197 LearnersLast updated on May 26th, 2025
Divisibility Rule of 694
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 694.
What is the Divisibility Rule of 694?
The divisibility rule for 694 is a method by which we can find out if a number is divisible by 694 or not without using the division method. Check whether 2082 is divisible by 694 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 2082, 2 is the last digit, multiply it by 2. 2 × 2 = 4.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 208–4 = 204.
Step 3: As it is shown that 204 is not a multiple of 694, the number is not divisible by 694. If the result from step 2 were a multiple of 694, then the number would be divisible by 694.
Tips and Tricks for Divisibility Rule of 694
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 694.
- Know the multiples of 694: Memorize the multiples of 694 (694, 1388, 2082, 2776, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 694, then the number is divisible by 694.
- 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 694.
For example, check if 5558 is divisible by 694 using the divisibility test. Multiply the last digit by 2, i.e., 8 × 2 = 16. Subtract the remaining digits excluding the last digit by 16, 555–16 = 539.
Since 539 is still a large number, repeat the process: multiply the last digit by 2, 9 × 2 = 18.
Subtract 18 from the remaining numbers excluding the last digit, 53–18 = 35. As 35 is not a multiple of 694, 5558 is not divisible by 694.
- 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 694
The divisibility rule of 694 helps us quickly check if a given number is divisible by 694, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: multiply the last digit by 2 and then subtract the result from the remaining digits excluding the last digit, checking whether it is a multiple of 694.
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 result after subtraction. The process should be repeated until we get the smallest number that may or may not be divisible by 694.
Mistake 4
Not considering negative values.
Students consider negative values thinking divisibility rules don't apply. 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 errors, students should practice regularly.
Divisibility Rule of 694 Examples
Problem 1
Is 2082 divisible by 694?
Yes, 2082 is divisible by 694.
Explanation
To check if 2082 is divisible by 694, we follow these steps:
1) Divide 2082 by 694 directly to check for divisibility.
2) 2082 ÷ 694 = 3.
3) The result is an integer, therefore 2082 is divisible by 694.
Problem 2
Can 4164 be evenly divided by 694?
Yes, 4164 is divisible by 694.
Explanation
To verify if 4164 is divisible by 694:
1) Perform the division 4164 ÷ 694.
2) The result is exactly 6.
3) Since the result is a whole number, 4164 is divisible by 694.
Problem 3
Is 1388 divisible by 694 following the rule?
Yes, 1388 is divisible by 694.
Explanation
To determine if 1388 is divisible by 694:
1) Calculate 1388 ÷ 694.
2) The quotient is 2.
3) Since the division results in a whole number, 1388 is divisible by 694.
Problem 4
Check whether 694 is divisible by itself.
Yes, 694 is divisible by itself.
Explanation
Any number is divisible by itself:
1) 694 ÷ 694 = 1.
2) The result is a whole number, confirming that 694 is divisible by itself.
Problem 5
Is 2776 divisible by 694?
Yes, 2776 is divisible by 694.
Explanation
To check divisibility of 2776 by 694:
1) Divide 2776 by 694.
2) The result is 4.
3) Since the quotient is an integer, 2776 is divisible by 694.
FAQs on Divisibility Rule of 694
1.What is the divisibility rule for 694?
2.How many numbers are there between 1 and 7000 that are divisible by 694?
3.Is 2082 divisible by 694?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 694 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 694?
7.What are some fun ways kids in India can practice Divisibility Rule of 694 with numbers?
8.What role do numbers and Divisibility Rule of 694 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 694 skills?
Important Glossaries for Divisibility Rule of 694
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 694 are 694, 1388, 2082, etc.
- Integers: Integers are 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 whether a calculation or result is accurate, often by using a different method such as division.
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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.
