207 LearnersLast updated on May 26th, 2025
Divisibility Rule of 762
The divisibility rule is a way to determine 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 762.
What is the Divisibility Rule of 762?
The divisibility rule for 762 is a method by which we can find out if a number is divisible by 762 or not without using the division method. Check whether 1524 is divisible by 762 with the divisibility rule.
Step 1: Check if the number is divisible by both 2 and 381, since 762 = 2 × 381.
Check divisibility by 2: The number 1524 ends in 4, which is even, so it is divisible by 2.
Check divisibility by 381: Since 381 is not a commonly known divisor, we use the standard division method to verify this part.
Step 2: If the number is divisible by both 2 and 381, then it is divisible by 762.
Tips and Tricks for Divisibility Rule of 762
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 762.
- Know the factors of 762: Since 762 = 2 × 381, understanding this factorization helps in checking divisibility.
- Use the divisibility rules for the factors: Check divisibility by 2 (last digit is even) and 381 (use standard division as reference).
- Repeat the process for large numbers: For very large numbers, first check divisibility by smaller factors like 2, then proceed to larger factors.
- 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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 762
The divisibility rule of 762 helps us to quickly check if the given number is divisible by 762, 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 2 and 381 separately.
Mistake 2
Confusing the factors of 762.
Remember that 762 is a product of 2 and 381.
Mistake 3
Not using the division method for verification.
After using divisibility rules, verify with actual division.
Mistake 4
Ignoring the evenness rule for divisibility by 2.
Ensure the last digit of the number is even to confirm divisibility by 2.
Mistake 5
Forgetting to check for both factors.
Practice regularly and remember to check both factors of 762.
Divisibility Rule of 762 Examples
Problem 1
Is 1524 divisible by 762?
Yes, 1524 is divisible by 762.
Explanation
To check if 1524 is divisible by 762, divide 1524 by 762. If the result is an integer, then it is divisible. 1524 ÷ 762 = 2, which is an integer. Therefore, 1524 is divisible by 762.
Problem 2
Check the divisibility rule of 762 for 2286.
Yes, 2286 is divisible by 762.
Explanation
To verify divisibility, divide 2286 by 762. If the result is an integer, then it is divisible. 2286 ÷ 762 = 3, which is an integer. Thus, 2286 is divisible by 762.
Problem 3
Is -762 divisible by 762?
Yes, -762 is divisible by 762.
Explanation
To check if -762 is divisible by 762, simply divide -762 by 762. If the result is an integer, then it is divisible. -762 ÷ 762 = -1, which is an integer. Therefore, -762 is divisible by 762.
Problem 4
Can 381 be divisible by 762 following the divisibility rule?
No, 381 isn't divisible by 762.
Explanation
To check if 381 is divisible by 762, divide 381 by 762. If the result is not an integer, then it is not divisible. 381 ÷ 762 = 0.5, which is not an integer. Therefore, 381 is not divisible by 762.
Problem 5
Check the divisibility rule of 762 for 7620.
Yes, 7620 is divisible by 762.
Explanation
To determine if 7620 is divisible by 762, divide 7620 by 762. If the result is an integer, then it is divisible. 7620 ÷ 762 = 10, which is an integer. Therefore, 7620 is divisible by 762.
FAQs on Divisibility Rule of 762
1.What is the divisibility rule for 762?
2.How many numbers between 1 and 1000 are divisible by 762?
3.Is 1524 divisible by 762?
4.What if a number is divisible by 2 but not by 381?
5.Does the divisibility rule of 762 apply to all integers?
6.How can children in Singapore use numbers in everyday life to understand Divisibility Rule of 762?
7.What are some fun ways kids in Singapore can practice Divisibility Rule of 762 with numbers?
8.What role do numbers and Divisibility Rule of 762 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Divisibility Rule of 762 skills?
Important Glossaries for Divisibility Rule of 762
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number without performing division.
- Factors: Numbers that divide another number evenly without leaving a remainder.
- Integer: A whole number that can be positive, negative, or zero.
- Even number: A number that is divisible by 2.
- Verification: The process of confirming the accuracy of a calculation or conclusion.
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About BrightChamps in Singapore
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.
