Divisibility Rule of 283

The divisibility rule for 283 is a method by which we can find out if a number is divisible by 283 or not without using the division method. Check whether 566 is divisible by 283 using the divisibility rule.

Step 1: Multiply the last digit of the number by 13, here in 566, 6 is the last digit, multiply it by 13. 6 × 13 = 78

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 56 - 78 = -22.

Step 3: If the result is a multiple of 283, then the number is divisible by 283. Since -22 is not a multiple of 283, 566 is not divisible by 283.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 283.

• Know the multiples of 283: Memorize the multiples of 283 (283, 566, 849, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 283, then the number is divisible by 283.
   
• 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 283. For example, check if 1132 is divisible by 283 using the divisibility test. Multiply the last digit by 13, i.e., 2 × 13 = 26. Subtract the remaining digits excluding the last digit, 113 - 26 = 87. Since 87 is not a multiple of 283, 1132 is not divisible by 283.
   
• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
   

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 283 are 283, 566, 849, etc.
   
• Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
   
• Verify: To check the accuracy of calculations or results, often by using a different method or approach.