Divisibility Rule of 726

The divisibility rule for 726 is a method to find out if a number is divisible by 726 without using the division method. Check whether 1452 is divisible by 726 with the divisibility rule.

Step 1: Check if the number is divisible by 2, 3, and 11 since 726 is the product of these numbers (726 = 2 × 3 × 11 × 11). First, check divisibility by 2: 1452 ends in 2, so it is divisible by 2.

Step 2: Check divisibility by 3. Add the digits of 1452: 1 + 4 + 5 + 2 = 12. Since 12 is divisible by 3, 1452 is divisible by 3.

Step 3: Check divisibility by 11. Subtract the sum of the digits at odd positions and the sum of the digits at even positions: (1 + 5) - (4 + 2) = 6 - 6 = 0. Since the result is 0, 1452 is divisible by 11.

Since 1452 is divisible by 2, 3, and 11, it is divisible by 726.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 726.

Understand the factorization:

Know that 726 = 2 × 3 × 11 × 11 and check divisibility by these factors.

Use the divisibility rules for 2, 3, and 11:

Ensure the number is divisible by 2, 3, and 11 to confirm divisibility by 726.

Confirm with smaller divisibility rules:

If a number is divisible by each of 2, 3, and 11, it simplifies checking divisibility by 726.

Verify with the division method:

Use the division method as a way to verify and cross-check your results.

• Divisibility Rule: A set of rules to determine if a number is divisible by another without performing division.
   
• Factors: Numbers that multiply to form another number (e.g., 726 = 2 × 3 × 11 × 11).
   
• Even Numbers: Numbers divisible by 2.
   
• Sum of Digits: The total obtained by adding all digits of a number.
   
• Alternating Sum: The difference between the sum of digits at odd and even positions.