200 LearnersLast updated on May 26th, 2025
Divisibility Rule of 692
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 692.
What is the Divisibility Rule of 692?
The divisibility rule for 692 is a method by which we can find out if a number is divisible by 692 or not without using the division method. Check whether 1384 is divisible by 692 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2. Here in 1384, 4 is the last digit, so multiply it by 2. 4 × 2 = 8.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 138–8 = 130.
Step 3: As it is shown that 130 is not a multiple of 692, therefore, the number is not divisible by 692. If the result from step 2 is a multiple of 692, then the number is divisible by 692.
Tips and Tricks for Divisibility Rule of 692
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 692.
- Know the multiples of 692: Memorize the multiples of 692 (692, 1384, 2076, 2768, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 692, then the number is divisible by 692.
- Use 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 692.
For example: Check if 4156 is divisible by 692 using the divisibility test. Multiply the last digit by 2, i.e., 6 × 2 = 12.
Subtract the remaining digits excluding the last digit by 12, 415–12 = 403. As 403 is not a multiple of 692, 4156 is not divisible by 692.
- 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 692
The divisibility rule of 692 helps us to quickly check if the given number is divisible by 692, 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, which are multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 692.
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 got a large number to result in after subtraction. The process should be repeated until we get the smallest number that is divisible by 692.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to the negative values. 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 the steps. To avoid the error, students should practice regularly.
Divisibility Rule of 692 Examples
Problem 1
Is 2768 divisible by 692?
Yes, 2768 is divisible by 692.
Explanation
To determine if 2768 is divisible by 692, we can use the divisibility rule:
1) Start by noting that 692 is a factor of 2768.
2) Divide 2768 by 692 directly.
3) 2768 ÷ 692 = 4. Since the result is a whole number, 2768 is divisible by 692.
Problem 2
Check the divisibility rule of 692 for 1384.
Yes, 1384 is divisible by 692.
Explanation
To check the divisibility of 1384 by 692:
1) Divide 1384 by 692.
2) 1384 ÷ 692 = 2. The quotient is a whole number, indicating that 1384 is divisible by 692.
Problem 3
Is -2076 divisible by 692?
Yes, -2076 is divisible by 692.
Explanation
To verify if -2076 is divisible by 692:
1) Ignore the negative sign and check the positive value, 2076.
2) Divide 2076 by 692.
3) 2076 ÷ 692 = 3. Since the result is a whole number, -2076 is divisible by 692.
Problem 4
Can 1500 be divisible by 692 following the divisibility rule?
No, 1500 isn't divisible by 692.
Explanation
To determine if 1500 is divisible by 692:
1) Divide 1500 by 692.
2) 1500 ÷ 692 ≈ 2.167. The result is not a whole number, so 1500 is not divisible by 692.
Problem 5
Check the divisibility rule of 692 for 4140.
Yes, 4140 is divisible by 692.
Explanation
To verify the divisibility of 4140 by 692:
1) Divide 4140 by 692.
2) 4140 ÷ 692 = 6. The quotient is a whole number, confirming that 4140 is divisible by 692.
FAQs on Divisibility Rule of 692
1.What is the divisibility rule for 692?
2.How many numbers are there between 1 and 5000 that are divisible by 692?
3.Is 2076 divisible by 692?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 692 apply to all the integers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 692?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 692 with numbers?
8.What role do numbers and Divisibility Rule of 692 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Divisibility Rule of 692 skills?
Important Glossaries for Divisibility Rule of 692
- 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 even numbers.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 692 are 692, 1384, 2076, etc.
- Integers: Integers are the numbers that include all the 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.
- Verification: The process of confirming the accuracy of a computation or result, often using an alternative method like actual division.
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About BrightChamps in Philippines
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.
