Divisibility Rule of 771

The divisibility rule for 771 is a method to check if a number is divisible by 771 without performing division. Let's check whether 1542 is divisible by 771 using this rule.
 

Step 1: Multiply the last digit of the number by 2. In 1542, 2 is the last digit. Multiply it by 2. 2 × 2 = 4
 

Step 2: Subtract the result from Step 1 from the remaining digits, but do not include the last digit. i.e., 154 - 4 = 150.
 

Step 3: If the result is a multiple of 771, then the number is divisible by 771. If the result is not a multiple of 771, then the number is not divisible by 771.
 

Learning the divisibility rule helps kids master division. Here are some tips and tricks for the divisibility rule of 771.

• Know the multiples of 771:
  Memorize the multiples of 771 (771, 1542, 2313, 3084, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 771, then the number is divisible by 771.
   
• Use negative numbers:
  If the result after subtraction is negative, ignore the sign and consider it positive for checking divisibility.
   
• Repeat the process for large numbers:
  Repeat the divisibility process until reaching a small number that is divisible by 771.
  
  For example, check if 3084 is divisible by 771 using the divisibility test. Multiply the last digit by 2, i.e., 4 × 2 = 8.
  
  Subtract 8 from the remaining digits, excluding the last one, 308 - 8 = 300. Repeat the process: 0 × 2 = 0, 30 - 0 = 30. 30 is not a multiple of 771, so 3084 is not divisible by 771.
   
• Use the division method to verify:
  Use the division method to verify and crosscheck results, reinforcing learning.

• Divisibility rule: A set of rules to determine if a number is divisible by another number without direct division.
   
• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 771 are 771, 1542, 2313, etc.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: The process of finding the difference between two numbers by reducing one number from another.
   
• Verification: The process of confirming the correctness of a result, often by using an alternative method such as division.