Divisibility Rule of 728

The divisibility rule for 728 is a method by which we can determine if a number is divisible by 728 without performing actual division. To illustrate, let's check whether 1456 is divisible by 728 using this rule.

Step 1: Divide the number into three groups from the right, each consisting of three digits. If a group has less than three digits, pad with zeros. For 1456, the groups are 001 and 456.

Step 2: If each group is divisible by 728, then the whole number is divisible by 728. Here, neither 001 nor 456 is divisible by 728.

Step 3: If either group is not divisible by 728, the number is not divisible by 728.

Learning the divisibility rule can help students master division. Here are a few tips and tricks for the divisibility rule of 728.

Know the multiples of 728:

Memorize the multiples of 728 (728, 1456, 2184, etc.) to quickly check divisibility. If each group formed is a multiple of 728, then the number is divisible by 728.

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 confirm their findings and also learn.

• Divisibility rule: The set of rules used to find out 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 728 are 728, 1456, 2184, etc.
   
• Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
   
• Division: Division is the process of determining how many times one number is contained within another.
   
• Remainder: The remainder is the amount left over after division when one number does not divide the other exactly.