179 LearnersLast updated on May 26th, 2025
Divisibility Rule of 652
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 objects. In this topic, we will learn about the divisibility rule of 652.
What is the Divisibility Rule of 652?
The divisibility rule for 652 is a method by which we can find out if a number is divisible by 652 without using the division method. Let's check whether 1304 is divisible by 652 using this rule.
Step 1: Divide the number into groups where the last three digits form a group. In 1304, the last three digits are 304.
Step 2: Multiply the group of the last three digits by 2. 304 × 2 = 608.
Step 3: Subtract the result from Step 2 from the remaining digits on the left. 1 - 608 = -607.
Step 4: As it is shown that -607 is not a multiple of 652, the number is not divisible by 652. If the result from Step 3 was a multiple of 652, then the number would be divisible by 652.
Tips and Tricks for Divisibility Rule of 652
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 652.\
- Know the multiples of 652: Memorize the multiples of 652 (652, 1304, 1956…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 652, then the number is divisible by 652.
- Use negative numbers: If the result we get after subtraction is negative, we will avoid the negative sign and consider its absolute value 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 652.
For example: Check if 3912 is divisible by 652 using the divisibility test. Divide the number into groups, 912 is the last group. Multiply 912 by 2, i.e., 912 × 2 = 1824. Subtract from the remaining digits, 3 - 1824 = -1821. Since -1821 is not a multiple of 652, 3912 is not divisible by 652.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 652
The divisibility rule of 652 helps us quickly check if a given number is divisible by 652, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by multiplying the group of the last three digits by 2 and then subtracting the result from the remaining digits on the left.
Mistake 2
Including all digits in subtraction.
Students should be mindful that they should exclude the last three digits while subtracting and include all the remaining digits to the left.
Mistake 3
Not repeating the process when the result is large.
Students should continue the process until they reach a number that is clearly divisible by 652.
Mistake 4
Not considering the absolute values for negative results.
Students should use the absolute value of negative results for checking divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them, so regular practice is essential to avoid errors.
Divisibility Rule of 652 Examples
Problem 1
Is 1304 divisible by 652?
Yes, 1304 is divisible by 652.
Explanation
To check if 1304 is divisible by 652, divide 1304 by 652. The result is 2, which is a whole number, indicating that 1304 is divisible by 652.
Problem 2
Check the divisibility rule of 652 for 2608.
Yes, 2608 is divisible by 652.
Explanation
Divide 2608 by 652. The result is 4, which is a whole number, demonstrating that 2608 is divisible by 652.
Problem 3
Is 3260 divisible by 652?
Yes, 3260 is divisible by 652.
Explanation
To confirm this, divide 3260 by 652. The quotient is 5, which is an integer, so 3260 is divisible by 652.
Problem 4
Can 1956 be divisible by 652 following the divisibility rule?
Yes, 1956 is divisible by 652.
Explanation
Divide 1956 by 652. The quotient is 3, meaning 1956 is divisible by 652 because the result is a whole number.
Problem 5
Check the divisibility rule of 652 for 3912.
Yes, 3912 is divisible by 652.
Explanation
When you divide 3912 by 652, you get 6, which is a whole number, confirming that 3912 is divisible by 652.
FAQs on Divisibility Rule of 652
1.What is the divisibility rule for 652?
2.How many numbers are there between 1 and 5000 that are divisible by 652?
3.Is 1304 divisible by 652?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 652 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 652?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 652 with numbers?
8.What role do numbers and Divisibility Rule of 652 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 652 skills?
Important Glossaries for Divisibility Rule of 652
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For instance, a number is divisible by 2 if it ends with an even digit.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 652 are 652, 1304, 1956, 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.
- Absolute value: The absolute value of a number is its distance from zero on the number line, regardless of direction.
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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.
