Divisibility Rule of 459

The divisibility rule for 459 is a method by which we can find out if a number is divisible by 459 or not without using the division method. Check whether 918 is divisible by 459 using the divisibility rule.

Step 1: Check if the number is divisible by 3. Add the digits of the number, and if the sum is divisible by 3, then the number is divisible by 3. For 918, 9 + 1 + 8 = 18, and 18 is divisible by 3.

Step 2: Check if the number is divisible by 9. Add the digits of the number, and if the sum is divisible by 9, then the number is divisible by 9. For 918, 9 + 1 + 8 = 18, and 18 is divisible by 9.

Step 3: Check if the number is divisible by 17. Divide the number by 17 and if the quotient is an integer, then it is divisible by 17. For 918, 918 ÷ 17 = 54, which is an integer.

Since 918 passes all three checks, it is divisible by 459.

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 459.

• Know the multiples of 459: Memorize the multiples of 459 (459, 918, 1377, etc.) to quickly check divisibility.

• Break down into smaller rules: Since 459 is the product of 3, 9, and 17, use the rules for these numbers to check divisibility.

• Repeat the process for large numbers: For large numbers, continue checking divisibility by 3, 9, and 17 until reaching a smaller value.

• Use the division method to verify: Verify using the division method to ensure accuracy.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

• Factors: Numbers that can be multiplied together to get another number. For example, 3, 9, and 17 are factors of 459.

• Multiples: Numbers obtained by multiplying a given number by an integer. For example, multiples of 459 are 459, 918, 1377, etc.

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

• Subtraction: The process of finding the difference between two numbers by reducing one number from another.