The Divisibility Rule of 581

The divisibility rule for 581 is a method by which we can find out if a number is divisible by 581 or not without using the division method. Check whether 1162 is divisible by 581 using the divisibility rule.

Step 1: Double the last digit of the number, here in 1162, 2 is the last digit, double it. 2 × 2 = 4.

Step 2: Subtract the result from Step 1 from the remaining values, excluding the last digit. i.e., 116–4 = 112.

Step 3: Since 112 is not a multiple of 581, the number 1162 is not divisible by 581. If the result from Step 2 is a multiple of 581, then the number is divisible by 581.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 581.

• Know the multiples of 581: Memorize the multiples of 581 (581, 1162, 1743, ... etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 581, then the number is divisible by 581.
   
• 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 581.
  
   For example: Check if 3486 is divisible by 581 using the divisibility test.  
  
  Double the last digit, i.e., 6 × 2 = 12.  Subtract the remaining digits excluding the last digit by 12, 348–12 = 336.  
  
  Still, 336 is large, hence we will repeat the process again and double the last digit, 6 × 2 = 12.  
  
  Now subtracting 12 from the remaining numbers excluding the last digit, 33–12 = 21. 
  
  Since 21 is not a multiple of 581, 3486 is not divisible by 581.
   
• Use the division method to verify:  Students can use the division method to verify and cross-check their results. This will help them 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 we get after multiplying a number by an integer. For example, multiples of 581 are 581, 1162, 1743, 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.
   
• Double: Multiplying a number by 2.