188 LearnersLast updated on May 26th, 2025
Divisibility Rule of 695
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 695.
What is the Divisibility Rule of 695?
The divisibility rule for 695 is a method by which we can find out if a number is divisible by 695 or not without using the division method. Check whether 2780 is divisible by 695 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 2780, 0 is the last digit. Multiply it by 2. 0 × 2 = 0.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 278–0 = 278.
Step 3: Since 278 is not a multiple of 695, the number is not divisible by 695. If the result from Step 2 is a multiple of 695, then the number is divisible by 695.
Tips and Tricks for Divisibility Rule of 695
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 695.
- Know the multiples of 695: Memorize the multiples of 695 (695, 1390, 2085, 2780, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 695, then the number is divisible by 695.
- 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 695.
For example, check if 1390 is divisible by 695 using the divisibility test. Multiply the last digit by 2, i.e., 0 × 2 = 0.
Subtract the remaining digits excluding the last digit by 0, 139–0 = 139.
Since 139 is not a multiple of 695, repeat the process. Since 1390 is a multiple of 695, 1390 is divisible by 695.
- Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 695
The divisibility rule of 695 helps us to quickly check if the given number is divisible by 695, 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 by 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 695.
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 as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 695.
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 695 Examples
Problem 1
Is 3475 divisible by 695?
No, 3475 is not divisible by 695.
Explanation
To determine divisibility by 695, we can utilize a divisibility rule approach. Let's assume a simplified hypothetical rule for illustration:
1) Consider the last three digits, 475.
2) Verify if rearranging any part of the number can sum or form a multiple of 695 directly.
3) Since there's no straightforward manipulation or sum that results in 695, 3475 is not divisible by 695.
Problem 2
Can 6950 be divisible by 695?
Yes, 6950 is divisible by 695.
Explanation
Evaluate the number 6950 using a divisibility rule:
1) Identify the last three digits, 950.
2) Check if subtracting or manipulating yields the base number.
3) 6950 divided by 695 results in a whole number, 10, confirming divisibility.
Problem 3
Determine if 1390 is divisible by 695.
No, 1390 is not divisible by 695.
Explanation
To check the divisibility:
1) Focus on the last three digits, 390.
2) Attempt to find a combination or adjustment that results in 695 as a factor.
3) Since 1390 divided by 695 does not result in a whole number, it is not divisible.
Problem 4
Is -13900 divisible by 695?
Yes, -13900 is divisible by 695.
Explanation
Remove the negative sign and evaluate:
1) Last three digits are 900.
2) 13900 divided by 695 gives a whole number, -20, thus confirming divisibility.
Problem 5
Verify divisibility of 2780 by 695.
No, 2780 is not divisible by 695.
Explanation
For the divisibility check:
1) Take the last three digits, 780.
2) Attempt any method or calculation that results in multiples of 695.
3) As 2780 divided by 695 does not yield a whole number, it is not divisible.
FAQs on Divisibility Rule of 695
1.What is the divisibility rule for 695?
2.How many numbers are there between 1 and 7000 that are divisible by 695?
3.Is 695 divisible by 695?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 695 apply to all the integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 695?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 695 with numbers?
8.What role do numbers and Divisibility Rule of 695 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 695 skills?
Important Glossaries for Divisibility Rule of 695
- 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 695 are 695, 1390, 2085, 2780, 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: Verification is the process of confirming the accuracy of a result, often using an alternative method like division to ensure correctness.
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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.
