Divisibility Rule of 101

The divisibility rule for 101 is a method by which we can find out if a number is divisible by 101 or not without using the division method. Check whether 5050 is divisible by 101 with the divisibility rule.

Step 1: Separate the number into two parts: the last two digits and the rest of the number. In 5050, the last two digits are 50, and the rest is 50.

Step 2: Subtract the last two digits from the rest of the number. i.e., 50 - 50 = 0.

Step 3: If the result is 0 or a multiple of 101, then the original number is divisible by 101. Since 0 is a multiple of 101, 5050 is divisible by 101.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 101.

• Know the multiples of 101: Memorize the multiples of 101 (101, 202, 303, 404…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 101, then the number is divisible by 101.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 101. For example: Check if 10201 is divisible by 101 using the divisibility test. Separate the number into two parts, 01 and 102. Subtract the last two digits from the rest, 102 - 01 = 101. As 101 is a multiple of 101, 10201 is divisible by 101.
   
• 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 2 if the number ends with even numbers.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 101 are 101, 202, 303, 404, etc.
   
• Integers: Integers are the numbers that include all 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: Verification is the process of checking the correctness of a result by using different methods, such as division, to crosscheck the outcome.