186 LearnersLast updated on May 26th, 2025
Divisibility Rule of 653
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 653.
What is the Divisibility Rule of 653?
The divisibility rule for 653 is a method by which we can find out if a number is divisible by 653 or not without using the division method. Check whether 6530 is divisible by 653 using the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 6530, 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., 653 - 0 = 653.
Step 3: As it is shown that 653 is the exact number we are testing for divisibility, the number is divisible by 653. If the result from step 2 isn't the number itself or a multiple of it, then the number isn't divisible by 653.
Tips and Tricks for Divisibility Rule of 653
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 653.
- Know the multiples of 653: Memorize the multiples of 653 (653, 1306, 1959, 2612, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 653, then the number is divisible by 653.
- Use the negative numbers: If the result we get after the subtraction is negative, we will ignore 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 653. For example, check if 6530 is divisible by 653 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, 653 - 0 = 653. As 653 is the number we are testing for, 6530 is divisible by 653.
- 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 653
The divisibility rule of 653 helps us to quickly check if the given number is divisible by 653, 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 matches or is a multiple of 653.
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 after subtraction. The process should be repeated until we get a small number that is divisible by 653.
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 653 Examples
Problem 1
Is 1306 divisible by 653?
Yes, 1306 is divisible by 653.
Explanation
To determine if 1306 is divisible by 653, we can perform simple division. 1306 divided by 653 equals exactly 2, with no remainder. Therefore, 1306 is divisible by 653.
Problem 2
Check the divisibility rule of 653 for 2612.
Yes, 2612 is divisible by 653.
Explanation
For checking the divisibility of 2612 by 653, we divide 2612 by 653. The result is exactly 4, with no remainder, confirming that 2612 is divisible by 653.
Problem 3
Is -653 divisible by 653?
Yes, -653 is divisible by 653.
Explanation
To check if -653 is divisible by 653, we can ignore the negative sign and see if 653 divides evenly into 653. Indeed, 653 divided by 653 equals 1, so -653 is divisible by 653.
Problem 4
Can 1305 be divisible by 653?
No, 1305 is not divisible by 653.
Explanation
To verify if 1305 is divisible by 653, divide 1305 by 653. The result is not an integer, indicating that there is a remainder. Therefore, 1305 is not divisible by 653.
Problem 5
Check the divisibility rule of 653 for 3265.
Yes, 3265 is divisible by 653.
Explanation
To determine if 3265 is divisible by 653, divide 3265 by 653. The exact result is 5, with no remainder, which means 3265 is divisible by 653.
FAQs on Divisibility Rule of 653
1.What is the divisibility rule for 653?
2.How many numbers are there between 1 and 1000 that are divisible by 653?
3.Is 2612 divisible by 653?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 653 apply to all the integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 653?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 653 with numbers?
8.What role do numbers and Divisibility Rule of 653 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 653 skills?
Important Glossaries for Divisibility Rule of 653
- 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 653 if it follows the steps outlined in the rule.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 653 are 653, 1306, 1959, 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 the accuracy of a mathematical operation, such as using division to confirm a result obtained using a divisibility rule.
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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.
