114 LearnersLast updated on May 26th, 2025
Divisibility Rule of 507
The divisibility rule is a way to determine whether a number is divisible by another number without performing the actual division. 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 507.
What is the Divisibility Rule of 507?
The divisibility rule for 507 is a method by which we can find out if a number is divisible by 507 without using the division method. Check whether 1014 is divisible by 507 with the divisibility rule.
Step 1: Multiply the last three digits of the number by 2. Here in 1014, 014 is the last segment, multiply it by 2. 14 × 2 = 28.
Step 2: Subtract the result from Step 1 from the remaining values, excluding the last three digits. i.e., 1–28 = -27.
Step 3: If the result is a multiple of 507, then the number is divisible by 507. Since -27 is not a multiple of 507, 1014 is not divisible by 507.
Tips and Tricks for Divisibility Rule of 507
Learning divisibility rules helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 507.
Know the multiples of 507: Memorize the multiples of 507 (507, 1014, 1521, 2028, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 507, then the number is divisible by 507.
Use positive values for negative results: If the result after subtraction is negative, 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 507. For example, check if 2028 is divisible by 507 using the divisibility test. Multiply the last three digits by 2, i.e., 028 × 2 = 56. Subtract the remaining digits excluding the last three digits by 56, 2–56 = -54. Since -54 is not a multiple of 507, the process should be repeated until a conclusion is reached.
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 verify and also learn.
Common Mistakes and How to Avoid Them in the Divisibility Rule of 507
The divisibility rule of 507 helps us quickly check if a given number is divisible by 507, 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 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 507.
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 obtaining a large result after subtraction. The process should be repeated until we get the smallest number that is divisible by 507.
Mistake 4
Not considering negative values.
Students often disregard negative values, thinking divisibility rules don't apply to them. However, divisibility rules are applicable for negative values too. So, students should consider negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid this error, students should practice regularly.
Divisibility Rule of 507 Examples
Problem 1
Is 1014 divisible by 507?
Yes, 1014 is divisible by 507.
Explanation
To check if 1014 is divisible by 507, follow these steps:
1) Consider the number and see if it can be split into two equal parts. 1014 can be split into 507 + 507.
2) Check if the sum equals the original number. 507 + 507 = 1014.
3) Since the sum equals the original number, 1014 is divisible by 507.
Problem 2
Check the divisibility of 1521 by 507.
Yes, 1521 is divisible by 507.
Explanation
To determine if 1521 is divisible by 507, consider the following:
1) Divide 1521 by 507 directly.
2) 1521 ÷ 507 = 3.
3) The result is a whole number, so 1521 is divisible by 507.
Problem 3
Is 2535 divisible by 507?
Yes, 2535 is divisible by 507.
Explanation
To verify if 2535 is divisible by 507, proceed with these steps:
1) Divide 2535 by 507.
2) 2535 ÷ 507 = 5.
3) The division results in a whole number, indicating that 2535 is divisible by 507.
Problem 4
Can 2000 be divisible by 507?
No, 2000 is not divisible by 507.
Explanation
To check if 2000 is divisible by 507, follow these steps:
1) Divide 2000 by 507.
2) 2000 ÷ 507 ≈ 3.944.
3) The result is not a whole number, so 2000 is not divisible by 507.
Problem 5
Check if 3042 is divisible by 507.
Yes, 3042 is divisible by 507.
Explanation
To confirm if 3042 is divisible by 507, use the following method:
1) Divide 3042 by 507.
2) 3042 ÷ 507 = 6.
3) The outcome is a whole number, which means 3042 is divisible by 507.
FAQs on Divisibility Rule of 507
1.What is the divisibility rule for 507?
2.How many numbers between 1 and 3000 are divisible by 507?
3.Is 1521 divisible by 507?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 507 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 507?
7.What are some fun ways kids in United States can practice Divisibility Rule of 507 with numbers?
8.What role do numbers and Divisibility Rule of 507 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 507 skills?
Important Glossary for Divisibility Rule of 507
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number or not.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 507 are 507, 1014, 1521, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: A process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of checking the correctness of a result, often by using an alternative method like division.
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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.
