Divisibility Rule of 259

The divisibility rule for 259 is a method by which we can find out if a number is divisible by 259 or not without using the division method. Check whether 518 is divisible by 259 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 9; here in 518, 8 is the last digit, so multiply it by 9. 8 × 9 = 72  

Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 51 - 72 = -21.

 
Step 3: As -21 is not a multiple of 259, 518 is not divisible by 259. If the result from Step 2 is a multiple of 259, the number is divisible by 259.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 259. 

Know the multiples of 259:  

Memorize the multiples of 259 (259, 518, 777, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 259, then the number is divisible by 259. 

Use the negative numbers:  

If the result we get after 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 259.  
For example: Check if 1036 is divisible by 259 using the divisibility test.  
Multiply the last digit by 9, i.e., 6 × 9 = 54  
Subtract the remaining digits excluding the last digit by 54, 103 - 54 = 49  
Repeat the process: Multiply the last digit by 9, 9 × 9 = 81.  
Subtract 81 from the remaining numbers excluding the last digit, 4 - 81 = -77.  
As -77 is not a multiple of 259, 1036 is not divisible by 259.

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 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 259 are 259, 518, 777, 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: A method of confirming the correctness of the result, often by using an alternative approach, such as division, to ensure accuracy.