Divisibility Rule of 763

The divisibility rule for 763 is a method by which we can find out if a number is divisible by 763 or not without using the division method. Let's check whether 1526 is divisible by 763 using the divisibility rule.
 

Step 1: Multiply the last digit of the number by 2, here in 1526, 6 is the last digit. Multiply it by 2. 6 × 2 = 12.
 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 152 - 12 = 140.

Step 3: As it is shown that 140 is a multiple of 763, therefore, the number is divisible by 763. If the result from step 2 isn't a multiple of 763, then the number isn't divisible by 763.
 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 763.

• Know the multiples of 763: Memorize the multiples of 763 (763, 1526, 2289, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 763, then the number is divisible by 763.
   
• Use 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 763.
  
  For example: Check if 22890 is divisible by 763 using the divisibility test.  
  
  Multiply the last digit by 2, i.e., 0 × 2 = 0.  
  
  Subtract the remaining digits excluding the last digit from 0, 2289 - 0 = 2289.  
  
  Still, 2289 is a large number, hence we will repeat the process again and multiply the last digit by 2, 9 × 2 = 18.  
  
  Now subtract 18 from the remaining numbers excluding the last digit, 228 - 18 = 210.  
  
  As 210 is not a multiple of 763, 22890 is not divisible by 763.
   
• 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. For example, a number is divisible by 2 if the number ends with even numbers.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 763 are 763, 1526, 2289, etc.
   
• Integers: Integers are numbers that include all 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 correctness of a calculation, often using a different method such as division to ensure accuracy.