Divisibility Rule of 559

The divisibility rule for 559 is a method by which we can find out if a number is divisible by 559 or not without using the division method. Check whether 1118 is divisible by 559 with the divisibility rule.

Step 1: Multiply the last digit of the number by 4, here in 1118, 8 is the last digit, multiply it by 4. 8 × 4 = 32.

Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 111–32 = 79.

Step 3: As it is shown that 79 is not a multiple of 559, therefore, the number is not divisible by 559. If the result from step 2 is a multiple of 559, then the number is divisible by 559.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 559.

• Know the multiples of 559: Memorize the multiples of 559 (559, 1118, 1677, 2236, 2795…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 559, then the number is divisible by 559.

• Use the negative numbers:  If the result we get after 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 559.
  
  For example: Check if 3354 is divisible by 559 using the divisibility test. Multiply the last digit by 4, i.e., 4 × 4 = 16. Subtract the remaining digits excluding the last digit by 16, 335–16 = 319. Still, 319 is a large number, hence we will repeat the process again and multiply the last digit by 4, 9 × 4 = 36.
  
  Now subtracting 36 from the remaining numbers excluding the last digit, 31–36 = -5. As -5 is not a multiple of 559, 3354 is not divisible by 559.

• 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 rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 559 if it follows the described steps.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 559 are 559, 1118, 1677, 2236, 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: Verification is the process of confirming the validity of a result, often by using an alternative method such as division.