Check the divisibility of the given numbers, as indicated. Using tests for divisibility.
13728 by 11

Answer

To check the divisibility of the number 13728 by 11, we will follow the steps of the divisibility rule for 11. Here’s the step-by-step solution:

### Step 1: Identify the digits of the number
The number 13728 consists of the following digits: 1, 3, 7, 2, 8.

### Step 2: Separate the digits into odd and even positions
- Odd position digits: 1 (1st), 7 (3rd), 8 (5th)
- Even position digits: 3 (2nd), 2 (4th)

### Step 3: Sum the digits in odd positions
Sum of odd position digits = 1 + 7 + 8 = 16

### Step 4: Sum the digits in even positions
Sum of even position digits = 3 + 2 = 5

### Step 5: Calculate the difference between the two sums
Difference = Sum of odd position digits - Sum of even position digits
Difference = 16 - 5 = 11

### Step 6: Check if the difference is divisible by 11
Since 11 is divisible by 11, we conclude that the original number, 13728, is also divisible by 11.

### Conclusion
Therefore, 13728 is divisible by 11.

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