Divisibility Rule of 263

The divisibility rule for 263 is a method by which we can find out if a number is divisible by 263 or not without using the division method. Check whether 526 is divisible by 263 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 2, here in 526, 6 is the last digit; multiply it by 2. 6 × 2 = 12 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 52–12 = 40.

Step 3: Since 40 is not a multiple of 263, the number is not divisible by 263. If the result from step 2 were a multiple of 263, then the number would be divisible by 263.

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 263. 

Know the multiples of 263:  

Memorize the multiples of 263 (263, 526, 789, 1052…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 263, then the number is divisible by 263.

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 263.  
For example: Check if 1326 is divisible by 263 using the divisibility test.  
Multiply the last digit by 2, i.e., 6 × 2 = 12.  
Subtract the remaining digits excluding the last digit by 12, 132–12 = 120.  
Since 120 is not a multiple of 263, 1326 is not divisible by 263.

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 determine whether a number is divisible by another number. For example, a number is divisible by 263 if it follows the specific divisibility process for 263.

• Multiples: Multiples are the results obtained after multiplying a number by an integer. For example: multiples of 263 are 263, 526, 789, etc.

• Integers: Integers are numbers that include all 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.

• Verification: The process of using division or other methods to confirm that a calculation or result is accurate.