Last updated on May 26th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without using traditional division. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the 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.
The divisibility rule of 676 helps us quickly determine if a number is divisible by 676, but common mistakes like calculation errors can lead to incorrect conclusions. Here are some common mistakes and how to avoid them.
Can 1352 be divided evenly by 676?
Yes, 1352 is divisible by 676.
To determine if 1352 is divisible by 676, divide it directly by 676 to check if it results in a whole number.
1) 1352 ÷ 676 = 2.
2) Since the division results in a whole number, 1352 is divisible by 676.
Verify the divisibility of 2704 by 676.
Yes, 2704 is divisible by 676.
To verify if 2704 is divisible by 676, perform the division.
1) 2704 ÷ 676 = 4.
2) The result is a whole number, confirming that 2704 is divisible by 676.
Is 3380 divisible by 676?
No, 3380 is not divisible by 676.
Check the divisibility by dividing 3380 by 676.
1) 3380 ÷ 676 ≈ 5.
2) The result is not a whole number, indicating that 3380 is not divisible by 676.
Determine if 6760 is divisible by 676.
Yes, 6760 is divisible by 676.
To determine if 6760 is divisible by 676, perform the division.
1) 6760 ÷ 676 = 10.
2) The division results in a whole number, so 6760 is divisible by 676.
Check the divisibility of 2028 by 676.
No, 2028 is not divisible by 676.
To check if 2028 is divisible by 676, divide the number.
1) 2028 ÷ 676 ≈ 3.
2) Since the result is not a whole number, 2028 is not divisible by 676.
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.