Last updated on May 26th, 2025
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.
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.
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.
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.
Is 1014 divisible by 507?
Yes, 1014 is divisible by 507.
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.
Check the divisibility of 1521 by 507.
Yes, 1521 is divisible by 507.
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.
Is 2535 divisible by 507?
Yes, 2535 is divisible by 507.
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.
Can 2000 be divisible by 507?
No, 2000 is not divisible by 507.
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.
Check if 3042 is divisible by 507.
Yes, 3042 is divisible by 507.
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.
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.
: She loves to read number jokes and games.