Divisibility Rule of 218

The divisibility rule for 218 is a method by which we can find out if a number is divisible by 218 or not without using the division method. Check whether 4360 is divisible by 218 with the divisibility rule.

Step 1: Divide the number into two parts such that the last three digits form one part, and the remaining digits form another. Here in 4360, the last three digits are 360, and the remaining number is 4.

Step 2: Double the remaining part and subtract it from the three-digit part. 2×4=8; 360–8=352.

Step 3: As it is shown that 352 is not a multiple of 218, the number is not divisible by 218. If the result from step 2 is a multiple of 218, then the number is divisible by 218.

Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 218.

Know the multiples of 218:

Memorize the multiples of 218 (218, 436, 654, 872, 1090…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 218, then the number is divisible by 218.

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 218. For example: Check if 8720 is divisible by 218 using the divisibility test. Divide the number into two parts, where the last three digits are 720, and the remaining number is 8. Double the remaining part, i.e., 2×8=16. Subtract 720–16=704. Still, 704 is a large number, hence we will repeat the process again. Divide it into two parts: 704 becomes 4 and 704. 2×4=8. Subtract 704–8=696. As 696 is a multiple of 218, 8720 is divisible by 218.

4. 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: A set of rules used to find out whether a number is divisible by another number or not. For instance, a number is divisible by 2 if the number ends with an even digit.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 218 are 218, 436, 654, etc.

• Integers: Integers are 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 that a calculation or result is correct, often by using a different method or approach, such as division.