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129 LearnersLast updated on February 18th, 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
Divisibility Rule of 755 Examples
Problem 1
Is the total cost of $1,510 for 10 identical chairs divisible by 755?
Explanation
Problem 2
A factory produces 7,550 widgets in a week. Can these widgets be evenly packed into boxes of 755?
Explanation
Problem 3
An art gallery has 755 paintings and wants to distribute them equally into display units. Can each unit hold 100 paintings?
Explanation
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?
Explanation
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?
Explanation
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?
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.
