Divisibility Rule of 139

The divisibility rule for 139 is a method by which we can find out if a number is divisible by 139 or not without using the division method. Check whether 5561 is divisible by 139 with the divisibility rule.
 

Step 1: Multiply the last digit of the number by 4, here in 5561, 1 is the last digit, so multiply it by 4. 1 × 4 = 4
 

Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 556–4 = 552.

Step 3: As it is shown that 552 is not a multiple of 139, therefore, the number is not divisible by 139. If the result from step 2 is a multiple of 139, then the number is divisible by 139.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 139.
 

• Know the multiples of 139: Memorize the multiples of 139 (139, 278, 417, 556, 695...etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 139, then the number is divisible by 139.
   
• Use the 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 139.
  
  For example: Check if 16768 is divisible by 139 using the divisibility test. Multiply the last digit by 4, i.e., 8 × 4 = 32.
  
  Subtract the remaining digits excluding the last digit by 32, 1676–32 = 1644. Still, 1644 is a large number, hence we will repeat the process again and multiply the last digit by 4, 4 × 4 = 16.
  
  Now subtracting 16 from the remaining numbers excluding the last digit, 164–16 = 148. As 148 is a multiple of 139, 16768 is divisible by 139.
   
• 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 139 if it follows the specific steps mentioned in the rule.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 139 are 139, 278, 417, 556, 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: The process of confirming if a number is divisible by another by rechecking or using an alternative method like division.