Divisibility Rule of 653

The divisibility rule for 653 is a method by which we can find out if a number is divisible by 653 or not without using the division method. Check whether 6530 is divisible by 653 using the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 6530, 0 is the last digit. Multiply it by 2. 0 × 2 = 0

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 653 - 0 = 653.

Step 3: As it is shown that 653 is the exact number we are testing for divisibility, the number is divisible by 653. If the result from step 2 isn't the number itself or a multiple of it, then the number isn't divisible by 653.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 653.

• Know the multiples of 653: Memorize the multiples of 653 (653, 1306, 1959, 2612, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 653, then the number is divisible by 653.
   
• Use the negative numbers: If the result we get after the subtraction is negative, we will ignore 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 653. For example, check if 6530 is divisible by 653 using the divisibility test. Multiply the last digit by 2, i.e., 0 × 2 = 0. Subtract the remaining digits excluding the last digit by 0, 653 - 0 = 653. As 653 is the number we are testing for, 6530 is divisible by 653.
   
• 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. For example, a number is divisible by 653 if it follows the steps outlined in the rule.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 653 are 653, 1306, 1959, etc.
   
• Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
   
• Verification: The process of confirming the accuracy of a mathematical operation, such as using division to confirm a result obtained using a divisibility rule.