Divisibility Rule of 361

The divisibility rule for 361 is a method by which we can find out if a number is divisible by 361 or not without using the division method. Check whether 1083 is divisible by 361 with the divisibility rule.
 

Step 1: Divide the number into groups of three digits from right to left. Here, 1083 becomes 1 and 083.
 

Step 2: Calculate the difference between the first group and the second group. 1 - 83 = -82.
 

Step 3: Check if the result is divisible by 361. Since -82 is not divisible by 361, 1083 is not divisible by 361.
 

Learning the divisibility rule can help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 361.
 

• Know the multiples of 361: Memorize the multiples of 361 (361, 722, 1083, etc.) to quickly check divisibility. If the difference calculated is a multiple of 361, then the number is divisible by 361.
   
• Use absolute values: If the result we get after the subtraction is negative, we will ignore the negative sign and consider it as positive for checking the divisibility.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a smaller number that is divisible by 361.
   
• 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.
   
• Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 361 are 361, 722, 1083, 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.
   
• Absolute value: The non-negative value of a number without regard to its sign.