205 LearnersLast updated on May 26th, 2025
Divisibility Rule of 775
The divisibility rule is a method to determine whether a number is divisible by another number without using the division method. In real life, we use divisibility rules for quick calculations, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 775.
What is the Divisibility Rule of 775?
The divisibility rule for 775 is a method by which we can determine if a number is divisible by 775 without using the division method. Check whether 1550 is divisible by 775 using the divisibility rule.
Step 1: Recognize that a number is divisible by 775 if it is divisible by both 25 and 31 (since 775 = 25 × 31).
Step 2: To check divisibility by 25, the number should end in 00, 25, 50, or 75. Here, 1550 ends in 50, so it is divisible by 25.
Step 3: To check divisibility by 31, divide the remaining number (after confirming divisibility by 25) by 31. For 1550 divided by 25, we get 62. Now, check if 62 is divisible by 31. Since 62 ÷ 31 = 2, 62 is divisible by 31.
Therefore, the number 1550 is divisible by 775.
Tips and Tricks for Divisibility Rule of 775
Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 775.
- Know the multiples of 775: Memorize the multiples of 775 to quickly check divisibility. If the result after division is a whole number, then the number is divisible by 775.
- Use the component divisibility: First, check divisibility by 25, then by 31. If both conditions are satisfied, the number is divisible by 775.
- Repeat the process for large numbers: If dealing with large numbers, break them down by checking divisibility by 25 and 31 separately.
- Use the division method to verify: Students can use the division method to verify and cross-check their results. This helps in verification and learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 775
The divisibility rule of 775 helps us quickly check if a number is divisible by 775, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes to avoid.
Mistake 1
Not checking both factors (25 and 31) for divisibility.
Ensure the number is divisible by both 25 and 31, not just one.
Mistake 2
Miscalculating the division for large numbers.
Carefully perform division, especially when breaking down large numbers.
Mistake 3
Assuming all numbers ending in 00 are divisible by 775.
Confirm divisibility by 31 after confirming divisibility by 25.
Mistake 4
Not using the division method to double-check.
Always verify results using the division method for accuracy.
Mistake 5
Confusing the steps of checking divisibility.
Practice regularly to remember the correct steps and avoid errors.
Divisibility Rule of 775 Examples
Problem 1
Is the number of pages in a book, 6200, divisible by 775?
No, 6200 is not divisible by 775.
Explanation
To determine if 6200 is divisible by 775, we follow these steps:
1) Divide 6200 by 775 and check if the result is an integer.
2) 6200 ÷ 775 ≈ 8.0.
3) Since the result is exactly 8 with no remainder, 6200 is divisible by 775. However, if the remainder were not zero, it would not be divisible.
Problem 2
A theater can seat 1550 people across multiple identical sections. Is the number 1550 divisible by 775, indicating each section could seat an equal number of people?
Yes, 1550 is divisible by 775.
Explanation
To check if 1550 is divisible by 775:
1) Divide 1550 by 775.
2) 1550 ÷ 775 = 2.
3) Since the result is an exact integer with no remainder, 1550 is divisible by 775.
Problem 3
The company has 3875 units of a product to be shipped in boxes containing 775 units each. Can these be evenly packed?
Yes, 3875 is divisible by 775.
Explanation
To determine if 3875 can be evenly packed:
1) Divide 3875 by 775.
2) 3875 ÷ 775 = 5.
3) The result is an integer, indicating that 3875 can be perfectly divided by 775.
Problem 4
A conference has 2325 attendees, and the organizers plan to distribute them evenly in rooms, each containing 775 seats. Is it possible to do so without leaving any seat empty?
No, 2325 is not divisible by 775.
Explanation
To find out if 2325 is divisible by 775:
1) Divide 2325 by 775.
2) 2325 ÷ 775 ≈ 3.0.
3) Since the result is exactly 3 with no remainder, technically it means 2325 is evenly divisible by 775. However, if there is any remainder, then it wouldn't be divisible.
Problem 5
A train carries 6200 kilograms of cargo, with each wagon able to hold 775 kilograms. Can the cargo be evenly distributed among the wagons?
Yes, 6200 is divisible by 775.
Explanation
To check whether 6200 kilograms can be evenly distributed:
1) Divide 6200 by 775.
2) 6200 ÷ 775 = 8.
3) The result is an integer, so 6200 kilograms can be evenly distributed among the wagons.
FAQs on Divisibility Rule of 775
1.What is the divisibility rule for 775?
2.How many numbers between 1 and 10000 are divisible by 775?
3.Is 3100 divisible by 775?
4.What if I get a non-integer after dividing by 31?
5.Does the divisibility rule of 775 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 775?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 775 with numbers?
8.What role do numbers and Divisibility Rule of 775 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 775 skills?
Important Glossaries for Divisibility Rule of 775
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 775 are 775, 1550, 2325, etc.
- Factors: Numbers that evenly divide another number. For 775, the factors are 25 and 31.
- Division: The process of determining how many times one number is contained within another.
- Integer: A whole number that can be positive, negative, or zero.
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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.
