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.
 

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.
 

• 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.