Divisibility Rule of 599

The divisibility rule for 599 is a method by which we can find out if a number is divisible by 599 or not without using the division method. Check whether 1198 is divisible by 599 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 1198, 8 is the last digit. Multiply it by 2. 8 × 2 = 16 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 119−16 = 103.

Step 3: As it is shown that 103 is not a multiple of 599, therefore, the number is not divisible by 599. If the result from step 2 is a multiple of 599, then the number is divisible by 599.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 599.

• Know the multiples of 599: Memorize the multiples of 599 (599, 1198, 1797, 2396… etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 599, then the number is divisible by 599.

• Use the negative numbers: If the result we get after the subtraction is negative, we will avoid 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 599. For example: Check if 3594 is divisible by 599 using the divisibility test. Multiply the last digit by 2, i.e., 4 × 2 = 8. Subtract the remaining digits excluding the last digit by 8, 359−8 = 351. Still, 351 is a large number, hence we will repeat the process again and multiply the last digit by 2, 1 × 2 = 2. Now subtracting 2 from the remaining numbers excluding the last digit, 35−2 = 33. As 33 is not a multiple of 599, 3594 is not divisible by 599.

• 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: A set of rules used to find out whether a number is divisible by another number or not, without performing division.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 599 are 599, 1198, 1797, 2396, etc.

• Integers: Integers are the numbers that include all the 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: The process of confirming that a calculation or result is correct, often done by using an alternative method such as direct division.