102 LearnersLast updated on May 26th, 2025
Divisibility Rule of 249
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 249.
What is the Divisibility Rule of 249?
The divisibility rule for 249 is a method by which we can find out if a number is divisible by 249 or not without using the division method.
Check whether 747 is divisible by 249 with the divisibility rule.
Step 1: Break down 249 into its factors: 249 = 3 × 83.
Step 2: Check divisibility by 3: Add up all the digits of the number. If the sum is divisible by 3, proceed to the next step. For 747, 7 + 4 + 7 = 18, which is divisible by 3.
Step 3: Check divisibility by 83: Divide the number by 83 and check for a whole number. 747 ÷ 83 = 9, which is a whole number.
Step 4: Since 747 is divisible by both 3 and 83, it is divisible by 249.
Tips and Tricks for Divisibility Rule of 249
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 249.
Know the multiples of 249:
Memorize some multiples of 249 (249, 498, 747, etc.) to quickly check the divisibility.
Use divisibility rules of factors:
Utilize the divisibility rules for the factors of 249 (3 and 83) to simplify the process.
Repeat the process for larger numbers:
Students should keep applying the divisibility process by breaking down the number into smaller parts or checking factors.
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 confirm their findings and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 249
The divisibility rule of 249 helps us quickly check if the given number is divisible by 249, but common mistakes like calculation errors lead to incorrect results. Here, we will understand some common mistakes that will help you avoid errors.
Mistake 1
Not checking divisibility by both 3 and 83.
Always ensure the number is divisible by both 3 and 83 to confirm divisibility by 249.
Divisibility Rule of 249 Examples
Problem 1
Is 498 divisible by 249?
Yes, 498 is divisible by 249.
Explanation
To determine if 498 is divisible by 249, we can use a direct division approach since 249 is a larger divisor. Dividing 498 by 249 results in 498 ÷ 249 = 2, with no remainder. Thus, 498 is divisible by 249.
Problem 2
Check the divisibility rule of 249 for 747.
Yes, 747 is divisible by 249.
Explanation
To check if 747 is divisible by 249, divide 747 by 249. Calculating 747 ÷ 249 gives 3, with no remainder. Therefore, 747 is divisible by 249.
Problem 3
Is 996 divisible by 249?
Yes, 996 is divisible by 249.
Explanation
To verify if 996 is divisible by 249, we perform the division 996 ÷ 249. The result is 4, with no remainder. Hence, 996 is divisible by 249.
Problem 4
Can 250 be divisible by 249 following the divisibility rule?
No, 250 is not divisible by 249.
Explanation
To check if 250 is divisible by 249, divide 250 by 249. The division 250 ÷ 249 results in approximately 1.004, with a remainder. Therefore, 250 is not divisible by 249.
Problem 5
Check the divisibility rule of 249 for 1245.
No, 1245 is not divisible by 249.
Explanation
To determine if 1245 is divisible by 249, divide 1245 by 249. The division 1245 ÷ 249 gives approximately 5.000, but with a remainder. Thus, 1245 is not divisible by 249.
FAQs on Divisibility Rule of 249
1.What is the divisibility rule for 249?
2.How many numbers are there between 1 and 1000 that are divisible by 249?
3.Is 498 divisible by 249?
4.What if I get a remainder after division by 83?
5.Does the divisibility rule of 249 apply to all integers?
6.How can children in United Arab Emirates use numbers in everyday life to understand Divisibility Rule of 249?
7.What are some fun ways kids in United Arab Emirates can practice Divisibility Rule of 249 with numbers?
8.What role do numbers and Divisibility Rule of 249 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Divisibility Rule of 249 skills?
Important Glossaries for Divisibility Rule of 249
- 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 an even number.
- Factors: Factors are numbers that divide a given number exactly without leaving any remainder. For example, the factors of 249 are 3 and 83.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 249 are 249, 498, 747, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Division: Division is the process of dividing a number into equal parts or groups. It is one of the four basic operations in arithmetic.
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About BrightChamps in United Arab Emirates
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.
