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130 LearnersLast updated on February 17th, 2025
Divisibility Rule of 259
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 259.
What is the 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.
Tips and Tricks for Divisibility Rule of 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 259
The divisibility rule of 259 helps us to quickly check if a given number is divisible by 259, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps of multiplying the last digit by 9 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 259.
Divisibility Rule of 259 Examples
Problem 1
Is 777 divisible by 259?
Yes, 777 is divisible by 259.
Explanation
To verify divisibility by 259, we can perform long division. Dividing 777 by 259 gives a quotient of 3 with no remainder, thus confirming that 777 is divisible by 259.
Problem 2
Check the divisibility rule of 259 for 1554.
Yes, 1554 is divisible by 259.
Explanation
Divide 1554 by 259. The quotient is 6, and there is no remainder, confirming that 1554 is divisible by 259.
Problem 3
Is 518 divisible by 259?
No, 518 is not divisible by 259.
Explanation
When we divide 518 by 259, the quotient is 2, but there is a remainder. This indicates that 518 is not divisible by 259.
Problem 4
Can 2331 be divisible by 259 following the divisibility rule?
Yes, 2331 is divisible by 259.
Explanation
Dividing 2331 by 259 gives a quotient of 9 with no remainder, indicating that 2331 is divisible by 259.
Problem 5
Check the divisibility rule of 259 for 1295.
No, 1295 is not divisible by 259.
Explanation
Performing the division of 1295 by 259 results in a quotient of 5 with a remainder. Therefore, 1295 is not divisible by 259.
FAQs on Divisibility Rule of 259
1.What is the divisibility rule for 259?
2.How many numbers are there between 1 and 1000 that are divisible by 259?
3.Is 777 divisible by 259?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 259 apply to all integers?
Important Glossaries for Divisibility Rule of 259
- 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.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
