160 LearnersLast updated on May 26th, 2025
Divisibility Rule of 506
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 506.
What is the Divisibility Rule of 506?
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 506.
What is the Divisibility Rule of 506?
The divisibility rule for 506 is a method by which we can find out if a number is divisible by 506 or not without using the division method. Check whether 1012 is divisible by 506 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2. Here in 1012, 2 is the last digit; multiply it by 2. 2 × 2 = 4.
Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 101–4=97.
Step 3: 97 is not a multiple of 506, so 1012 is not divisible by 506. If the result from Step 2 had been a multiple of 506, then the number would have been divisible by 506.
Tips and Tricks for Divisibility Rule of 506
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 506.
Know the multiples of 506: Memorize the multiples of 506 (506, 1012, 1518, 2024, 2530…etc.) to quickly check for divisibility. If the result from the subtraction is a multiple of 506, then the number is divisible by 506.
Use negative numbers: If the result we get after the subtraction is negative, we will ignore 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 506. For example, check if 3036 is divisible by 506 using the divisibility test. Multiply the last digit by 2, i.e., 6 × 2 = 12. Subtract the remaining digits excluding the last digit by 12, 303–12=291. Still, 291 is a large number, so we will repeat the process: multiply the last digit by 2, 1 × 2 = 2. Now subtract 2 from the remaining numbers excluding the last digit, 29–2=27. As 27 is not a multiple of 506, 3036 is not divisible by 506.
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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 506
The divisibility rule of 506 helps us to quickly check if the given number is divisible by 506, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: multiply the last digit by 2, subtract the result from the remaining digits excluding the last digit, and check whether it is a multiple of 506.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit 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 got a large number to result in after subtraction. The process should be repeated until we get the smallest number that is divisible by 506.
Mistake 4
Not considering the negative values.
Students should consider 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 506 Examples
Problem 1
Can the number 1518 be evenly divided by 506?
Yes, 1518 is divisible by 506.
Explanation
To determine if 1518 is divisible by 506, perform the following steps:
1) Divide 1518 by 506 to see if there is a whole number.
2) 1518 ÷ 506 = 3, which is a whole number.
Therefore, 1518 is divisible by 506.
Problem 2
Is 2024 divisible by 506?
Yes, 2024 is divisible by 506.
Explanation
To verify the divisibility of 2024 by 506:
1) Perform the division: 2024 ÷ 506.
2) The result is 4, which is a whole number.
Therefore, 2024 is divisible by 506.
Problem 3
Check if 2530 can be divided by 506 using the divisibility rule.
No, 2530 is not divisible by 506.
Explanation
To check the divisibility:
1) Divide 2530 by 506.
2) The result is approximately 5.002, which is not a whole number.
Therefore, 2530 is not divisible by 506.
Problem 4
Determine if 4048 is divisible by 506.
Yes, 4048 is divisible by 506.
Explanation
Checking the divisibility involves:
1) Dividing 4048 by 506.
2) The result is 8, which is a whole number.
Thus, 4048 is divisible by 506.
Problem 5
Can the number 6072 be evenly divided by 506?
No, 6072 is not divisible by 506.
Explanation
To check for divisibility:
1) Divide 6072 by 506.
2) The result is approximately 12.006, which is not a whole number.
Therefore, 6072 is not divisible by 506.
FAQs on Divisibility Rule of 506
1. What is the divisibility rule for 506?
2. How many numbers are there between 1 and 5000 that are divisible by 506?
3.Is 1518 divisible by 506?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 506 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 506?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 506 with numbers?
8.What role do numbers and Divisibility Rule of 506 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 506 skills?
Important Glossaries for Divisibility Rule of 506
- 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 506 are 506, 1012, 1518, 2024, 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: Verification is the process of confirming the correctness of something, such as using division to confirm if a number is divisible by another.
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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.
