Divisibility Rule of 287

The divisibility rule for 287 is a method by which we can determine if a number is divisible by 287 without using the division method. Check whether 5740 is divisible by 287 with the divisibility rule.

Step 1: Multiply the last digit of the number by a specific factor. For 287, the factor is 2. Here, in 5740, 0 is the last digit, multiply it by 2. 0 × 2 = 0.

Step 2: Subtract the result from Step 1 from the remaining digits excluding the last digit. i.e., 574 – 0 = 574.

Step 3: As it is shown that 574 is still a large number, we repeat the process. Multiply the last digit of 574 by 2, which gives 4 × 2 = 8. Subtract this from the remaining digits, 57 – 8 = 49.

Step 4: Since 49 is not divisible by 287, 5740 is not divisible by 287.

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 287.

Know the multiples of 287:

Memorize the multiples of 287 (287, 574, 861, etc.) to quickly check the divisibility. If the result from subtraction is a multiple of 287, then the number is divisible by 287.

Use the negative numbers:

If the result we get after 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. For example: Check if 8610 is divisible by 287 using the divisibility test. Multiply the last digit by 2, i.e., 0 × 2 = 0. Subtract the remaining digits excluding the last digit by 0, 861 – 0 = 861. Since 861 is a known multiple of 287, 8610 is divisible by 287.

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. For example, a number is divisible by 2 if the number ends with an even number.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 287 are 287, 574, 861, 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 the correctness of a result using an alternative method, such as division, to ensure the accuracy of the divisibility test.