183 LearnersLast updated on May 26th, 2025
Divisibility Rule of 658
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 658.
What is the Divisibility Rule of 658?
The divisibility rule for 658 is a method by which we can find out if a number is divisible by 658 or not without using the division method.
Check whether 1974 is divisible by 658 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2. Here in 1974, 4 is the last digit, 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., 197–8 = 189.
Step 3: As it is shown that 189 is not a multiple of 658, therefore, the number is not divisible by 658. If the result from Step 2 is a multiple of 658, then the number is divisible by 658.
Tips and Tricks for Divisibility Rule of 658
Knowing the divisibility rule helps kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 658.
- Know the multiples of 658: Memorize the multiples of 658 (658, 1316, 1974, 2632, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 658, then the number is divisible by 658.
- 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 658.
For example: Check if 5926 is divisible by 658 using the divisibility test.
Multiply the last digit by 2, i.e., 6 × 2 = 12. Subtract 12 from the remaining digits excluding the last digit, 592–12 = 580.
Still, 580 is a large number, hence we will repeat the process again and multiply the last digit by 2, 0 × 2 = 0.
Now subtracting 0 from the remaining numbers excluding the last digit, 58–0 = 58.
Since 58 is not a multiple of 658, 5926 is not divisible by 658.
- Use the division method to verify: tudents 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 658
The divisibility rule of 658 helps us to quickly check if the given number is divisible by 658, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
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 digits, and checking whether it is a multiple of 658.
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 get a large number as a result after subtraction. The process should be repeated until we get the smallest number that can be checked for divisibility by 658.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to 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 errors, students should practice regularly.
Divisibility Rule of 658 Examples
Problem 1
Is 1974 divisible by 658?
Yes, 1974 is divisible by 658.
Explanation
To check the divisibility by 658:
1) Divide 1974 by 658, resulting in 3.
2) Since 1974 divided by 658 equals exactly 3 with no remainder, 1974 is divisible by 658.
Problem 2
Check the divisibility rule of 658 for 2632.
No, 2632 is not divisible by 658.
Explanation
For checking divisibility by 658:
1) Divide 2632 by 658, resulting in approximately 4.
2) Since 2632 divided by 658 does not result in a whole number and has a remainder, 2632 is not divisible by 658.
Problem 3
Is -1316 divisible by 658?
Yes, -1316 is divisible by 658.
Explanation
To check if -1316 is divisible by 658:
1) Ignore the negative sign and divide 1316 by 658, which equals 2.
2) Since 1316 divided by 658 is exactly 2 with no remainder, -1316 is divisible by 658.
Problem 4
Can 3290 be divisible by 658 following the divisibility rule?
No, 3290 isn't divisible by 658.
Explanation
To check if 3290 is divisible by 658:
1) Divide 3290 by 658, resulting in approximately 5.
2) Since 3290 divided by 658 does not result in a whole number and has a remainder, 3290 is not divisible by 658.
Problem 5
Check the divisibility rule of 658 for 5264.
Yes, 5264 is divisible by 658.
Explanation
To check the divisibility by 658:
1) Divide 5264 by 658, resulting in exactly 8.
2) Since 5264 divided by 658 equals exactly 8 with no remainder, 5264 is divisible by 658.
FAQs on Divisibility Rule of 658
1.What is the divisibility rule for 658?
2.How many numbers are there between 1 and 1000 that are divisible by 658?
3.Is 1316 divisible by 658?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 658 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 658?
7.What are some fun ways kids in United States can practice Divisibility Rule of 658 with numbers?
8.What role do numbers and Divisibility Rule of 658 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 658 skills?
Important Glossaries for Divisibility Rule of 658
- 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 658 are 658, 1316, 1974, 2632, etc.
- Integers: Integers are numbers that include all 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 result using a different method, such as the division method, to ensure accuracy.
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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.
