Divisibility Rule of 194

The divisibility rule for 194 is a method by which we can find out if a number is divisible by 194 or not without using the division method. Check whether 388 is divisible by 194 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2. Here in 388, 8 is the last digit, multiply it by 2. 8 × 2 = 16.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 38 - 16 = 22.

Step 3: As it is shown that 22 is not a multiple of 194, the number is not divisible by 194. If the result from step 2 is a multiple of 194, then the number is divisible by 194.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 194.

• Know the multiples of 194:  

Memorize the multiples of 194 (194, 388, 582, 776…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 194, then the number is divisible by 194.

• 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 194.  

For example, check if 3888 is divisible by 194 using the divisibility test.  

Multiply the last digit by 2, i.e., 8 × 2 = 16.  

Subtract the remaining digits excluding the last digit by 16, 388 - 16 = 372.  

Still, 372 is a large number, hence we will repeat the process again and multiply the last digit by 2, 2 × 2 = 4.  

Now subtracting 4 from the remaining numbers excluding the last digit, 37 - 4 = 33.  

As 33 is not a multiple of 194, 3888 is not divisible by 194.

• 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 194 are 194, 388, 582, 776, etc.

• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.

• Integer: An integer is a number that includes all whole numbers, negative numbers, and zero.

• Verification: The process of confirming that a calculation or result is accurate, often by using a different method.