209 LearnersLast updated on May 26th, 2025
Divisibility Rule of 555
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 555.
What is the Divisibility Rule of 555?
The divisibility rule for 555 is a method by which we can find out if a number is divisible by 555 or not without using the division method. Check whether 1665 is divisible by 555 with the divisibility rule.
Step 1: Check if the number is divisible by 5. Since the last digit of 1665 is 5, it is divisible by 5.
Step 2: Check if the number is divisible by 3. Sum the digits: 1 + 6 + 6 + 5 = 18. Since 18 is divisible by 3, 1665 is divisible by 3.
Step 3: Check if the number is divisible by 37. Divide 1665 by 37. If it results in an integer, it is divisible by 37.
Since 1665 is divisible by 5, 3, and 37, it is divisible by 555.
Tips and Tricks for Divisibility Rule of 555
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 555.
- Know the multiples of 555: Memorize the multiples of 555 (555, 1110, 1665, etc.) to quickly check divisibility. If the result matches a multiple of 555, then the number is divisible by 555.
Check divisibility by 5, 3, and 37: To be divisible by 555, a number must be divisible by 5, 3, and 37.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 555
The divisibility rule of 555 helps us quickly check if a given number is divisible by 555, but common mistakes, like calculation errors, lead to incorrect results. Here, we will understand some common mistakes that will help you avoid them.
Mistake 1
Not checking divisibility by all three numbers.
Ensure the number is divisible by 5, 3, and 37 to confirm divisibility by 555.
Mistake 2
Skipping steps in the process.
Do not skip checking divisibility by 5, 3, or 37. Each step is necessary.
Mistake 3
Incorrectly summing digits for divisibility by 3.
Carefully add all digits to check divisibility by 3.
Mistake 4
Assuming divisibility by one means divisibility by all.
Being divisible by one of the three numbers does not imply divisibility by 555.
Mistake 5
Confusing the steps.
Practice regularly to remember the steps clearly.
Divisibility Rule of 555 Examples
Problem 1
Is 2775 divisible by 555?
Yes, 2775 is divisible by 555.
Explanation
To check if 2775 is divisible by 555, we can perform division directly or use a similar approach to check divisibility.
1) Notice that 555 is a multiple of 5, 37, and 3. First, check divisibility by 5: the last digit is 5, so it is divisible by 5.
2) Check divisibility by 37. Perform the division: 2775 ÷ 37 = 75, which is an integer.
3) Finally, check divisibility by 3. Sum the digits of 2775: 2 + 7 + 7 + 5 = 21, which is divisible by 3.
Since 2775 passes all individual checks, it is divisible by 555.
Problem 2
Check the divisibility rule of 555 for 1665.
Yes, 1665 is divisible by 555.
Explanation
To check if 1665 is divisible by 555:
1) First, check divisibility by 5. The last digit is 5, so it is divisible by 5.
2) Next, check divisibility by 37. Perform the division: 1665 ÷ 37 = 45, which is an integer.
3) Finally, check divisibility by 3. Sum the digits of 1665: 1 + 6 + 6 + 5 = 18, which is divisible by 3.
Since 1665 passes all individual checks, it is divisible by 555.
Problem 3
Is -2220 divisible by 555?
No, -2220 is not divisible by 555.
Explanation
To check if -2220 is divisible by 555, remove the negative sign and verify divisibility:
1) Check divisibility by 5. The last digit is 0, so it is divisible by 5.
2) Check divisibility by 37. Perform the division: 2220 ÷ 37 = 60, which is an integer.
3) Finally, check divisibility by 3. Sum the digits of 2220: 2 + 2 + 2 + 0 = 6, which is divisible by 3.
Despite passing individual checks, a miscalculation occurred; 2220 ÷ 555 is not an integer, so -2220 is not divisible by 555.
Problem 4
Can 110 be divisible by 555 following the divisibility rule?
No, 110 isn't divisible by 555.
Explanation
To check if 110 is divisible by 555:
1) Check divisibility by 5. The last digit is 0, so it is divisible by 5.
2) Check divisibility by 37. Perform the division: 110 ÷ 37 ≈ 2.973, which is not an integer.
3) Check divisibility by 3. Sum the digits of 110: 1 + 1 + 0 = 2, which is not divisible by 3.
Since 110 fails the divisibility checks for 37 and 3, it is not divisible by 555.
Problem 5
Check the divisibility rule of 555 for 1110.
Yes, 1110 is divisible by 555.
Explanation
To check the divisibility of 1110 by 555:
1) Check divisibility by 5. The last digit is 0, so it is divisible by 5.
2) Check divisibility by 37. Perform the division: 1110 ÷ 37 = 30, which is an integer.
3) Finally, check divisibility by 3. Sum the digits of 1110: 1 + 1 + 1 + 0 = 3, which is divisible by 3.
Since 1110 passes all individual checks, it is divisible by 555.
FAQs on Divisibility Rule of 555
1.What is the divisibility rule for 555?
2.How many numbers are there between 1 and 2000 that are divisible by 555?
3.Is 1110 divisible by 555?
4.What if a number is divisible by 5 and 3 but not 37?
5.Does the divisibility rule of 555 apply to all integers?
6.How can children in Oman use numbers in everyday life to understand Divisibility Rule of 555?
7.What are some fun ways kids in Oman can practice Divisibility Rule of 555 with numbers?
8.What role do numbers and Divisibility Rule of 555 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 555 skills?
Important Glossaries for Divisibility Rule of 555
- 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 555 are 555, 1110, 1665, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Sum of digits: The process of adding all digits of a number to check divisibility by some numbers like 3 or 9.
- Verification: The process of using an alternative method, like direct division, to confirm the result of a divisibility test.
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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.
