196 LearnersLast updated on May 26th, 2025
Divisibility Rule of 579
The divisibility rule is a way to determine 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 579.
What is the Divisibility Rule of 579?
The divisibility rule for 579 is a method by which we can find out if a number is divisible by 579 or not without using the division method.
Check whether 1737 is divisible by 579 with the divisibility rule.
Step 1: Multiply the last three digits of the number by 2. Here in 1737, 737 are the last three digits, multiply it by 2. 737 × 2 = 1474
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last three digits. i.e., 1–1474 = -1473.
Step 3: As it is shown that -1473 is not a multiple of 579, therefore, the number is not divisible by 579. If the result from step 2 is a multiple of 579, then the number is divisible by 579.
Tips and Tricks for Divisibility Rule of 579
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 579.
- Know the multiples of 579: Memorize the multiples of 579 (579, 1158, 1737, 2316…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 579, then the number is divisible by 579.
- Use the negative numbers: If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 579.
- 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 579
The divisibility rule of 579 helps us to quickly check if the given number is divisible by 579, 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: multiplying the last three digits by 2 and then subtracting the result from the remaining digits, excluding the last three digits, and checking whether it is a multiple of 579.
Mistake 2
Including the last three digits in subtraction.
Students should keep in mind that they should exclude the last three digits while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number after subtraction. The process should be repeated until we get the smallest number that is divisible by 579.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to the negative values. But divisibility rules are applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid this error, students should practice regularly.
Divisibility Rule of 579 Examples
Problem 1
Is 2316 divisible by 579?
Yes, 2316 is divisible by 579.
Explanation
To determine if 2316 is divisible by 579, let's use the unique divisibility rule for 579.
1) Multiply the last digit by a certain factor (for this scenario, let's assume it's 4), 6 × 4 = 24.
2) Subtract the result from the remaining number excluding the last digit, 231 - 24 = 207.
3) Check if 207 is divisible by 579. Since 207 is still larger than 579, repeat the process.
4) Multiply the last digit of 207 by 4, 7 × 4 = 28.
5) Subtract the result from the remaining number, 20 - 28 = -8.
6) Since -8 is not divisible by 579, the initial assumption was incorrect, and thus, the process needs more refinement.
Problem 2
Determine if 4629 is divisible by 579.
No, 4629 is not divisible by 579.
Explanation
Applying the divisibility rule for 579:
1) Multiply the last digit of 4629 by 4, 9 × 4 = 36.
2) Subtract the result from the remaining number excluding the last digit, 462 - 36 = 426.
3) Check if 426 is divisible by 579. Since 426 is less than 579 and not a multiple, 4629 is not divisible by 579.
Problem 3
Can -1737 be divided by 579 without a remainder?
Yes, -1737 is divisible by 579.
Explanation
To check divisibility for a negative number, we can evaluate the positive equivalent:
1) Multiply the last digit of 1737 by 4, 7 × 4 = 28.
2) Subtract the result from the remaining number, 173 - 28 = 145.
3) Since further reduction is needed, multiply the last digit of 145 by 4, 5 × 4 = 20.
4) Subtract from the rest, 14 - 20 = -6.
5) Since the process does not yield a valid multiple of 579, further exploration is required.
Problem 4
Is 2895 divisible by 579 using the divisibility rule?
No, 2895 is not divisible by 579.
Explanation
Applying the rule:
1) Multiply the last digit by 4, 5 × 4 = 20.
2) Subtract from the remaining digits, 289 - 20 = 269.
3) As 269 is less than 579 and not a multiple, 2895 is not divisible by 579.
Problem 5
Is 1158 divisible by 579?
Yes, 1158 is divisible by 579.
Explanation
To verify using the divisibility rule:
1) Multiply the last digit by 4, 8 × 4 = 32.
2) Subtract from the remaining number, 115 - 32 = 83.
3) Since 83 is not a direct multiple of 579, repeat more steps or analyze further to conclude the divisibility through direct division.
FAQs on Divisibility Rule of 579
1.What is the divisibility rule for 579?
2.How many numbers are there between 1 and 5000 that are divisible by 579?
3.Is 1158 divisible by 579?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 579 apply to all the integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 579?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 579 with numbers?
8.What role do numbers and Divisibility Rule of 579 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 579 skills?
Important Glossaries for Divisibility Rule of 579
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 579 are 579, 1158, 1737, 2316, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.
- Verification: The process of checking and confirming the accuracy of a calculation or result, often using a different method such as division to ensure correctness.
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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.
