Divisibility Rule of 242

The divisibility rule for 242 is a method by which we can find out if a number is divisible by 242 without using the division method. Let’s check whether 484 is divisible by 242 using the divisibility rule.

Step 1: Check if the number is divisible by 2, 11, and 11. Since 242 is 2 × 11 × 11, a number must be divisible by each of these factors to be divisible by 242.

Step 2: For divisibility by 2, the last digit must be even. In 484, the last digit is 4, which is even.

Step 3: For divisibility by 11, calculate the alternating sum and difference of the digits. For 484, (4 - 8 + 4) = 0, which is a multiple of 11.

Step 4: Repeat Step 3 for the second factor 11, using the same calculation from Step 3, (4 - 8 + 4) = 0, which confirms divisibility by 11 again.

Since 484 meets all conditions, it is divisible by 242.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 242.

Know the multiples of 242:

Memorize the multiples of 242 (242, 484, 726, etc.) to quickly check divisibility.

Check divisibility by 2, 11, and 11 separately:

A number is divisible by 242 only if it is divisible by 2, 11, and 11.

Repeat the process for large numbers:

For larger numbers, verify divisibility by each factor (2, 11, 11) separately.

Use the division method to verify:

Students can use the division method to verify and cross-check their results. This helps them to verify and learn.
 

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number.

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 242 are 242, 484, 726, etc.

• Alternating sum: The sum and difference of digits in alternating sequence used to test divisibility by 11.

• Factors: Numbers that are multiplied together to get another number. For 242, the factors are 2 and 11.

• Even number: A number divisible by 2, having 0, 2, 4, 6, or 8 as the last digit.