Divisibility Rule of 281

The divisibility rule for 281 is a method by which we can determine if a number is divisible by 281 without using the division method. Check whether 562 is divisible by 281 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 562, 2 is the last digit, multiply it by 2. 2 × 2 = 4  

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 56 - 4 = 52.

Step 3: Since 52 is not a multiple of 281, the number is not divisible by 281. If the result from step 2 isn't a multiple of 281, then the number isn't divisible by 281.

Learning the divisibility rule will help students master division. Let’s learn a few tips and tricks for the divisibility rule of 281.

• Know the multiples of 281: Memorize the multiples of 281 (281, 562, 843, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 281, then the number is divisible by 281.
• 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 281. For example: Check if 843 is divisible by 281 using the divisibility test. Multiply the last digit by 2, i.e., 3 × 2 = 6. Subtract the remaining digits excluding the last digit by 6, 84 - 6 = 78. 78 is not divisible by 281, hence 843 is not divisible by 281.
   
• 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 verify and also learn.
   

• Divisibility rule: A set of rules used to determine whether a number is divisible by another number without actual division.
   
• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 281 are 281, 562, 843, etc.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: The process of finding the difference between two numbers by reducing one from another.
   
• Verification: The process of confirming the accuracy of a result, often using another method like division.