Divisibility Rule of 289

The divisibility rule for 289 is a method by which we can find out if a number is divisible by 289 or not without using the division method. Check whether 83521 is divisible by 289 with the divisibility rule.

Step 1: Find the square root of 289, which is 17. Check if 83521 is divisible by 17 first.

Step 2: Use the divisibility rule of 17: Double the last digit and subtract it from the rest of the number. Repeat this process until you get a manageable number.

Step 3: As it is shown that 4913 is divisible by 17, therefore, the original number is divisible by 289. If the result from step 2 isn't a multiple of 17, then the number isn't divisible by 289.

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 289.

Know the multiples of 289:

Memorize multiples of 289 (289, 578, 867...etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 289, then the number is divisible by 289.

Use the negative numbers:

If the result we get after the subtraction is negative, 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 289. For example: Check if 83521 is divisible by 289 using the divisibility test. Use the rule for 17 on 83521.

Use the division method to verify:

Students can use the division method as a way to verify and crosscheck 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.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 289 are 289, 578, 867...
   
• Square root: A number which produces a specified quantity when multiplied by itself. For example, the square root of 289 is 17.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.
   
• Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.