Divisibility Rule of 422

The divisibility rule for 422 is a method by which we can find out if a number is divisible by 422 or not without using the division method. Check whether 844 is divisible by 422 with the divisibility rule.

Step 1: Divide the number into two equal parts. Here in 844, split it into 84 and 4.

Step 2: Check if the first part (84) can be evenly divided by 2. If not, the number is not divisible by 422. Since 84 ÷ 2 = 42, proceed.

Step 3: Check if the second part (4) is 22 or a multiple of 22. Since 4 is not, the number is not divisible by 422.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 422.

Know the multiples of 422:  

Memorize the multiples of 422 (422, 844, 1266, 1688…etc.) to quickly check the divisibility. If the number is a multiple of 422, then it is divisible by 422.

Use modular arithmetic:  

If you are familiar with modular arithmetic, you can use it to check divisibility by 422 more efficiently.

Repeat the process for large numbers:  

Students should keep repeating the divisibility process until they reach a small number that is divisible by 422. For example, check if 2110 is divisible by 422.

   - Split into 211 and 0.
   - Check if 211 ÷ 2 = 105.5, which is not an integer, so 2110 is not divisible by 422.

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 to confirm their findings and also learn.
 

• Divisibility Rule: A set of rules used to determine whether a number can be divided evenly by another number without performing the division.
   
• Multiples: The results obtained when a number is multiplied by an integer. For example, multiples of 422 are 422, 844, 1266, etc.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Modular Arithmetic: A system of arithmetic for integers, where numbers "wrap around" after reaching a certain value, known as the modulus.
   
• Division: The process of determining how many times one number is contained within another.