186 LearnersLast updated on May 26th, 2025
Divisibility Rule of 460
The divisibility rule is a way to determine whether a number is divisible by another number without performing actual division. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 460.
What is the Divisibility Rule of 460?
The divisibility rule for 460 is a method by which we can find out if a number is divisible by 460 without using the division method. Check whether 920 is divisible by 460 using the divisibility rule.
Step 1: Check if the number is divisible by 10. If it ends in 0, it is divisible by 10. Here in 920, the last digit is 0, so it is divisible by 10.
Step 2: Check if the number is divisible by 4. Take the last two digits of the number. Here, 20 is divisible by 4.
Step 3: Check if the number is divisible by 23. Divide the entire number by 23. Here, 920 divided by 23 equals 40, which is an integer, indicating divisibility.
Since 920 is divisible by 10, 4, and 23, it is divisible by 460.
Tips and Tricks for Divisibility Rule of 460
Learning the divisibility rule helps kids master division. Let's learn a few tips and tricks for the divisibility rule of 460.
- Know the multiples of 460: Memorize the multiples of 460 (460, 920, 1380, 1840, etc.) to quickly check divisibility.
- Use the division method to verify: Students can use the division method to verify and crosscheck their results. This will help them confirm their findings and better understand the concept.
- Check for divisibility by 10, 4, and 23: Ensure that the number is divisible by 10, 4, and 23 for it to be divisible by 460.
- Practice with different numbers: Practice checking divisibility with various numbers to become familiar with the process.
Common Mistakes and How to Avoid Them in Divisibility Rule of 460
The divisibility rule of 460 helps to quickly check if a given number is divisible by 460, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all the required divisors.
Ensure the number is divisible by 10, 4, and 23 for it to be divisible by 460.
Divisibility Rule of 460 Examples
Problem 1
Is 920 divisible by 460?
Yes, 920 is divisible by 460.
Explanation
To check divisibility by 460, divide 920 by 460.
1) Perform the division: 920 ÷ 460 = 2.
2) Since the result is a whole number, 920 is divisible by 460.
Problem 2
Check if 1840 is divisible by 460.
Yes, 1840 is divisible by 460.
Explanation
For checking the divisibility by 460, divide 1840 by 460.
1) Perform the division: 1840 ÷ 460 = 4.
2) Since the result is a whole number, 1840 is divisible by 460.
Problem 3
Is 1380 divisible by 460?
No, 1380 is not divisible by 460.
Explanation
To check divisibility by 460, divide 1380 by 460.
1) Perform the division: 1380 ÷ 460 = 3.
2) Since the result is a whole number, also check if the remainder is zero.
3) Remainder is not zero; hence, 1380 is not divisible by 460.
Problem 4
Can 4600 be divisible by 460 following this rule?
Yes, 4600 is divisible by 460.
Explanation
To check, divide 4600 by 460.
1) Perform the division: 4600 ÷ 460 = 10.
2) Since the result is a whole number, 4600 is divisible by 460.
Problem 5
Check the divisibility rule of 460 for 2300.
No, 2300 is not divisible by 460.
Explanation
To check divisibility by 460, divide 2300 by 460.
1) Perform the division: 2300 ÷ 460 = 5.
2) Check if the remainder is zero.
3) The remainder is not zero; thus, 2300 is not divisible by 460.
FAQs on Divisibility Rule of 460
1.What is the divisibility rule for 460?
2.How many numbers are there between 1 and 2000 that are divisible by 460?
3.Is 1380 divisible by 460?
4.What if I get 0 after checking divisibility by all three numbers?
5.Does the divisibility rule of 460 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 460?
7.What are some fun ways kids in United States can practice Divisibility Rule of 460 with numbers?
8.What role do numbers and Divisibility Rule of 460 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 460 skills?
Important Glossaries for Divisibility Rule of 460
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number without performing actual division.
- Multiples: Multiples are the results obtained by multiplying a number by an integer. For example, multiples of 460 are 460, 920, 1380, etc.
- Integer: Integers are whole numbers that can be positive, negative, or zero.
- Division: Division is the process of determining how many times one number is contained within another.
- Remainder: The remainder is what is left after division when a number does not divide evenly into another.
Explore More numbers
Previous to Divisibility Rule of 460
About BrightChamps in United States
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.
