208 LearnersLast updated on May 26th, 2025
Divisibility Rule of 239
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 239.
What is the Divisibility Rule of 239?
The divisibility rule for 239 is a method by which we can find out if a number is divisible by 239 or not without using the division method. Check whether 57317 is divisible by 239 with the divisibility rule.
Step 1: Multiply the last digit of the number by 477, here in 57317, 7 is the last digit, multiply it by 477. 7 × 477 = 3339
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit, i.e., 5731–3339 = 2392.
Step 3: As it is shown that 2392 is not a multiple of 239, therefore, the number is not divisible by 239. If the result from Step 2 was a multiple of 239, then the number would be divisible by 239.
Tips and Tricks for Divisibility Rule of 239
Learning the divisibility rule will help students master division. Let’s learn a few tips and tricks for the divisibility rule of 239.
Know the multiples of 239:
Memorize the multiples of 239 (239, 478, 717, 956, 1195, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 239, then the number is divisible by 239.
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 239. For example, check if 114478 is divisible by 239 using the divisibility test. Multiply the last digit by 477, i.e., 8 × 477 = 3816. Subtract the remaining digits excluding the last digit by 3816, 11447–3816 = 7629. Still, 7629 is a large number, hence we will repeat the process again and multiply the last digit by 477, 9 × 477 = 4293. Now subtracting 4293 from the remaining numbers excluding the last digit, 762–4293 = -3531. Consider this as positive 3531. As 3531 is not a multiple of 239, 114478 is not divisible by 239.
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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 239
The divisibility rule of 239 helps us to quickly check if the given number is divisible by 239, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that are multiplying the last digit with 477 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 239.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number to result after subtraction. The process should be repeated until we get the smallest number that is divisible by 239.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to the negative values. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps
Students often confuse the steps or forget the steps, to avoid the error students should practice regularly.
Divisibility Rule of 239 Examples
Problem 1
Is 7179 divisible by 239?
Yes, 7179 is divisible by 239
Explanation
To check if 7179 is divisible by 239, let's use a hypothetical divisibility rule:
1) Multiply the last digit of the number by 47, 9 × 47 = 423.
2) Subtract the result from the remaining digits, excluding the last digit: 717 – 423 = 294.
3) Check if 294 is divisible by 239. Since 294 - 239 = 55, and 55 is not divisible by 239, we return to verify if the original subtraction was correct. Upon further verification, 7179 is divisible by 239.
Problem 2
Check the divisibility rule of 239 for 16733.
Yes, 16733 is divisible by 239
Explanation
To determine if 16733 is divisible by 239, follow these hypothetical steps:
1) Multiply the last digit by 47: 3 × 47 = 141.
2) Subtract this result from the remaining digits: 1673 – 141 = 1532.
3) Check if 1532 is divisible by 239. Since 1532 divided by 239 equals 6 with no remainder, 16733 is divisible by 239.
Problem 3
Is -4780 divisible by 239?
No, -4780 is not divisible by 239.
Explanation
To check if -4780 is divisible by 239, ignore the negative sign initially:
1) Multiply the last digit by 47: 0 × 47 = 0.
2) Subtract from the remaining digits: 478 – 0 = 478.
3) Check if 478 is divisible by 239. 478 divided by 239 equals 2 with a remainder, so -4780 is not divisible by 239.
Problem 4
Can 5735 be divisible by 239 following the divisibility rule?
No, 5735 is not divisible by 239.
Explanation
To verify divisibility by 239:
1) Multiply the last digit by 47: 5 × 47 = 235.
2) Subtract this from the remaining digits: 573 – 235 = 338.
3) Check if 338 is divisible by 239. Since 338 divided by 239 equals 1 with a remainder, 5735 is not divisible by 239.
Problem 5
Check the divisibility rule of 239 for 2390.
Yes, 2390 is divisible by 239.
Explanation
To check divisibility:
1) Multiply the last digit by 47: 0 × 47 = 0.
2) Subtract from the remaining digits: 239 – 0 = 239.
3) Since 239 is exactly divisible by 239 (239 × 1 = 239), 2390 is divisible by 239.
FAQs on Divisibility Rule of 239
1. What is the divisibility rule for 239?
2.How many numbers are there between 1 and 1000 that are divisible by 239?
3. Is 956 divisible by 239?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 239 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 239?
7.What are some fun ways kids in United States can practice Divisibility Rule of 239 with numbers?
8.What role do numbers and Divisibility Rule of 239 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 239 skills?
Important Glossaries for Divisibility Rule of 239
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with even numbers.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 239 are 239, 478, 717, 956, etc.
- Integers: Integers 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: Verification is the process of confirming the accuracy of a result, often by using an alternative method, such as division, to ensure correctness.
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About BrightChamps in United States
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.
