Divisibility Rule of 551

The divisibility rule for 551 is a method by which we can determine if a number is divisible by 551 without using the division method. Check whether 1102 is divisible by 551 with the divisibility rule.
 

Step 1: Multiply the last three digits of the number by 2. Here in 1102, 102 is the last three digits, so multiply it by 2: 102 × 2 = 204.
 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last three digits, i.e., 110 - 204 = -94.
 

Step 3: As -94 is not a multiple of 551, the number is not divisible by 551. If the result from Step 2 had been a multiple of 551, then the number would be divisible by 551.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 551.
 

• Know the multiples of 551: Memorize the multiples of 551 (551, 1102, 1653, 2204, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 551, then the number is divisible by 551.
   
• 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 551. 
  
  Example: Check if 2204 is divisible by 551 using the divisibility test. Multiply the last three digits by 2, i.e., 204 × 2 = 408.
  
  Subtract the remaining digits excluding the last three digits by 408, 2 - 408 = -406. Since -406 is not a multiple of 551, 2204 is not divisible by 551.
   
• 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: A set of rules used to find out whether a number is divisible by another number or not.
   
• Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 551 are 551, 1102, 1653, 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 checking results using the division method to ensure accuracy.