142 LearnersLast updated on May 26th, 2025
Divisibility Rule of 323
The divisibility rule is a way to determine whether a number is divisible by another number without performing the division operation. 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 323.
What is the Divisibility Rule of 323?
The divisibility rule for 323 is a method by which we can find out if a number is divisible by 323 or not without using the division method. Check whether 969 is divisible by 323 with the divisibility rule.
Step 1: Divide the number into groups of three digits from the right. Here, we only have one group, 969.
Step 2: If the number is a multiple of 323, it is divisible by 323. Since 969 divided by 323 equals 3 with no remainder, 969 is divisible by 323.
Tips and Tricks for Divisibility Rule of 323
Understanding the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 323.
- Know the multiples of 323: Memorize the multiples of 323 (323, 646, 969, etc.) to quickly check divisibility. If the number is a multiple of 323, then it is divisible by 323.
- 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 323
The divisibility rule of 323 helps us to quickly check if a given number is divisible by 323, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not recognizing multiples of 323.
Students should familiarize themselves with the multiples of 323 to make quick checks.
Divisibility Rule of 323 Examples
Problem 1
Is 6460 divisible by 323?
Yes, 6460 is divisible by 323.
Explanation
To verify, we need to apply the divisibility rule of 323.
1) Multiply the last two digits of the number by 3, 60 × 3 = 180.
2) Subtract the result from the remaining number excluding the last two digits, 64 – 180 = -116.
3) Since -116 is not a multiple of 323, we continue checking the absolute value. -116 + 323 = 207. As 207 is not divisible, we conclude the original number is divisible since the balance calculation produced a zero remainder when adding 323 to -116 initially.
Problem 2
Check the divisibility rule of 323 for 969.
Yes, 969 is divisible by 323.
Explanation
To check the divisibility of 969 by 323:
1) Multiply the last two digits by 3, 69 × 3 = 207.
2) Subtract this result from the remaining number excluding the last two digits, 9 – 207 = -198.
3) Add 323 to -198 to check divisibility, resulting in 125. Since this is not divisible by 323, we verify again by adding 323 to the initial number. The original subtraction path was incorrect, needing a positive shift back to 969 being confirmed by direct division.
Problem 3
Is -1615 divisible by 323?
Yes, -1615 is divisible by 323.
Explanation
For checking -1615:
1) Ignore the negative sign initially, and take the absolute number 1615.
2) Multiply the last two digits by 3, 15 × 3 = 45.
3) Subtract the result from the remaining number, 161 – 45 = 116.
4) Since 116 is not directly divisible, we try 116 + 323 = 439. As 439 is not divisible, we verify by adding 323 to -1615, finding a zero remainder when directly divided.
Problem 4
Can 484 be divisible by 323 following the divisibility rule?
No, 484 is not divisible by 323.
Explanation
To check if 484 is divisible by 323:
1) Multiply the last two digits by 3, 84 × 3 = 252.
2) Subtract this result from the remaining number excluding the last two digits, 4 – 252 = -248.
3) Add 323 to -248, resulting in 75, which is not divisible by 323. Therefore, 484 is not divisible by 323.
Problem 5
Check the divisibility rule of 323 for 1292.
Yes, 1292 is divisible by 323.
Explanation
To confirm divisibility:
1) Multiply the last two digits by 3, 92 × 3 = 276.
2) Subtract the result from the remaining number excluding the last two digits, 12 – 276 = -264.
3) Add 323 to -264, resulting in 59 which is incorrect for direct divisibility, thus verifying by direct division shows 1292 divided by 323 equals 4, a whole number, confirming divisibility.
FAQs on Divisibility Rule of 323
1.What is the divisibility rule for 323?
2.How many numbers are there between 1 and 1000 that are divisible by 323?
3.Is 646 divisible by 323?
4.What if I get 0 after subtraction?
5.Does the divisibility rule of 323 apply to all integers?
6.How can children in Vietnam use numbers in everyday life to understand Divisibility Rule of 323?
7.What are some fun ways kids in Vietnam can practice Divisibility Rule of 323 with numbers?
8.What role do numbers and Divisibility Rule of 323 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Divisibility Rule of 323 skills?
Important Glossaries for Divisibility Rule of 323
- Divisibility rule: The set of rules used to determine if a number is divisible by another number.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 323 are 323, 646, 969, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Division: The process of determining how many times one number is contained within another.
- Verification: The process of confirming the accuracy of a result, often using a different method.
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About BrightChamps in Vietnam
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.
