205 LearnersLast updated on May 26th, 2025
Divisibility Rule of 220
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 220.
What is the Divisibility Rule of 220?
The divisibility rule for 220 is a method by which we can determine if a number is divisible by 220 without using the division method. Check whether 4620 is divisible by 220 with the divisibility rule.
Step 1: Check if the number is divisible by both 4 and 55 (since 220 = 4 × 55), as a number must be divisible by both to be divisible by 220.
Step 2: To check for divisibility by 4, look at the last two digits of the number. If they form a number divisible by 4, then the number is divisible by 4. For 4620, the last two digits are 20, which is divisible by 4.
Step 3: To check for divisibility by 55, the number must be divisible by both 5 and 11. For divisibility by 5, the number should end in 0 or 5. 4620 ends in 0, so it is divisible by 5.
Step 4: For divisibility by 11, take the alternating sum and difference of its digits. For 4620: (4 - 6 + 2 - 0 = 0), which is divisible by 11.
Since 4620 satisfies the conditions for divisibility by both 4 and 55, it is divisible by 220.
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Tips and Tricks for Divisibility Rule of 220
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 220.
Know the factors of 220:
Memorize the factors of 220 (1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220) to quickly check the divisibility.
Use the rules for 4 and 55:
Check divisibility by 4 and 55 separately to determine divisibility by 220.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a conclusive result.
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 verify their understanding.
Common Mistakes and How to Avoid Them in Divisibility Rule of 220
The divisibility rule of 220 helps us quickly check if a given number is divisible by 220, but common mistakes like calculation errors can lead to incorrect conclusions. Here, we will understand some common mistakes and how to avoid them
Mistake 1
Not checking divisibility by both 4 and 55.
Students should ensure they check divisibility by both 4 and 55, as both conditions must be met.
Mistake 2
Misapplying the divisibility rule for 11.
Carefully apply the alternating sum and difference rule for checking divisibility by 11.
Mistake 3
Ignoring the need to check for divisibility by 5.
Remember that for 55, divisibility by 5 is necessary, which means the number should end in 0 or 5.
Mistake 4
Confusing the conditions for divisibility.
Practice regularly to memorize the correct steps and conditions for checking divisibility by 220.
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Divisibility Rule of 220 Examples
Problem 1
Can 660 be divided evenly by 220?
Yes, 660 is divisible by 220.
Explanation
To check the divisibility of 660 by 220, we can divide 660 by 220 directly.
1) Divide 660 by 220, which results in 3.
2) Since 3 is an integer, 660 is divisible by 220 without any remainder.
Problem 2
Is 440 divisible by 220?
Yes, 440 is divisible by 220.
Explanation
To determine if 440 is divisible by 220, we can perform the division.
1) Divide 440 by 220, which results in 2.
2) Since the quotient is an integer, 440 is divisible by 220 without any remainder.
Problem 3
Check if 1980 can be divided evenly by 220.
Yes, 1980 is divisible by 220.
Explanation
To verify divisibility of 1980 by 220, follow these steps:
1) Divide 1980 by 220, which results in 9.
2) Since the quotient is an integer, 1980 is divisible by 220 without any remainder.
Problem 4
Is 1540 divisible by 220?
No, 1540 is not divisible by 220.
Explanation
To check divisibility, perform the division:
1) Divide 1540 by 220, which results in approximately 7.
2) Since the quotient is not an integer, 1540 is not divisible by 220 without a remainder.
Problem 5
Can 2200 be divided evenly by 220?
Yes, 2200 is divisible by 220.
Explanation
To confirm divisibility, we can divide directly:
1) Divide 2200 by 220, which results in 10.
2) Since the quotient is an integer, 2200 is divisible by 220 without any remainder.
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FAQs on Divisibility Rule of 220
1.What is the divisibility rule for 220?
2.How many numbers are there between 1 and 1000 that are divisible by 220?
3.Is 550 divisible by 220?
4.What if I get 0 after applying the rules?
5.Does the divisibility rule of 220 apply to all integers?
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Important Glossaries for Divisibility Rule of 220
- Divisibility Rule: A set of guidelines used to determine if one number can be exactly divided by another without performing division.
- Factors: Numbers that divide another number completely without leaving a remainder. For example, factors of 220 include 1, 2, 4, 5, and so on.
- Alternating Sum and Difference: A method for checking divisibility by 11, involving the sum and difference of alternating digits.
- Multiples: Results obtained by multiplying a number by integers. For example, multiples of 220 are 220, 440, 660, etc.
- Verification: The process of confirming the accuracy of a result, often by using a different method like actual division.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
