Divisibility Rule of 509

The divisibility rule for 509 is a method by which we can find out if a number is divisible by 509 or not without using the division method. Check whether 1018 is divisible by 509 with the divisibility rule.

Step 1: Since 509 is a relatively large number, the simplest method is to directly check divisibility by performing the division or by recognizing if the number is a multiple of 509 through memorization or calculation.

Step 2: If you know the multiples of 509, check if 1018 matches any of those multiples. In this case, 1018 is 509 × 2.

Step 3: As 1018 is a multiple of 509, therefore, the number is divisible by 509.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 509.

Know the multiples of 509: Memorize the multiples of 509 (509, 1018, 1527, 2036…etc.) to quickly check the divisibility. If the number matches a multiple of 509, then it is divisible by 509.

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.

• Divisibility rule: The set of guidelines used to determine if a number is divisible by another number.

• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 509 are 509, 1018, 1527, etc.

• Integer: A whole number that can be positive, negative, or zero.

• Division: A mathematical process of determining how many times one number is contained within another.

• Verification: The process of checking calculations to ensure correctness.