Divisibility Rule of 298

The divisibility rule for 298 is a method by which we can find out if a number is divisible by 298 or not without using the division method. Check whether 596 is divisible by 298 with the divisibility rule.

Step 1: Find the difference between the number and twice the last three digits. Here in 596, the last three digits are 596. 2 × 596 = 1192.

Step 2: Subtract the result from Step 1 from the original number, i.e., 596 - 1192 = -596.

Step 3: As it is shown that -596 is a multiple of 298 (since 298 × -2 = -596), therefore, the number is divisible by 298. If the result from step 2 isn't a multiple of 298, then the number isn't divisible by 298.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 298.

Know the multiples of 298:

Memorize the multiples of 298 (298, 596, 894, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 298, then the number is divisible by 298.

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 298. For example, check if 894 is divisible by 298 using the divisibility test. The difference between 894 and twice the last three digits, 894, is 894 - 2 × 894 = 0. As 0 is a multiple of 298, 894 is divisible by 298.

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 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.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 298 are 298, 596, 894, etc.
   
• Integers: Integers are numbers that include all the 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 confirming the accuracy of a result using a different method, such as division.