206 LearnersLast updated on May 26th, 2025
Divisibility Rule of 462
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 462.
What is the Divisibility Rule of 462?
The divisibility rule for 462 is a method by which we can find out if a number is divisible by 462 or not without using the division method. Check whether 924 is divisible by 462 with the divisibility rule.
Step 1: Ensure the number is divisible by 2, 3, and 7 (since 462 = 2 × 3 × 7).
For divisibility by 2, the last digit should be even. In 924, the last digit is 4, which is even.
For divisibility by 3, the sum of the digits should be divisible by 3. The sum of the digits in 924 is 9 + 2 + 4 = 15, and 15 is divisible by 3.
For divisibility by 7, use the rule: double the last digit and subtract it from the rest of the number. 4 × 2 = 8, and 92 - 8 = 84, which is divisible by 7.
Step 2: Since 924 satisfies the divisibility rules for 2, 3, and 7, it is divisible by 462.
Tips and Tricks for Divisibility Rule of 462
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 462.
- Know the factors of 462: Memorize the factors of 462 (2, 3, 7) to quickly check divisibility. A number must be divisible by these factors to be divisible by 462.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they confirm divisibility by all factors of 462.
- 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 462
The divisibility rule of 462 helps us to quickly check if the given number is divisible by 462, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you.
Mistake 1
Not checking divisibility by all factors.
Students should ensure they check divisibility by 2, 3, and 7.
Divisibility Rule of 462 Examples
Problem 1
Is 1386 divisible by 462?
Yes, 1386 is divisible by 462.
Explanation
To determine if 1386 is divisible by 462, we can perform the division directly since 462 is not a commonly used divisibility rule number.
1) Divide 1386 by 462.
2) 1386 ÷ 462 = 3, which is an integer.
3) Since the result is an integer, 1386 is divisible by 462.
Problem 2
Check if 924 is divisible by 462.
Yes, 924 is divisible by 462.
Explanation
To check if 924 is divisible by 462, we conduct a simple division:
1) Divide 924 by 462.
2) 924 ÷ 462 = 2, which is an integer.
3) Since the division yields an integer, 924 is divisible by 462.
Problem 3
Is 1848 divisible by 462?
Yes, 1848 is divisible by 462.
Explanation
To determine if 1848 is divisible by 462, we use division:
1) Divide 1848 by 462.
2) 1848 ÷ 462 = 4, which is an integer.
3) As the result is an integer, 1848 is divisible by 462.
Problem 4
Can 230 be divisible by 462?
No, 230 is not divisible by 462.
Explanation
To check if 230 is divisible by 462, follow these steps:
1) Divide 230 by 462.
2) 230 ÷ 462 ≈ 0.497, which is not an integer.
3) Since the result is not an integer, 230 is not divisible by 462.
Problem 5
Check the divisibility rule for 462 on 4620.
Yes, 4620 is divisible by 462.
Explanation
To verify if 4620 is divisible by 462, we perform the division:
1) Divide 4620 by 462.
2) 4620 ÷ 462 = 10, which is an integer.
3) Since the division result is an integer, 4620 is divisible by 462.
FAQs on Divisibility Rule of 462
1.What is the divisibility rule for 462?
2.How can you determine if a number is divisible by 2?
3.How can you determine if a number is divisible by 3?
4.How can you determine if a number is divisible by 7?
5.Does the divisibility rule of 462 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 462?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 462 with numbers?
8.What role do numbers and Divisibility Rule of 462 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 462 skills?
Important Glossaries for Divisibility Rule of 462
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not.
- Factors: Numbers that divide another number exactly without leaving a remainder. For 462, the factors are 2, 3, and 7.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 462 are 462, 924, 1386, etc.
- Integers: Whole numbers that include positive numbers, negative numbers, and zero.
- Subtraction: A mathematical operation that represents the operation of removing objects from a collection.
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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.
