Last updated on May 26th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the 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.
Know that 726 = 2 × 3 × 11 × 11 and check divisibility by these factors.
Ensure the number is divisible by 2, 3, and 11 to confirm divisibility by 726.
If a number is divisible by each of 2, 3, and 11, it simplifies checking divisibility by 726.
Use the division method as a way to verify and cross-check your results.
The divisibility rule of 726 helps us check if a given number is divisible by 726, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 2178 divisible by 726?
No, 2178 is not divisible by 726.
To determine if 2178 is divisible by 726, we follow these steps:
1) Divide 2178 by 726.
2) The result is approximately 3, with a remainder, indicating that 2178 is not divisible by 726.
Check the divisibility rule of 726 for 1452.
No, 1452 is not divisible by 726.
To check if 1452 is divisible by 726:
1) Divide 1452 by 726.
2) The result is approximately 2, with a remainder, so 1452 is not divisible by 726
Is -4356 divisible by 726?
Yes, -4356 is divisible by 726.
To check if -4356 is divisible by 726, we focus on the absolute value:
1) Divide 4356 by 726.
2) The quotient is exactly 6, with no remainder, confirming divisibility.
Can 5808 be divisible by 726 following the divisibility rule?
Yes, 5808 is divisible by 726.
To check if 5808 is divisible by 726:
1) Divide 5808 by 726.
2) The quotient is exactly 8, with no remainder, confirming divisibility.
Check the divisibility rule of 726 for 6534.
No, 6534 is not divisible by 726.
To check the divisibility of 6534 by 726:
1) Divide 6534 by 726.
2) The result is approximately 9, with a remainder, indicating that 6534 is not divisible by 726.
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.