Last updated on May 26th, 2025
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the 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.
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.
If the result we get after subtraction is negative, avoid the symbol and consider it as positive for checking the divisibility of a number.
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.
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
The divisibility rule of 287 helps us to quickly check if a given number is divisible by 287, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Is 8610 divisible by 287?
Yes, 8610 is divisible by 287.
To check if 8610 is divisible by 287, follow these steps:
1) Take the last three digits of the number, which is 610.
2) Subtract this value from the number formed by the remaining digits, 8 - 610 = -602.
3) If -602 is divisible by 287, then 8610 is divisible by 287. Since -602 = -287 × 2 + 28, the result is not divisible by 287.
Check the divisibility rule of 287 for 5740.
No, 5740 is not divisible by 287.
Follow the steps to check if 5740 is divisible by 287:
1) Take the last three digits, which is 740.
2) Subtract this from the number formed by the remaining digit, 5 - 740 = -735.
3) Since -735 is not a multiple of 287, 5740 is not divisible by 287.
Is 861 divisible by 287?
Yes, 861 is divisible by 287.
To determine if 861 is divisible by 287:
1) Take the last three digits, which is 861 in this case.
2) Since there are no other digits, there's no need to subtract.
3) 861 is 287 multiplied by 3 (287 x 3 = 861), so it is divisible by 287.
Can 1722 be divisible by 287 following the divisibility rule?
No, 1722 isn't divisible by 287.
To check the divisibility of 1722 by 287:
1) Take the last three digits, which is 722.
2) Subtract this from the number formed by the remaining digit, 1 - 722 = -721.
3) Since -721 is not a multiple of 287, 1722 is not divisible by 287.
Check the divisibility rule of 287 for 574.
No, 574 is not divisible by 287.
To check if 574 is divisible by 287:
1) Take the last three digits, which is 574 in this case.
2) Since there are no other digits, there's no need to subtract.
3) 574 divided by 287 equals 2 with a remainder, so it is not divisible by 287.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.