Divisibility Rule of 107

The divisibility rule for 107 is a method by which we can find out if a number is divisible by 107 or not without using the division method. Check whether 3210 is divisible by 107 with the divisibility rule.

Step 1: Break down the number into groups of three digits starting from the right. In 3210, the groups are 3 and 210.

Step 2: Subtract the first group from the second group. i.e., 210 - 3 = 207.

Step 3: As it is shown that 207 is not a multiple of 107, therefore, the number is not divisible by 107. If the result from step 2 is a multiple of 107, then the number is divisible by 107.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 107.
 

• Know the multiples of 107: Memorize the multiples of 107 (107, 214, 321, 428… etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 107, then the number is divisible by 107.
   
• Use 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 107. For example: Check if 21407 is divisible by 107 using the divisibility test. Break into groups: 21 and 407. Subtract the first group from the second group: 407 - 21 = 386. Still, 386 is a large number, so we will repeat the process again: 38 and 6, 38 - 6 = 32. Since 32 is not a multiple of 107, 21407 is not divisible by 107.
   
• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.
   

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 107 are 107, 214, 321, 428, etc.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
   
• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
   
• Grouping: Grouping involves organizing numbers into sets or groups, such as dividing a number into groups of three digits.