213 LearnersLast updated on May 26th, 2025
Divisibility Rule of 698
The divisibility rule is a way to determine 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 698.
What is the Divisibility Rule of 698?
The divisibility rule for 698 is a method by which we can find out if a number is divisible by 698 without using the division method. Check whether 1396 is divisible by 698 using the divisibility rule.
Step 1: Separate the number into two parts: the last three digits and the remaining digits. For 1396, the last three digits are 396.
Step 2: Multiply the last three digits by 2. So, 396 × 2 = 792.
Step 3: Subtract the result from Step 2 from the remaining digits. Here, 1 - 792 = -791.
Step 4: Check if the result is a multiple of 698 or zero. If it is, the number is divisible by 698. In this case, -791 is not a multiple of 698, so 1396 is not divisible by 698.
Tips and Tricks for Divisibility Rule of 698
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 698.
- Know the multiples of 698: Memorize the multiples of 698 to quickly check divisibility. If the result from the subtraction is a multiple of 698 or zero, the number is divisible by 698.
- Use the absolute value: If the result we get after the subtraction is negative, we will consider its absolute value to check 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 easier to verify against 698.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 698
The divisibility rule of 698 helps us quickly check if a given number is divisible by 698, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes to avoid.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: multiplying the last three digits by 2, subtracting the result from the remaining digits, and checking whether it is a multiple of 698.
Mistake 2
Including the last three digits in subtraction.
Students should exclude the last three digits in the subtraction and include only the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after getting a large number from subtraction. The process should be repeated until reaching a manageable value.
Mistake 4
Not considering the absolute value.
Students need to consider the absolute value when the result is negative, as the divisibility rule applies to both positive and negative numbers.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Divisibility Rule of 698 Examples
Problem 1
Is 2094 divisible by 698?
Yes, 2094 is divisible by 698.
Explanation
To check if 2094 is divisible by 698, we can perform the division directly. 2094 ÷ 698 = 3, which is an integer. Therefore, 2094 is divisible by 698.
Problem 2
Check the divisibility rule of 698 for 3490.
No, 3490 is not divisible by 698.
Explanation
We divide 3490 by 698 to see if the result is an integer. 3490 ÷ 698 ≈ 5.002865, which is not an integer. Therefore, 3490 is not divisible by 698.
Problem 3
Is -1396 divisible by 698?
Yes, -1396 is divisible by 698.
Explanation
To check if -1396 is divisible by 698, we ignore the negative sign and check the absolute value. 1396 ÷ 698 = 2, which is an integer. Therefore, -1396 is divisible by 698.
Problem 4
Can 278 be divisible by 698 following the divisibility rule?
No, 278 isn't divisible by 698.
Explanation
To check if 278 is divisible by 698, we perform the division. 278 ÷ 698 ≈ 0.398281, which is not an integer. Therefore, 278 is not divisible by 698.
Problem 5
Check the divisibility rule of 698 for 2788.
Yes, 2788 is divisible by 698.
Explanation
To check the divisibility of 2788 by 698, we divide: 2788 ÷ 698 = 4, which is an integer. Therefore, 2788 is divisible by 698.
FAQs on Divisibility Rule of 698
1.What is the divisibility rule for 698?
2.How many numbers between 1 and 1000 are divisible by 698?
3.Is 2094 divisible by 698?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 698 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 698?
7.What are some fun ways kids in United States can practice Divisibility Rule of 698 with numbers?
8.What role do numbers and Divisibility Rule of 698 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 698 skills?
Important Glossaries for Divisibility Rule of 698
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number.
- Multiples: Results obtained when a number is multiplied by an integer. For example, multiples of 698 are 698, 1396, 2094, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Absolute value: The non-negative value of a number without regard to its sign.
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About BrightChamps in United States
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.
