175 LearnersLast updated on May 26th, 2025
Divisibility Rule of 551
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 551.
What is the Divisibility Rule of 551?
The divisibility rule for 551 is a method by which we can determine if a number is divisible by 551 without using the division method. Check whether 1102 is divisible by 551 with the divisibility rule.
Step 1: Multiply the last three digits of the number by 2. Here in 1102, 102 is the last three digits, so multiply it by 2: 102 × 2 = 204.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last three digits, i.e., 110 - 204 = -94.
Step 3: As -94 is not a multiple of 551, the number is not divisible by 551. If the result from Step 2 had been a multiple of 551, then the number would be divisible by 551.
Tips and Tricks for Divisibility Rule of 551
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 551.
- Know the multiples of 551: Memorize the multiples of 551 (551, 1102, 1653, 2204, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 551, then the number is divisible by 551.
- Use the negative numbers: If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive 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 551.
Example: Check if 2204 is divisible by 551 using the divisibility test. Multiply the last three digits by 2, i.e., 204 × 2 = 408.
Subtract the remaining digits excluding the last three digits by 408, 2 - 408 = -406. Since -406 is not a multiple of 551, 2204 is not divisible by 551.
- 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 551
The divisibility rule of 551 helps us to quickly check if a given number is divisible by 551, but common mistakes like calculation errors can lead to incorrect conclusions. 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, which involve multiplying the last three digits by 2 and then subtracting the result from the remaining digits excluding the last three digits and checking whether it is a multiple of 551.
Mistake 2
Including the last three digits in subtraction.
Students should keep in mind that they should exclude the last three digits while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have obtained a large number as a result of subtraction. The process should be repeated until we get a small number that is divisible by 551.
Mistake 4
Not considering the negative values.
Students may disregard negative values, thinking divisibility rules don't apply to them. But the divisibility rule is applicable for negative values too, so students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid this error, students should practice regularly.
Divisibility Rule of 551 Examples
Problem 1
Is 2204 divisible by 551?
Yes, 2204 is divisible by 551.
Explanation
To check if 2204 is divisible by 551, we can follow a multi-step process similar to other divisibility rules.
1) Divide 2204 by 551 directly to see if it results in a whole number.
2) 2204 ÷ 551 = 4.
3) Since 4 is a whole number, 2204 is divisible by 551.
Problem 2
Check the divisibility rule of 551 for 1653.
No, 1653 is not divisible by 551.
Explanation
To check if 1653 is divisible by 551, use the following steps:
1) Divide 1653 by 551 directly.
2) 1653 ÷ 551 = 3.
3) 3 is a whole number but does not produce an exact division, as there's a remainder. Therefore, 1653 is not divisible by 551.
Problem 3
Is -1102 divisible by 551?
Yes, -1102 is divisible by 551.
Explanation
To check if -1102 is divisible by 551, we first consider the absolute value of the number.
1) Divide the absolute value 1102 by 551.
2) 1102 ÷ 551 = 2.
3) Since 2 is a whole number, -1102 is divisible by 551.
Problem 4
Can 2755 be divisible by 551 following the divisibility rule?
Yes, 2755 is divisible by 551.
Explanation
To check if 2755 is divisible by 551:
1) Divide 2755 by 551 directly.
2) 2755 ÷ 551 = 5.
3) As the division results in a whole number, 2755 is divisible by 551.
Problem 5
Check the divisibility rule of 551 for 3306.
Yes, 3306 is divisible by 551.
Explanation
To determine if 3306 is divisible by 551:
1) Divide 3306 by 551 directly.
2) 3306 ÷ 551 = 6.
3) Since the division yields a whole number, 3306 is divisible by 551.
FAQs on Divisibility Rule of 551
1.What is the divisibility rule for 551?
2.How many numbers are there between 1 and 1000 that are divisible by 551?
3.Is 1102 divisible by 551?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 551 apply to all integers?
6.How can children in Oman use numbers in everyday life to understand Divisibility Rule of 551?
7.What are some fun ways kids in Oman can practice Divisibility Rule of 551 with numbers?
8.What role do numbers and Divisibility Rule of 551 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 551 skills?
Important Glossaries for Divisibility Rule of 551
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 551 are 551, 1102, 1653, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of checking results using the division method to ensure accuracy.
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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.
