Memorize the multiples of 767 (767, 1534, 2301...etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 767, then the number is divisible by 767.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 767.  
   
• 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 767 are 767, 1534, 2301, 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.
   
• Verification: The process of confirming the accuracy of a result, often by using a different method like division to check the initial outcome.