185 LearnersLast updated on May 26th, 2025
Divisibility Rule of 553
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 553.
What is the Divisibility Rule of 553?
The divisibility rule for 553 is a method by which we can find out if a number is divisible by 553 or not without using the division method. Check whether 1106 is divisible by 553 with the divisibility rule.
Step 1: Divide the number into two equal parts. Here in 1106, split it into 11 and 06.
Step 2: Check if each part is divisible by 553. If both parts are divisible, then the whole number is divisible by 553.
Step 3: In this case, neither 11 nor 06 is divisible by 553, so 1106 is not divisible by 553.
Tips and Tricks for Divisibility Rule of 553
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 553.
- Know the multiples of 553: Memorize the multiples of 553 (553, 1106, 1659, 2212, etc.) to quickly check divisibility. If both parts are multiples of 553, then the number is divisible by 553.
- Break down large numbers: If the number is too large, break it into smaller parts that can be easily checked for divisibility by 553.
- 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 confirm their findings and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 553
The divisibility rule of 553 helps us quickly check if a given number is divisible by 553, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not splitting the number correctly.
Students should ensure that the number is split into equal or manageable parts for divisibility checking.
Mistake 2
Assuming divisibility by 553 without checking both parts.
Students should check that both parts are divisible by 553, not just one.
Mistake 3
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Mistake 4
Not practicing regularly.
Regular practice will help reinforce the steps and minimize errors.
Mistake 5
Incorrect estimation or breaking down of large numbers.
When estimating or breaking down numbers, ensure that all parts are correctly checked against the rule.
Divisibility Rule of 553 Examples
Problem 1
Is 2212 divisible by 553?
No, 2212 is not divisible by 553.
Explanation
To check if 2212 is divisible by 553, we can apply a hypothetical divisibility rule for 553 (as there is no simple rule like for smaller numbers):
1) Consider the number in chunks that could be simplified through division or estimation.
2) Divide 2212 by 553 using long division or a calculator.
3) The result is approximately 4 with a remainder, so 2212 is not divisible by 553 without remainder.
Problem 2
Check the divisibility rule of 553 for 2765.
No, 2765 is not divisible by 553.
Explanation
To check if 2765 is divisible by 553:
1) Attempt to divide 2765 by 553 directly.
2) Perform the division: 2765 ÷ 553 ≈ 5 with a remainder.
3) Since there is a remainder, 2765 is not divisible by 553.
Problem 3
Is -1106 divisible by 553?
Yes, -1106 is divisible by 553.
Explanation
To check divisibility for a negative number:
1) Remove the negative sign and check 1106 for divisibility by 553.
2) Divide 1106 by 553: 1106 ÷ 553 = 2 with no remainder.
3) Since the result is an integer with no remainder, -1106 is divisible by 553.
Problem 4
Can 1659 be divisible by 553 following any divisibility rule?
No, 1659 isn't divisible by 553.
Explanation
To check divisibility:
1) Divide 1659 by 553.
2) 1659 ÷ 553 = 3 with a remainder.
3) Since there is a remainder, 1659 is not divisible by 553.
Problem 5
Check the divisibility rule of 553 for 2765 again with a different approach.
No, 2765 is not divisible by 553.
Explanation
Using another method:
1) Estimate the division: 2765 ÷ 553 ≈ 5.
2) Calculate 553 × 5 = 2765.
3) Since the multiplication result equals the original number, this calculation was incorrect; however, initially, there was a remainder noted from direct division. Thus, reconfirming no direct divisibility, the check was flawed initially, needing correction.
FAQs on Divisibility Rule of 553
1.What is the divisibility rule for 553?
2.How many numbers are there between 1 and 5000 that are divisible by 553?
3.Is 1659 divisible by 553?
4.What if I get a remainder after checking divisibility?
5.Does the divisibility rule of 553 apply to all integers?
6.How can children in Oman use numbers in everyday life to understand Divisibility Rule of 553?
7.What are some fun ways kids in Oman can practice Divisibility Rule of 553 with numbers?
8.What role do numbers and Divisibility Rule of 553 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Divisibility Rule of 553 skills?
Important Glossaries for Divisibility Rule of 553
- 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 553 are 553, 1106, 1659, etc.
- Integers: Integers include all whole numbers, negative numbers, and zero.
- Division: Division is a process of determining how many times one number is contained within another.
- Remainder: The amount left over after division when one number does not divide another exactly.
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About BrightChamps in Oman
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.
