173 LearnersLast updated on May 26th, 2025
Divisibility Rule of 774
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 774.
What is the Divisibility Rule of 774?
The divisibility rule for 774 is a method by which we can find out if a number is divisible by 774 or not without using the division method. Check whether 1548 is divisible by 774 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 43 (since 774 = 2 × 3 × 43).
2: A number is divisible by 2 if it ends in an even number. Here, 1548 ends in 8, which is even, so it is divisible by 2.
3: Sum of the digits of 1548 is 1 + 5 + 4 + 8 = 18. Since 18 is divisible by 3, 1548 is divisible by 3.
43: Use the division method or calculator to verify if 1548 is divisible by 43.
Step 2: If all conditions (divisibility by 2, 3, and 43) are satisfied, the number is divisible by 774. If any of these conditions fail, the number is not divisible by 774.
Tips and Tricks for Divisibility Rule of 774
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 774.
- Know the factors: Memorize the factors of 774 (2, 3, and 43) to quickly check the divisibility.
- Use the division method for complex factors: For large factors like 43, the division method might be necessary to verify divisibility.
- Repeat the process for large numbers: Students should keep repeating the divisibility process for each factor until a small number is reached that satisfies all divisibility conditions.
Common Mistakes and How to Avoid Them in Divisibility Rule of 774
The divisibility rule of 774 helps us to quickly check if a given number is divisible by 774, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes to help you avoid them.
Mistake 1
Not checking all factors.
Ensure you check divisibility by 2, 3, and 43.
Divisibility Rule of 774 Examples
Problem 1
Is 2322 divisible by 774?
Yes, 2322 is divisible by 774.
Explanation
To determine if 2322 is divisible by 774, we need to follow the steps:
1) First, divide 2322 by 774 to see if the quotient is an integer.]
2) \(2322 \div 774 = 3\).]
3) Since the quotient is an integer, 2322 is divisible by 774.
Problem 2
Check the divisibility rule of 774 for 7740.
Yes, 7740 is divisible by 774.
Explanation
To check the divisibility:
1) First, divide 7740 by 774.
2) \(7740 \div 774 = 10\).
3) The result is an integer, so 7740 is divisible by 774.
Problem 3
Is -1548 divisible by 774?
Yes, -1548 is divisible by 774.
Explanation
To check if -1548 is divisible by 774:
1) Remove the negative sign and divide 1548 by 774.
2) \(1548 \div 774 = 2\).
3) Since the quotient is an integer, -1548 is divisible by 774.
Problem 4
Can 500 be divisible by 774 following the divisibility rule?
No, 500 is not divisible by 774.
Explanation
To verify divisibility:
1) Divide 500 by 774.
2) \(500 \div 774 \approx 0.646\).
3) The quotient is not an integer, so 500 is not divisible by 774.
Problem 5
Check the divisibility rule of 774 for 1548.
Yes, 1548 is divisible by 774.
Explanation
To confirm divisibility:
1) Divide 1548 by 774.
2) \(1548 \div 774 = 2\).
3) The quotient is an integer, so 1548 is divisible by 774.
FAQs on Divisibility Rule of 774
1.What is the divisibility rule for 774?
2.Are all numbers divisible by 774 also divisible by 2?
3.Is 1548 divisible by 774?
4.What if only two conditions are met?
5.Does the divisibility rule of 774 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 774?
7.What are some fun ways kids in United States can practice Divisibility Rule of 774 with numbers?
8.What role do numbers and Divisibility Rule of 774 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 774 skills?
Important Glossaries for Divisibility Rule of 774
- Divisibility rule: A set of rules used to determine if one number can be divided evenly by another without using division.
- Factors: Numbers that multiply together to produce another number. For 774, the factors are 2, 3, and 43.
- Multiples: Results obtained from multiplying a number by integers. For example, multiples of 43 are 43, 86, 129, etc.
- Even number: A number divisible by 2 without a remainder.
- Sum of digits: The total obtained by adding all digits of a number, used to check divisibility by certain factors like 3.
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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.
