Divisibility Rule of 676

The divisibility rule for 676 is a method by which we can determine if a number is divisible by 676 without using the division method. Let's check whether 2704 is divisible by 676 using this rule.

Step 1: Recognize that 676 = 26 × 26. So, a number is divisible by 676 if it is divisible by 26 twice in succession.

Step 2: Divide the number by 26. Here, 2704 ÷ 26 = 104.

Step 3: Divide the result from Step 2 by 26. Here, 104 ÷ 26 = 4.

Step 4: Since we reached a whole number (4), 2704 is divisible by 676.

Learning divisibility rules will help students master division. Let’s explore some tips and tricks for the divisibility rule of 676.

• Know the multiples of 676: Memorize the multiples of 676 (676, 1352, 2028, 2704, etc.) to quickly check divisibility.

• Use division in steps: If you cannot divide a number directly by 676, divide it by 26 two times in succession.

• Verify using smaller numbers: Break down larger numbers into smaller parts for divisibility by 676 by checking if they are divisible by 26 twice.

• Use the division method to verify: Students can use the division method to verify and cross-check their results. This will help them confirm their findings.

• Divisibility rule: A set of rules used to determine whether a number can be divided evenly by another number.

• Multiple: The result of multiplying a number by an integer. For example, multiples of 676 are 676, 1352, 2028, etc.

• Integer: Whole numbers that include all positive and negative numbers, as well as zero.

• Division: The process of determining how many times one number is contained within another.

• Successive: Following in sequence, such as dividing by 26 twice in the divisibility rule of 676.