196 LearnersLast updated on May 26th, 2025
Divisibility Rule of 247
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 247.
What is the Divisibility Rule of 247?
The divisibility rule for 247 is a method by which we can find out if a number is divisible by 247 or not without using the division method. Check whether 494 is divisible by 247 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 494, 4 is the last digit, so multiply it by 2. 4 × 2 = 8.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 49 - 8 = 41.
Step 3: As it is shown that 41 is not a multiple of 247, therefore, the number is not divisible by 247. If the result from Step 2 were a multiple of 247, then the number would be divisible by 247.
Tips and Tricks for Divisibility Rule of 247
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 247.
1. Know the multiples of 247:
Memorize the multiples of 247 (247, 494, 741, 988, etc.) to quickly check for divisibility. If the result from the subtraction is a multiple of 247, then the number is divisible by 247.
2. Use the negative numbers:
If the result we get after the subtraction is negative, we will ignore the symbol and consider it as positive for checking the divisibility of a number.
3. Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 247. For example: Check if 988 is divisible by 247 using the divisibility test. Multiply the last digit by 2, i.e., 8 × 2 = 16. Subtract the remaining digits excluding the last digit by 16, 98 - 16 = 82. Since 82 is not a multiple of 247, 988 is not divisible by 247.
4. 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 247
The divisibility rule of 247 helps us quickly check if the given number is divisible by 247, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps of multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 247.
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 resulting from subtraction. The process should be repeated until we get the smallest number that is divisible by 247.
Mistake 4
Not considering the negative values.
Students should consider negative values as positive while checking for divisibility, as divisibility rules apply to negative values too.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid this error, students should practice regularly.
Divisibility Rule of 247 Examples
Problem 1
Is 741 divisible by 247?
Yes, 741 is divisible by 247.
Explanation
To determine if 741 is divisible by 247, we need to check if dividing 741 by 247 results in an integer.
1) Divide 741 by 247, which equals 3.
2) Since 3 is an integer, 741 is divisible by 247.
Problem 2
Check the divisibility rule of 247 for 494.
Yes, 494 is divisible by 247.
Explanation
To check if 494 is divisible by 247, follow the steps below:
1) Divide 494 by 247, which equals 2.
2) Since 2 is an integer, 494 is divisible by 247.
Problem 3
Is -988 divisible by 247?
Yes, -988 is divisible by 247.
Explanation
To determine if -988 is divisible by 247, remove the negative sign and perform the division.
1) Divide 988 by 247, which equals 4.
2) Since 4 is an integer, -988 is divisible by 247.
Problem 4
Can 369 be divisible by 247 using the divisibility rule?
No, 369 isn't divisible by 247.
Explanation
To check if 369 is divisible by 247, perform the division.
1) Divide 369 by 247, which equals approximately 1.49.
2) Since the result is not an integer, 369 is not divisible by 247.
Problem 5
Check the divisibility rule of 247 for 1235.
No, 1235 is not divisible by 247.
Explanation
To determine if 1235 is divisible by 247, divide the numbers.
1) Divide 1235 by 247, which equals approximately 5.
2) Since the result is not an integer, 1235 is not divisible by 247.
FAQs on Divisibility Rule of 247
1.What is the divisibility rule for 247?
2. How many numbers are there between 1 and 1000 that are divisible by 247?
3. Is 741 divisible by 247?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 247 apply to all the integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 247?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 247 with numbers?
8.What role do numbers and Divisibility Rule of 247 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 247 skills?
Important Glossaries for Divisibility Rule of 247
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not.
- Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 247 are 247, 494, 741, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: A process of finding out the difference between two numbers by reducing one number from another.
- Verification: The process of using additional methods, such as division, to confirm the results obtained from the divisibility rule.
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About BrightChamps in Australia
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.
