203 LearnersLast updated on May 26th, 2025
Divisibility Rule of 755
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 755.
What is the Divisibility Rule of 755?
The divisibility rule for 755 is a method by which we can find out if a number is divisible by 755 or not without using the division method.
Check whether 1510 is divisible by 755 with the divisibility rule.
Step 1: Since 755 is a large number, it can be cumbersome to apply a simple rule. We can break down 755 into its prime factors: 5, 151. Therefore, a number is divisible by 755 if it is divisible by both 5 and 151.
Step 2: Check divisibility by 5: A number is divisible by 5 if it ends in 0 or 5. Since 1510 ends in 0, it is divisible by 5.
Step 3: Check divisibility by 151: Apply a method or use division to confirm. For illustration, 1510 divided by 151 equals 10, which is an integer.
As both conditions are satisfied, 1510 is divisible by 755.
Tips and Tricks for Divisibility Rule of 755
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 755.
Know the factors of 755:
Memorize the factors (5 and 151) to quickly check divisibility. If a number is divisible by both 5 and 151, it is divisible by 755.
Use the division method to verify:
While checking large numbers, it might be easier to perform direct division for quick verification.
Repeat the process for large numbers:
For numbers that are too large, break them down and check divisibility by each factor separately.
Use estimation:
Estimate large numbers by rounding them to the nearest multiple of 755 to see if it is close enough to warrant further checking.
Avoid common pitfalls:
Ensure you check divisibility by both factors separately and don't confuse the steps.
Common Mistakes and How to Avoid Them in Divisibility Rule of 755
The divisibility rule of 755 helps us quickly check if the given number is divisible by 755, 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 checking divisibility by both factors.
Always check divisibility by both 5 and 151 independently.
Mistake 2
Assuming divisibility without verification.
Do not assume; use either factorization or direct division to confirm.
Mistake 3
Forgetting to apply the divisibility rule of 5.
Always start by checking divisibility by 5 (ends in 0 or 5).
Mistake 4
Confusing the factors of 755.
Remember that 755 = 5 × 151. Always check both.
Mistake 5
Incorrect calculations.
Double-check your calculations and use a calculator if necessary.
Divisibility Rule of 755 Examples
Problem 1
Is the total cost of $1,510 for 10 identical chairs divisible by 755?
Yes, the total cost of $1,510 is divisible by 755.
Explanation
To check if 1,510 is divisible by 755, we need to see if dividing it results in a whole number.
1) Divide 1,510 by 755.
2) The result is exactly 2, meaning 1,510 is divisible by 755 without a remainder.
Problem 2
A factory produces 7,550 widgets in a week. Can these widgets be evenly packed into boxes of 755?
Yes, 7,550 widgets can be evenly packed into boxes of 755.
Explanation
To determine if 7,550 can be divided evenly by 755, perform the division.
1) Divide 7,550 by 755.
2) The result is exactly 10, so 7,550 is divisible by 755 without any leftover widgets.
Problem 3
An art gallery has 755 paintings and wants to distribute them equally into display units. Can each unit hold 100 paintings?
No, 755 paintings cannot be distributed equally into display units of 100.
Explanation
To check if 755 paintings can be divided into groups of 100:
1) Divide 755 by 100.
2) The result is 7 with a remainder of 55, meaning 755 cannot be divided evenly into groups of 100.
Problem 4
A charity event had 1,510 participants, and each participant received a gift bag. If the cost of gift bags is $755 per 100 bags, is the total cost divisible by 755?
Yes, the total cost is divisible by 755.
Explanation
To check if the total cost is divisible, calculate the number of 100-bag sets:
1) Divide 1,510 by 100 to get 15.1, round up to 16 sets needed.
2) Multiply 16 by 755 to find the total cost: $12,080.
3) Divide $12,080 by 755; the result is exactly 16, meaning the total cost is divisible by 755.
Problem 5
A ship carries 7,550 tons of cargo. If each container holds 755 tons, can the containers be filled completely without any leftover cargo?
Yes, the containers can be filled completely without any leftover cargo.
Explanation
To determine if all cargo can be evenly distributed:
1) Divide 7,550 by 755.
2) The result is exactly 10, indicating the cargo can be packed evenly into the containers with no remainder.
FAQs on Divisibility Rule of 755
1.What is the divisibility rule for 755?
2.How many numbers are there between 1 and 1000 that are divisible by 755?
3.Is 3020 divisible by 755?
4.What if I only verify divisibility by one factor?
5.Does the divisibility rule of 755 apply to all integers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 755?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 755 with numbers?
8.What role do numbers and Divisibility Rule of 755 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Divisibility Rule of 755 skills?
Important Glossaries for Divisibility Rule of 755
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number without performing division.
- Factors: Numbers that multiply together to produce a given number. For example, the factors of 755 are 5 and 151.
- Multiple: A number that can be divided by another number without a remainder. For example, 1510 is a multiple of 755.
- Integer: A whole number that can be positive, negative, or zero.
- Prime factorization: Breaking down a number into its basic building blocks, which are prime numbers. For example, 755 = 5 × 151.
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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.
