165 LearnersLast updated on May 26th, 2025
Divisibility Rule of 584
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 584.
What is the Divisibility Rule of 584?
The divisibility rule for 584 is a method by which we can find out if a number is divisible by 584 or not without using the division method.
Check whether 1168 is divisible by 584 with the divisibility rule.
Step 1: Divide the number into two parts: the last three digits and the rest of the number. For 1168, the last three digits are 168, and the rest is 1.
Step 2: Check if the last three digits (168) are divisible by 584. Since 168 is not a multiple of 584, 1168 is not divisible by 584.
Tips and Tricks for Divisibility Rule of 584
Knowing the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 584.
- Know the multiples of 584: Memorize the multiples of 584 (584, 1168, 1752, 2336, etc.) to quickly check divisibility. If the last three digits are a multiple of 584, then the number is divisible by 584.
- Use simple division: If the number is not too large, perform quick division for the last three digits to check divisibility by 584.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that can be easily checked for divisibility by 584.
- 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 584
The divisibility rule of 584 helps us to quickly check if the given number is divisible by 584, 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 following the correct steps.
Students should follow the correct steps by dividing the number into the last three digits and checking their divisibility by 584.
Mistake 2
Incorrectly dividing the number.
Ensure the number is divided into the correct parts (last three digits and the rest of the number).
Mistake 3
Not repeating the process when needed.
Students often stop the process too soon. The process should be repeated until the smaller number can be easily checked for divisibility by 584.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Mistake 5
Overlooking the use of the division method.
Use the division method to verify results and ensure accuracy.
Divisibility Rule of 584 Examples
Problem 1
Is 1752 divisible by 584?
Yes, 1752 is divisible by 584.
Explanation
To verify if 1752 is divisible by 584, use the divisibility rule:
1) Consider the last three digits of the number, which are 752.
2) Check if 752 is divisible by 584 by performing the division 752 ÷ 584.
3) The division yields an integer result (1.288), indicating that 1752 is not divisible by 584. Correcting the explanation: it does not yield an integer, therefore 1752 is not divisible by 584.
Problem 2
Check the divisibility rule of 584 for 1168.
Yes, 1168 is divisible by 584.
Explanation
To check the divisibility rule for 1168:
1) Consider the last three digits of the number, which are 168.
2) Check if 168 is divisible by 584 by performing the division 168 ÷ 584.
3) The division does not yield an integer result, indicating that 1168 is not divisible by 584. However, as 1168 is exactly twice 584, it is indeed divisible by 584.
Problem 3
Is 876 divisible by 584?
No, 876 is not divisible by 584.
Explanation
To check if 876 is divisible by 584:
1) Consider the last three digits of the number, which are 876.
2) Check if 876 is divisible by 584 by performing the division 876 ÷ 584.
3) The division yields a non-integer result, indicating that 876 is not divisible by 584.
Problem 4
Can 2920 be divisible by 584 following the divisibility rule?
Yes, 2920 is divisible by 584.
Explanation
To check if 2920 is divisible by 584:
1) Consider the last three digits of the number, which are 920.
2) Check if 920 is divisible by 584 by performing the division 920 ÷ 584.
3) The division yields an integer result (exactly 5), indicating that 2920 is divisible by 584.
Problem 5
Check the divisibility rule of 584 for 3504.
No, 3504 is not divisible by 584.
Explanation
To check the divisibility rule for 3504:
1) Consider the last three digits of the number, which are 504.
2) Check if 504 is divisible by 584 by performing the division 504 ÷ 584.
3) The division yields a non-integer result, indicating that 3504 is not divisible by 584.
FAQs on Divisibility Rule of 584
1.What is the divisibility rule for 584?
2.How can I verify if a number is divisible by 584?
3.Is 1168 divisible by 584?
4.Does the divisibility rule of 584 apply to all the integers?
5.What if I get a remainder after dividing?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 584?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 584 with numbers?
8.What role do numbers and Divisibility Rule of 584 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 584 skills?
Important Glossaries for Divisibility Rule of 584
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number. For example, a number is divisible by 2 if it ends in an even digit.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 584 are 584, 1168, 1752, etc.
- Remainder: The amount left over after division when one number does not divide the other exactly.
- Integer: Numbers that include all whole numbers, negative numbers, and zero.
- Division: A mathematical operation where a number is divided into equal parts or groups.
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