Divisibility Rule of 587

The divisibility rule for 587 is a method by which we can find out if a number is divisible by 587 or not without using the division method.

Check whether 1174 is divisible by 587 with the divisibility rule.  

Step 1: Divide the number into two parts, the last three digits and the remaining number. Here in 1174, the last three digits are 174, and the remaining number is 1.

Step 2: Check if 1 is divisible by 587. Since 1 is less than 587, it cannot be divisible by 587.

Step 3: Since the remaining number isn't divisible by 587, 1174 is not divisible by 587.

Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 587.

• Know the multiples of 587: Memorize the multiples of 587 (587, 1174, 1761, 2348, etc.) to quickly check the divisibility. If the remaining part of the number is a multiple of 587, then the number is divisible by 587.
   
• Use modular arithmetic:  You can use modular arithmetic for large numbers. If a number modulo 587 equals 0, then the number is divisible by 587.
   
• Verify with division:  Use the division method to verify your results. This will help you confirm and also learn.

• Divisibility rule: A set of rules used to determine if one number can be exactly divided by another without performing the division operation.
   
• Multiples: Results obtained when a number is multiplied by an integer. For example, multiples of 587 are 587, 1174, 1761, etc.
   
• Modular arithmetic: A system of arithmetic for integers, where numbers wrap around upon reaching a certain value—the modulus.
   
• Remainder: The amount left over after division where one number does not divide the other exactly.
   
• Integer: A whole number that can be positive, negative, or zero.