191 LearnersLast updated on May 26th, 2025
Divisibility Rule of 550
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 550.
What is the Divisibility Rule of 550?
The divisibility rule for 550 is a method by which we can find out if a number is divisible by 550 or not without using the division method. Check whether 1100 is divisible by 550 with the divisibility rule.
Step 1: Check if the number is divisible by both 2, 5, and 11 because 550 is the product of these prime factors (550 = 2 × 5 × 11).
Divisibility by 2: The number 1100 ends with a 0, which is even, so it is divisible by 2.
Divisibility by 5: The number 1100 ends with a 0, which is divisible by 5.
Divisibility by 11: The difference between the sum of the digits in odd positions (1+0=1) and the sum of the digits in even positions (1+0=1) is 0, which is divisible by 11.
Step 2: Since 1100 meets all these conditions, it is divisible by 550.
Tips and Tricks for Divisibility Rule of 550
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 550.
- Understand the prime factors of 550: Memorize the prime factors of 550 (2, 5, and 11) to quickly check divisibility. A number is divisible by 550 if it is divisible by all these prime factors.
- Check each factor individually: For a number to be divisible by 550, it should pass the divisibility tests of 2, 5, and 11.
- Repeat the process for large numbers: Students should keep repeating the divisibility process for each factor until they reach a conclusion.
- 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 550
The divisibility rule of 550 helps us quickly check if a given number is divisible by 550, but common mistakes like calculation errors can 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: dividing the number, multiplying the remaining part by a constant, and then adding the result to the last three digits.
Mistake 2
Including all digits in multiplication.
Students should keep in mind that they should multiply only the remaining part of the number, not the last three digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after getting a large number. The process should be repeated until we get the smallest number that is divisible by 571.
Mistake 4
Not considering the positive values.
Students should consider negative results as positive for checking divisibility.
Mistake 5
Confusing the steps
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Divisibility Rule of 550 Examples
Problem 1
Is 1100 divisible by 550?
Yes, 1100 is divisible by 550.
Explanation
To check if 1100 is divisible by 550, we can perform straightforward division.
1) Divide 1100 by 550, 1100 ÷ 550 = 2.
2) Since the result is an integer, 1100 is divisible by 550.
Problem 2
Check the divisibility rule of 550 for 1650.
Yes, 1650 is divisible by 550.
Explanation
To check if 1650 is divisible by 550, perform the division.
1) Divide 1650 by 550, 1650 ÷ 550 = 3.
2) The result is an integer, therefore 1650 is divisible by 550.
Problem 3
Is 275 divisible by 550?
No, 275 is not divisible by 550.
Explanation
To determine if 275 is divisible by 550, we divide the numbers.
1) Divide 275 by 550, 275 ÷ 550 = 0.5.
2) Since the result is not an integer, 275 is not divisible by 550.
Problem 4
Can 2200 be divisible by 550 following the divisibility rule?
Yes, 2200 is divisible by 550.
Explanation
To check if 2200 is divisible by 550, divide the numbers.
1) Divide 2200 by 550, 2200 ÷ 550 = 4.
2) The result is an integer, so 2200 is divisible by 550.
Problem 5
Check the divisibility rule of 550 for 825.
No, 825 is not divisible by 550.
Explanation
To determine if 825 is divisible by 550, perform the division.
1) Divide 825 by 550, 825 ÷ 550 = 1.5.
2) Since the result is not an integer, 825 is not divisible by 550.
FAQs on Divisibility Rule of 550
1.What is the divisibility rule for 550?
2.How many numbers are there between 1 and 2000 that are divisible by 550?
3.Is 2200 divisible by 550?
4.What if a number is not divisible by one of the factors?
5.Does the divisibility rule of 550 apply to all integers?
6.How can children in United Arab Emirates use numbers in everyday life to understand Divisibility Rule of 550?
7.What are some fun ways kids in United Arab Emirates can practice Divisibility Rule of 550 with numbers?
8.What role do numbers and Divisibility Rule of 550 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Divisibility Rule of 550 skills?
Important Glossaries for Divisibility Rule of 550
- 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 2 if the number ends with an even number.
- Prime factors: These are the prime numbers that multiply together to give the original number. For 550, the prime factors are 2, 5, and 11.
- Multiple: A multiple is the result of multiplying a number by an integer. For example, 1100 is a multiple of 550.
- Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Sum of digits: This involves adding the digits of a number. For divisibility by 11, the alternating sum of digits is used.
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About BrightChamps in United Arab Emirates
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.
