117 LearnersLast updated on May 26th, 2025
Divisibility Rule of 52
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 52.
What is the Divisibility Rule of 52?
The divisibility rule for 52 is a method by which we can find out if a number is divisible by 52 or not without using the division method. Check whether 2080 is divisible by 52 with the divisibility rule.
Step 1: Check if the last two digits form a number that is divisible by 4. Here in 2080, the last two digits are 80, which is divisible by 4.
Step 2: Check if the entire number is divisible by 13. We divide 2080 by 13, resulting in 160, which is an integer.
Step 3: Since both conditions are satisfied, 2080 is divisible by 52.
Tips and Tricks for Divisibility Rule of 52
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 52.
- Know the multiples of 52: Memorize the multiples of 52 (52, 104, 156, 208…etc.) to quickly check divisibility. If the original number is one of these multiples, then it is divisible by 52.
- Use the rule for 4 and 13: For a number to be divisible by 52, it must be divisible by both 4 and 13. Break the problem into these smaller checks.
- Repeat the divisibility process: If dealing with large numbers, break them down into smaller parts to check for divisibility by 4 and 13. For example, check if 5204 is divisible by 52. The last two digits, 04, are divisible by 4. Next, divide 5204 by 13 to get 400.3, which is not an integer, so 5204 is not divisible by 52.
- 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 52
The divisibility rule of 52 helps us to quickly check if the given number is divisible by 52, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you avoid errors.
Mistake 1
Not following the correct steps.
Students should check divisibility by both 4 and 13 and ensure both conditions are satisfied.
Mistake 2
Mixing up the rules for 4 and 13.
Remember that the last two digits must be divisible by 4, and the entire number must be divisible by 13.
Mistake 3
Not repeating the process for large numbers.
For large numbers, break them down into smaller components and repeat the divisibility checks.
Mistake 4
Incorrect division calculations.
Double-check calculations when dividing by 13 to ensure the quotient is an integer.
Mistake 5
Forgetting to apply both conditions.
Practice regularly to remember that both divisibility conditions (by 4 and 13) must be met.
Divisibility Rule of 52 Examples
Problem 1
Can 5200 be evenly divided by 52?
Yes, 5200 is divisible by 52.
Explanation
To check if 5200 is divisible by 52, we can use the following steps:
1) Divide 5200 by 52: 5200 ÷ 52 = 100.
2) Since the result is a whole number, 5200 is divisible by 52.
Problem 2
Is the number 208 divisible by 52?
Yes, 208 is divisible by 52.
Explanation
To check if 208 is divisible by 52, follow these steps:
1) Divide 208 by 52: 208 ÷ 52 = 4.
2) Since the quotient is a whole number, 208 is divisible by 52.
Problem 3
Check the divisibility rule of 52 for 156.
No, 156 is not divisible by 52.
Explanation
To determine if 156 is divisible by 52, use the following steps:
1) Divide 156 by 52: 156 ÷ 52 = 3.
2) Since the division results in a whole number, it initially seems divisible. However, verify by multiplication: 52 × 3 = 156.
3) Upon verification, it is confirmed 156 is divisible by 52. Correction: Yes, 156 is divisible by 52.
Problem 4
Is 104 divisible by 52?
Yes, 104 is divisible by 52.
Explanation
To check if 104 is divisible by 52, perform this calculation:
1) Divide 104 by 52: 104 ÷ 52 = 2.
2) The result is a whole number, indicating that 104 is divisible by 52.
Problem 5
Can 1300 be divided evenly by 52?
No, 1300 is not divisible by 52.
Explanation
To determine if 1300 is divisible by 52, follow these steps:
1) Divide 1300 by 52: 1300 ÷ 52 = 25.
2) Since the division results in a whole number, it initially seems divisible. However, verify by multiplication: 52 × 25 = 1300.
3) Upon verification, it is confirmed 1300 is divisible by 52. Correction: Yes, 1300 is divisible by 52.
FAQs on Divisibility Rule of 52
1.What is the divisibility rule for 52?
2.How many numbers between 1 and 1000 are divisible by 52?
3.Is 364 divisible by 52?
4.What if I get 0 after subtracting during checks?
5.Does the divisibility rule of 52 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 52?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 52 with numbers?
8.What role do numbers and Divisibility Rule of 52 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 52 skills?
Important Glossaries for Divisibility Rule of 52
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number without direct division.
- Multiples: Numbers that are the result of multiplying a base number by an integer. For example, multiples of 52 are 52, 104, 156, etc.
- Integer: A whole number that can be positive, negative, or zero.
- Subtraction: The process of finding the difference between two numbers.
- Division: The process of determining how many times one number is contained within another.
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About BrightChamps in United Kingdom
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.
