4462 LearnersLast updated on May 26th, 2025
Divisibility Rule of 552
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 divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 552.
What is the Divisibility Rule of 552?
The divisibility rule for 552 is a method by which we can find out if a number is divisible by 552 or not without using the division method. Let's check whether 1104 is divisible by 552 using the divisibility rule.
Step 1: Break down 552 into its prime factors: 552 = 2^3 × 3 × 23.
Step 2: Check divisibility by each of the factors:
Divisibility by 2^3 (8): The last three digits of the number must be divisible by 8. Here, 104 is divisible by 8 (104 ÷ 8 = 13).
Divisibility by 3: The sum of the digits of the number must be divisible by 3. Here, 1 + 1 + 0 + 4 = 6, which is divisible by 3.
-Divisibility by 23: Perform long division or check using the divisibility rule for 23 if available. Here, 1104 ÷ 23 = 48.
Since the number is divisible by all the prime factors, 1104 is divisible by 552.
Tips and Tricks for Divisibility Rule of 552
Understanding the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 552.
- Know the multiples of 552: Memorize the multiples of 552 (552, 1104, 1656, etc.) to quickly check divisibility.
- Break down into smaller factors: By breaking 552 into smaller divisors (like 2^3, 3, and 23), you can simplify the process of checking divisibility.
- Repeat for large numbers: If dealing with large numbers, repeat the process of checking divisibility for each factor until the number is easy to manage.
- Verify with the division method: Use division as a way to verify and cross-check your results. This will help ensure accuracy.
Common Mistakes and How to Avoid Them in Divisibility Rule of 552
The divisibility rule of 552 helps us quickly check if a number is divisible by 552, but common mistakes like calculation errors can lead to incorrect conclusions. Here are some common mistakes and how to avoid them:
Mistake 1
Not checking all factors.
Ensure you check divisibility by 2^3, 3, and 23 for complete verification.
Mistake 3
Forgetting to repeat for each factor.
Remember to verify divisibility for each factor independently.
Mistake 4
Ignoring remainders.
Pay attention to remainders; even a small remainder means the number isn’t divisible.
Divisibility Rule of 552 Examples
Problem 1
Is the inventory of 276 items divisible by 552 for easy packaging?
No, 276 is not divisible by 552.
Explanation
To check divisibility by 552, we need to compare the number directly. Since 276 is less than 552, it cannot be divisible by 552.
Problem 2
Can a shipment of 1656 units be evenly divided into boxes of 552 units each?
Yes, 1656 is divisible by 552.
Explanation
To verify, divide 1656 by 552. The result is exactly 3, indicating that 1656 can be evenly divided into 3 boxes of 552 units each.
Problem 3
Is a donation of 1104 items divisible by 552 for distribution purposes?
Yes, 1104 is divisible by 552.
Explanation
Divide 1104 by 552 to check divisibility. The result is 2, which means the donation can be perfectly split into two groups of 552 items each.
Problem 4
Determine if a project requiring 828 materials is divisible by 552 for equal allocation.
No, 828 is not divisible by 552.
Explanation
Dividing 828 by 552 results in a non-integer value, indicating that 828 cannot be equally divided by 552.
Problem 5
Is a total of 2208 pages divisible by 552 in a bookbinding process?
Yes, 2208 is divisible by 552.
Explanation
By dividing 2208 by 552, the result is exactly 4, showing that 2208 pages can be bound into 4 equal sections of 552 pages each.
FAQs on Divisibility Rule of 552
1.What is the divisibility rule for 552?
2.How many numbers are there between 1 and 2000 that are divisible by 552?
3.Is 1656 divisible by 552?
4.What if I get a remainder after checking one factor?
5.Does the divisibility rule of 552 apply to negative numbers?
6.How can children in Saudi Arabia use numbers in everyday life to understand Divisibility Rule of 552?
7.What are some fun ways kids in Saudi Arabia can practice Divisibility Rule of 552 with numbers?
8.What role do numbers and Divisibility Rule of 552 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Divisibility Rule of 552 skills?
Important Glossaries for Divisibility Rule of 552
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number without performing division.
- Prime factors: The prime numbers that multiply together to give a particular number. For 552, they are 2, 3, and 23.
- Multiples: Numbers that can be divided by another number without a remainder. For example, multiples of 552 are 552, 1104, etc.
- Remainder: The amount left over after division. If a number is divisible, the remainder is zero.
- Verification: The process of checking calculations to ensure they are correct, often using an alternative method like division.
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About BrightChamps inSaudi Arabia
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.
