Divisibility Rule of 255

The divisibility rule for 255 is a method by which we can find out if a number is divisible by 255 or not without using the division method. Check whether 7650 is divisible by 255 with the divisibility rule.

Step 1: Check if the number is divisible by both 3, 5, and 17, as 255 is the product of these numbers.

Step 2: A number is divisible by 3 if the sum of its digits is divisible by 3. For 7650, the sum of digits is 7+6+5+0=18, which is divisible by 3.

Step 3: A number is divisible by 5 if its last digit is either 0 or 5. For 7650, the last digit is 0.

Step 4: A number is divisible by 17 if dividing the number by 17 results in an integer. Here, 7650÷17=450.

Since 7650 is divisible by 3, 5, and 17, it is divisible by 255.

Learning divisibility rules will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 255.

• Know the prime factors: Memorize the prime factors of 255 (3, 5, and 17) to quickly check divisibility.
   
• Use divisibility rules of smaller numbers: Break down the divisibility rule of 255 into its components, i.e., check for divisibility by 3, 5, and 17 separately.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 255.
   
• Use the division method to verify: Students can use the division method 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.
   
• Prime factors: The prime numbers that multiply together to get another number. For 255, these are 3, 5, and 17.
   
• Integers: Whole numbers that can be positive, negative, or zero.
   
• Remainder: The amount left over after division.
   
• Sum of digits: The total obtained by adding all the digits of a number.