Divisibility Rule of 254

The divisibility rule for 254 is a method by which we can find out if a number is divisible by 254 without directly performing the division. Check whether 508 is divisible by 254 with the divisibility rule.

Step 1: Divide the number into two parts: the last three digits and the remaining digits. Here, for 508, as it has less than three digits, consider the whole number.
 

Step 2: Check if the last three digits (or the entire number if it's less than three digits) are divisible by 254.

Step 3: Since 508 is not divisible by 254, the number is not divisible by 254.

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 254.

• Know the multiples of 254: Memorize the multiples of 254 (254, 508, 762, etc.) to quickly check the divisibility. If the number or the last three digits are a multiple of 254, then the number is divisible by 254.
   
• Use estimation: If the number is close to a known multiple of 254, use estimation to determine divisibility quickly.
   
• Repeat the process for large numbers: For numbers with more than three digits, focus on the last three digits and see if they are divisible by 254. For example, check if 1016 is divisible by 254 using the divisibility test. The last three digits are 016, which is less than 254. Therefore, 1016 is not divisible by 254.
   
• 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 verify their findings and also learn.

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 254 are 254, 508, 762, etc.
   
• Estimation: A technique to approximate a number, often used to simplify complex calculations.
   
• Integers: Integers include all whole numbers, negative numbers, and zero.
   
• Verification: The process of confirming the accuracy of a result, often using an alternative method such as division.