188 LearnersLast updated on May 26th, 2025
Divisibility Rule of 699
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 699.
What is the Divisibility Rule of 699?
The divisibility rule for 699 is a method by which we can find out if a number is divisible by 699 or not without using the division method. Check whether 2097 is divisible by 699 with the divisibility rule.
Step 1: Triple the last digit of the number. Here in 2097, 7 is the last digit, so multiply it by 3. 7 × 3 = 21.
Step 2: Add the result from Step 1 to the remaining part of the number without the last digit. That is, 209 + 21 = 230.
Step 3: If the result from Step 2 is divisible by 699, then the original number is also divisible by 699. In this case, 230 is not divisible by 699, so 2097 is not divisible by 699.
Tips and Tricks for Divisibility Rule of 699
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 699.
Know the multiples of 699:
Memorize the multiples of 699 (e.g., 699, 1398, 2097, etc.) to quickly check divisibility. If the result from the addition is a multiple of 699, then the number is divisible by 699.
Use the negative numbers:
If the result we get after the addition 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 699. For example, check if 4893 is divisible by 699 using the divisibility test. Triple the last digit, 3 × 3 = 9. Add 9 to the remaining digits excluding the last digit, 489 + 9 = 498. Since 498 is smaller but still not divisible by 699, repeat the process. Triple the last digit, 8 × 3 = 24. Add 24 to 49, 49 + 24 = 73. 73 is still not divisible by 699, so 4893 is not divisible by 699.
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 699
The divisibility rule of 699 helps us to quickly check if the given number is divisible by 699, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that are multiplying the last digit by 3 and then adding the result to the remaining digits excluding the last digit, and checking whether it is a multiple of 699.
Mistake 2
Including the last digit in addition.
Students should keep in mind that they should exclude the last digit while adding 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 addition. The process should be repeated until we get a number that is divisible by 699.
Mistake 4
Not considering the negative values
Students might ignore negative values thinking divisibility rules don't apply to negative numbers. But 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 the steps or forget them. To avoid this error, students should practice regularly.
Divisibility Rule of 699 Examples
Problem 1
Is 2097 divisible by 699?
Yes, 2097 is divisible by 699.
Explanation
To check if 2097 is divisible by 699, we analyze:
1) Divide 2097 by 699, resulting in exactly 3 with no remainder.
2) This means 2097 is exactly divisible by 699.
Problem 2
Check the divisibility rule of 699 for 4194.
Yes, 4194 is divisible by 699.
Explanation
To verify the divisibility of 4194 by 699:
1) Divide 4194 by 699, yielding a quotient of 6 with no remainder.
2) Thus, 4194 is divisible by 699.
Problem 3
Is 350 not divisible by 699?
Yes, 350 is not divisible by 699.
Explanation
To check if 350 is divisible by 699:
1) Divide 350 by 699, resulting in a fraction or a quotient less than 1.
2) Since 350 is less than 699 and does not result in a whole number quotient, it is not divisible by 699.
Problem 4
Can 1398 be divisible by 699 following the divisibility rule?
Yes, 1398 is divisible by 699.
Explanation
To confirm if 1398 is divisible by 699:
1) Divide 1398 by 699, which yields a quotient of 2 with no remainder.
2) Therefore, 1398 is divisible by 699.
Problem 5
Check the divisibility rule of 699 for 6291.
Yes, 6291 is divisible by 699.
Explanation
To determine if 6291 is divisible by 699:
1) Divide 6291 by 699, resulting in a quotient of 9 with no remainder.
2) Hence, 6291 is divisible by 699.
FAQs on Divisibility Rule of 699
1.What is the divisibility rule for 699?
2.How many numbers are there between 1 and 5000 that are divisible by 699?
3.Is 1398 divisible by 699?
4.What if I get 0 after adding?
5.Does the divisibility rule of 699 apply to all the integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 699?
7.What are some fun ways kids in India can practice Divisibility Rule of 699 with numbers?
8.What role do numbers and Divisibility Rule of 699 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 699 skills?
Important Glossaries for Divisibility Rule of 699
- 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.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 699 are 699, 1398, 2097, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Addition: Addition is a process of combining two numbers to get a sum.
- Verification: The process of using an alternative method, such as division, to confirm the results obtained through a rule or test.
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About BrightChamps in India
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.
