215 LearnersLast updated on May 26th, 2025
Divisibility Rule of 299
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 299.
What is the Divisibility Rule of 299?
The divisibility rule for 299 is a method by which we can find out if a number is divisible by 299 or not without using the division method. Check whether 598 is divisible by 299 with the divisibility rule.
Step 1: Multiply the last digit of the number by 3, here in 598, 8 is the last digit, multiply it by 3. 8×3=24
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit, i.e., 59–24=35.
Step 3: If the result from step 2 is a multiple of 299, then the number is divisible by 299. If the result from step 2 isn't a multiple of 299, then the number isn't divisible by 299.
Tips and Tricks for Divisibility Rule of 299
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 299.
Know the multiples of 299:
Memorize the multiples of 299 (299, 598, 897, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 299, then the number is divisible by 299.
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 299.
For example: Check if 5980 is divisible by 299 using the divisibility test.
Multiply the last digit by 3, i.e., 0×3=0
Subtract the remaining digits excluding the last digit by 0, 598–0=598
As 598 is a multiple of 299, 5980 is divisible by 299.
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 299
The divisibility rule of 299 helps us to quickly check if a given number is divisible by 299, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which include multiplying the last digit by 3 and then subtracting the result from the remaining digits, excluding the last digit, and checking whether it is a multiple of 299.
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 as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 299.
Mistake 4
Not considering negative values.
Students may disregard negative results, thinking divisibility rules don't apply to them. 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 or forget the steps. To avoid this error, students should practice regularly.
Divisibility Rule of 299 Examples
Problem 1
Is 598 divisible by 299?
Yes, 598 is divisible by 299.
Explanation
To determine if 598 is divisible by 299, we use a simple check since 598 is exactly double 299:
1) Divide 598 by 299, which results in 2.
2) Since the quotient is an integer, 598 is divisible by 299.
Problem 2
Check the divisibility rule of 299 for 897.
No, 897 is not divisible by 299.
Explanation
To check if 897 is divisible by 299:
1) Divide 897 by 299, which results in approximately 3.
2) Since the quotient is not an integer, 897 is not divisible by 299.
Problem 3
Is -1495 divisible by 299?
Yes, -1495 is divisible by 299.
Explanation
To verify if -1495 is divisible by 299, we ignore the negative sign and check the positive counterpart:
1) Divide 1495 by 299, which results in 5.
2) Since the quotient is an integer, -1495 is divisible by 299.
Problem 4
Can 450 be divisible by 299 following the divisibility rule?
No, 450 isn't divisible by 299.
Explanation
To check if 450 is divisible by 299:
1) Divide 450 by 299, which results in approximately 1.505.
2) Since the quotient is not an integer, 450 is not divisible by 299.
Problem 5
Check the divisibility rule of 299 for 2990.
Yes, 2990 is divisible by 299.
Explanation
To check the divisibility of 2990 by 299:
1) Divide 2990 by 299, which results in 10.
2) Since the quotient is an integer, 2990 is divisible by 299.
FAQs on Divisibility Rule of 299
1.What is the divisibility rule for 299?
2. How many numbers are there between 1 and 1000 that are divisible by 299?
3. Is 598 divisible by 299?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 299 apply to all integers?
6.How can children in Indonesia use numbers in everyday life to understand Divisibility Rule of 299?
7.What are some fun ways kids in Indonesia can practice Divisibility Rule of 299 with numbers?
8.What role do numbers and Divisibility Rule of 299 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Divisibility Rule of 299 skills?
Important Glossaries for Divisibility Rule of 299
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number without direct division.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 299 are 299, 598, 897, etc.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Integer: A number that includes all whole numbers, negative numbers, and zero.
- Verification: The process of confirming the accuracy of a result, often by using an alternate method such as direct division.
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About BrightChamps in Indonesia
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.
