Divisibility Rule of 591

The divisibility rule for 591 is a method by which we can find out if a number is divisible by 591 or not without using the division method. Check whether 1182 is divisible by 591 with the divisibility rule.
 

Step 1: Divide the number into groups of three digits from right to left. If the number of digits is not a multiple of 3, add leading zeros to make it so. For 1182, divide it as 001 and 182.
 

Step 2: Take the difference between the numbers formed by these groups. Here, 182 - 001 = 181.
 

Step 3: If the result is a multiple of 591 or zero, then the original number is divisible by 591. Since 181 is not a multiple of 591, 1182 is not divisible by 591.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 591.
 

• Know the multiples of 591: Memorize the multiples of 591 (591, 1182, 1773, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 591, then the number is divisible by 591.
   
• Use the negative numbers: If the result we get after the subtraction is negative, 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 591. 
  
  For example: Check if 3546 is divisible by 591 using the divisibility test.
  
  Divide into groups of three digits: 003 and 546.
  
  Subtract: 546 - 003 = 543.
  
  Since 543 is not a multiple of 591, 3546 is not divisible by 591.
   
• 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 verify and also learn.
   

• Divisibility rule: A set of rules used to determine if a number is divisible by another number without using division.
   
• Multiples: Results from multiplying a number by an integer. For example, multiples of 591 are 591, 1182, 1773, 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.
   
• Leading zeros: Zeros added to the left of a number to make it a certain length without changing its value.