Divisibility Rule of 299

The divisibility rule for 299 is a method by which we can find out if a number is divisible by 299 or not without using the division method. Check whether 598 is divisible by 299 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 3, here in 598, 8 is the last digit, multiply it by 3. 8×3=24 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit, i.e., 59–24=35.

Step 3: If the result from step 2 is a multiple of 299, then the number is divisible by 299. If the result from step 2 isn't a multiple of 299, then the number isn't divisible by 299.

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 299.

Know the multiples of 299:  

Memorize the multiples of 299 (299, 598, 897, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 299, then the number is divisible by 299.

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 299.  
For example: Check if 5980 is divisible by 299 using the divisibility test.  

Multiply the last digit by 3, i.e., 0×3=0  

Subtract the remaining digits excluding the last digit by 0, 598–0=598  

As 598 is a multiple of 299, 5980 is divisible by 299.

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: A set of rules used to determine whether a number is divisible by another number without direct division.

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 299 are 299, 598, 897, etc.

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

• Integer: A number that includes all whole numbers, negative numbers, and zero.

• Verification: The process of confirming the accuracy of a result, often by using an alternate method such as direct division.