120 LearnersLast updated on May 26th, 2025
Divisibility Rule of 49
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 49.
What is the Divisibility Rule of 49?
The divisibility rule for 49 is a method by which we can find out if a number is divisible by 49 or not without using the division method.
Check whether 2450 is divisible by 49 with the divisibility rule.
Step 1: Split the number into pairs of digits from right to left. Here in 2450, split it into 24 and 50.
Step 2: Subtract twice the last pair from the remaining pairs. i.e., 24 - (2 × 50) = 24 - 100 = -76.
Step 3: If needed, continue the process with the absolute value of the result until you reach a small number. For instance, split -76 into 0 and 76, then calculate 0 - (2 × 76) = 0 - 152 = -152.
Step 4: Since -152 is not a multiple of 49, 2450 is not divisible by 49.
Tips and Tricks for Divisibility Rule of 49
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 49.
- Know the multiples of 49: Memorize the multiples of 49 (49, 98, 147, 196, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 49, then the number is divisible by 49.
- Use the absolute values: If the result we get after subtraction is negative, consider its absolute value for checking divisibility.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 49. For example, check if 4900 is divisible by 49 using the divisibility test. Split into 49 and 00, calculate 49 - (2 × 00) = 49. As 49 is a multiple of 49, 4900 is divisible by 49.
- 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 49
The divisibility rule of 49 helps us to quickly check if the given number is divisible by 49, 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 by splitting into pairs and subtracting twice the last pair from the remaining pairs.
Mistake 2
Including leftover numbers.
Ensure that you split the number correctly into pairs from right to left.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number after subtraction. The process should be repeated until we get the smallest number that is divisible by 49.
Mistake 4
Not considering the negative values.
Consider the absolute value of negative results when checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them, so regular practice is essential.
Divisibility Rule of 49 Examples
Problem 1
Is 343 divisible by 49?
Yes, 343 is divisible by 49.
Explanation
To verify this, divide 343 by 49. The quotient is 7, which is an integer, indicating that 343 is divisible by 49 (49 x 7 = 343).
Problem 2
Check the divisibility rule of 49 for 2450.
Yes, 2450 is divisible by 49.
Explanation
To check, divide 2450 by 49. The quotient is 50, which is an integer, so 2450 is divisible by 49 (49 x 50 = 2450).
Problem 3
Is -441 divisible by 49?
Yes, -441 is divisible by 49.
Explanation
For negative numbers, check divisibility using the positive equivalent. Divide 441 by 49. The quotient is 9, which is an integer, indicating that 441 is divisible by 49 (49 x 9 = 441). Therefore, -441 is also divisible by 49.
Problem 4
Can 500 be divisible by 49 following the divisibility rule?
No, 500 is not divisible by 49.
Explanation
When we divide 500 by 49, the quotient is approximately 10.204. Since the result is not an integer, 500 is not divisible by 49.
Problem 5
Check the divisibility rule of 49 for 980.
Yes, 980 is divisible by 49.
Explanation
Divide 980 by 49. The quotient is 20, which is an integer, indicating that 980 is divisible by 49 (49 x 20 = 980).
FAQs on Divisibility Rule of 49
1.What is the divisibility rule for 49?
2.How many numbers are there between 1 and 1000 that are divisible by 49?
3.Is 343 divisible by 49?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 49 apply to all integers?
6.How can children in Bahrain use numbers in everyday life to understand Divisibility Rule of 49?
7.What are some fun ways kids in Bahrain can practice Divisibility Rule of 49 with numbers?
8.What role do numbers and Divisibility Rule of 49 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Divisibility Rule of 49 skills?
Important Glossaries for Divisibility Rule of 49
- 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 49 if the rule's steps yield a multiple of 49.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 49 are 49, 98, 147, 196, 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.
- Absolute value: The non-negative value of a number without regard to its sign.
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About BrightChamps in Bahrain
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.
