216 LearnersLast updated on May 26th, 2025
The Divisibility Rule of 456
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 456.
What is the Divisibility Rule of 456?
The divisibility rule for 456 is a method by which we can find out if a number is divisible by 456 or not without using the division method. Check whether 912 is divisible by 456 with the divisibility rule.
Step 1: Check if the number is divisible by 3. Add the digits of the number, and if the sum is divisible by 3, then the number passes this step. In 912, 9 + 1 + 2 = 12, and 12 is divisible by 3.
Step 2: Check if the number is divisible by 8. Look at the last three digits of the number. If these three digits form a number divisible by 8, then the number passes this step. In 912, the last three digits are 912, and 912 ÷ 8 = 114, which is a whole number.
If a number passes both checks, it is divisible by 456.
Tips and Tricks for Divisibility Rule of 456
Learning the divisibility rule will help kids master division. Let's learn a few tips and tricks for the divisibility rule of 456.
- Know the multiples of 456: Memorize the multiples of 456 (456, 912, 1368, 1824…etc.) to quickly check divisibility. If the result from the checks is a multiple of 456, then the number is divisible by 456.
- Use the known divisibility rules: Use the divisibility rules for 3 and 8 separately as a quick check to determine divisibility by 456.
- Practice with large numbers: Practice checking large numbers by ensuring they pass both divisibility tests for 3 and 8.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 456
The divisibility rule of 456 helps us quickly check if the given number is divisible by 456, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: checking divisibility by 3 by summing the digits and checking divisibility by 8 using the last three digits.
Mistake 2
Ignoring the last three digits for divisibility by 8.
Remember to consider only the last three digits of the number when checking for divisibility by 8.
Mistake 3
Not rehearsing the individual divisibility rules.
Practice the individual divisibility rules for 3 and 8 regularly to avoid confusion.
Mistake 4
Not considering potential errors in addition
Double-check your addition when checking divisibility by 3 to avoid mistakes.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps. To avoid the error, students should practice regularly.
Divisibility Rule of 456 Examples
Problem 1
Is 912 divisible by 456?
Yes, 912 is divisible by 456.
Explanation
To determine if 912 is divisible by 456, perform the following steps:
1) Divide 912 by 456.
2) The result is exactly 2 with no remainder, so 912 is divisible by 456.
Problem 2
Check the divisibility rule of 456 for 1368.
Yes, 1368 is divisible by 456.
Explanation
To check if 1368 is divisible by 456, follow these steps:
1) Divide 1368 by 456.
2) The quotient is exactly 3, and there is no remainder, indicating that 1368 is divisible by 456.
Problem 3
Is 4560 divisible by 456?
Yes, 4560 is divisible by 456.
Explanation
To verify if 4560 is divisible by 456, proceed as follows:
1) Divide 4560 by 456.
2) The division yields a quotient of 10 with no remainder, confirming that 4560 is divisible by 456.
Problem 4
Can 789 be divisible by 456 following the divisibility rule?
No, 789 isn't divisible by 456.
Explanation
To determine if 789 is divisible by 456, we perform the following:
1) Divide 789 by 456.
2) The result is approximately 1.73, which is not an integer, hence 789 is not divisible by 456.
Problem 5
Check the divisibility rule of 456 for 2280.
Yes, 2280 is divisible by 456.
Explanation
To verify if 2280 is divisible by 456, proceed with these steps:
1) Divide 2280 by 456.
2) The quotient is exactly 5, with no remainder, indicating that 2280 is divisible by 456.
FAQs on Divisibility Rule of 456
1.What is the divisibility rule for 456?
2.How many numbers are there between 1 and 5000 that are divisible by 456?
3.Is 1368 divisible by 456?
4.What if I get 0 after checking both rules?
5.Does the divisibility rule of 456 apply to all integers?
6.How can children in United States use numbers in everyday life to understand The Divisibility Rule of 456?
7.What are some fun ways kids in United States can practice The Divisibility Rule of 456 with numbers?
8.What role do numbers and The Divisibility Rule of 456 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve The Divisibility Rule of 456 skills?
Important Glossaries for Divisibility Rule of 456
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number, such as checking for divisibility by 3 and 8 for 456.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 456 are 456, 912, 1368, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Addition: Addition is the process of finding the total sum of two or more numbers, used here to check divisibility by 3.
- Last three digits: The last three digits of a number are crucial for checking divisibility by 8.
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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.
