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137 LearnersLast updated on February 18th, 2025
Divisibility Rule of 949
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 949.
What is the Divisibility Rule of 949?
The divisibility rule for 949 is a method by which we can find out if a number is divisible by 949 or not without using the division method. Check whether 2847 is divisible by 949 with the divisibility rule.
Step 1: Take the last three digits of the number, here in 2847, 847 is the last three digits.
Step 2: Subtract 847 from the remaining digits. Since there are no digits left, it results in 0.
Step 3: If the result is 0 or a multiple of 949, then the number is divisible by 949. In this case, since there are no remaining digits, 2847 is not divisible by 949.
Tips and Tricks for Divisibility Rule of 949
Learning the divisibility rule will help you master division. Let’s learn a few tips and tricks for the divisibility rule of 949.
Know the multiples of 949:
Memorize the multiples of 949 (949, 1898, 2847... etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 949, then the number is divisible by 949.
Repeat the process for large numbers:
You should keep repeating the divisibility process until you reach a small number that is divisible by 949.
For example, check if 5694 is divisible by 949 using the divisibility test.
Take the last three digits, 694, and subtract from the remaining number, 5. Since 5 is not a multiple of 949, 5694 is not divisible by 949.
Use the division method to verify:
You can use the division method as a way to verify and crosscheck your results. This will help you verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 949
The divisibility rule of 949 helps us quickly check if the given number is divisible by 949, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Follow the correct steps by taking the last three digits and subtracting them from the remaining digits. Check whether the result is a multiple of 949.
Divisibility Rule of 949 Examples
Problem 1
Is 2847 divisible by 949?
Yes, 2847 is divisible by 949.
Explanation
To determine if 2847 is divisible by 949, follow these steps:
1) Notice that 2847 is exactly 3 times 949 (949 x 3 = 2847).
2) Therefore, 2847 is divisible by 949.
Problem 2
Check the divisibility rule of 949 for 1898.
No, 1898 is not divisible by 949.
Explanation
To check the divisibility rule of 949 for 1898:
1) Since 1898 is smaller than twice 949, check if it's a multiple of 949.
2) Divide 1898 by 949, which results in approximately 2.000.
3) Since 1898 is not exactly 2 times 949, it is not divisible by 949.
Problem 3
Is -2847 divisible by 949?
Yes, -2847 is divisible by 949.
Explanation
To check if -2847 is divisible by 949, remove the negative sign and check the divisibility:
1) 2847 is exactly 3 times 949 (949 x 3 = 2847).
2) Therefore, -2847 is divisible by 949.
Problem 4
Can 316 be divisible by 949 following the divisibility rule?
No, 316 is not divisible by 949.
Explanation
To check if 316 is divisible by 949:
1) Since 316 is smaller than 949, it cannot be divisible by 949.
2) Therefore, 316 is not divisible by 949.
Problem 5
Check the divisibility rule of 949 for 3796.
Yes, 3796 is divisible by 949.
Explanation
To check the divisibility rule of 949 for 3796:
1) Notice that 3796 is exactly 4 times 949 (949 x 4 = 3796).
2) Therefore, 3796 is divisible by 949.
FAQs on Divisibility Rule of 949
1.What is the divisibility rule for 949?
2.How can I quickly identify a number divisible by 949?
3.Is 1898 divisible by 949?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 949 apply to all integers?
Important Glossaries for Divisibility Rule of 949.
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 949 are 949, 1898, 2847, etc.
- Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
- Integer: Integers include all whole numbers, negative numbers, and zero.
- Verification: The process of confirming the result of a divisibility test using a different method, such as direct division.
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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.
