Divisibility Rule of 209

The divisibility rule for 209 is a method by which we can find out if a number is divisible by 209 or not without using the division method. Check whether 4180 is divisible by 209 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 9, here in 4180, 0 is the last digit; multiply it by 9. 0 × 9 = 0.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 418–0 = 418.

Step 3: Divide the result by 11. 418 ÷ 11 = 38.

Step 4: Check if the result from Step 3 is divisible by 19. Since 38 ÷ 19 = 2, 4180 is divisible by 209.

If the result from Step 4 isn't a whole number, then the original number isn't divisible by 209.
 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 209.

1. Know the steps:

Memorize the steps of the divisibility rule of 209 to quickly check divisibility. This involves multiplication by 9, subtraction, division by 11, and checking divisibility by 19.

2. 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.

3. Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 209.

4. 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.

• Multiplication: The process of adding a number to itself a certain number of times. For example, multiplying the last digit by 9 in the divisibility rule of 209.

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

• Division: The process of dividing one number by another to find out how many times the second number fits into the first.

• Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.