169 LearnersLast updated on May 26th, 2025
Divisibility Rule of 218
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 218.
What is the 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.
Struggling with Math?
Get 1:1 Coaching to Boost Grades Fast !
Tips and Tricks for Divisibility Rule of 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 218
The divisibility rule of 218 helps us to quickly check if the given number is divisible by 218, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps
Students should follow the correct steps, dividing the number into two parts, doubling the remaining part, and then subtracting the result from the three-digit part, checking whether it is a multiple of 218.
Mistake 2
Including the last three digits incorrectly.
Students should keep in mind that they should correctly identify the three-digit part while subtracting and include all the remaining digits in the other part.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 218.
Mistake 4
Not considering the negative values
Students consider the negative values thinking divisibility rules don't apply to negative values. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps. To avoid the error, students should practice regularly.
Struggling with Math?
Get 1:1 Coaching to Boost Grades Fast !
Divisibility Rule of 218 Examples
Problem 1
Is 436 divisible by 218?
Yes, 436 is divisible by 218.
Explanation
To determine if 436 is divisible by 218, let's follow a logical approach.
1) Divide 436 by 218 to see if the quotient is a whole number.
2) 436 ÷ 218 = 2.
3) The quotient is a whole number, so 436 is divisible by 218.
Problem 2
Check the divisibility rule of 218 for 654.
No, 654 is not divisible by 218.
Explanation
To check if 654 is divisible by 218:
1) Divide 654 by 218 to check for a whole number quotient.
2) 654 ÷ 218 = 3 (with a remainder).
3) Since the division does not result in a whole number, 654 is not divisible by 218.
Problem 3
Is 872 divisible by 218?
Yes, 872 is divisible by 218.
Explanation
We verify the divisibility by performing a division:
1) Divide 872 by 218.
2) 872 ÷ 218 = 4.
3) The quotient is a whole number, indicating that 872 is divisible by 218.
Problem 4
Can 1000 be divisible by 218 following the divisibility rule?
No, 1000 isn't divisible by 218.
Explanation
To determine if 1000 is divisible by 218:
1) Perform the division 1000 ÷ 218.
2) The result is a quotient of 4 with a remainder.
3) Since there is a remainder, 1000 is not divisible by 218.
Problem 5
Check the divisibility rule of 218 for 1744.
Yes, 1744 is divisible by 218.
Explanation
To verify this, we divide 1744 by 218:
1) Calculate 1744 ÷ 218.
2) The result is a quotient of 8 with no remainder.
3) Since the division results in a whole number, 1744 is divisible by 218.
Struggling with Math?
Get 1:1 Coaching to Boost Grades Fast !
FAQs on Divisibility Rule of 218
1.What is the divisibility rule for 218?
2. How many numbers are there between 1 and 1000 that are divisible by 218?
3. Is 436 divisible by 218?
4. What if I get 0 after subtracting?
5. Does the divisibility rule of 218 apply to all integers?
Struggling with Math?
Get 1:1 Coaching to Boost Grades Fast !
Important Glossaries for Divisibility Rule of 218
- 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.
Explore More numbers
Previous to Divisibility Rule of 218
