When number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 is divided by 16, the remainder will be?

Options

A. 6
B. 5
C. 7
D. 8

Answer

To find the remainder when the number 123456789101112131415 is divided by 16, we can follow these steps:

### Step 1: Identify the number
The number we are working with is 123456789101112131415.

### Step 2: Focus on the last four digits
When dividing by 16, we only need to consider the last four digits of the number. The last four digits of 123456789101112131415 are 1415.

### Step 3: Divide the last four digits by 16
Now, we need to divide 1415 by 16 to find the remainder.

### Step 4: Perform the division
To divide 1415 by 16:
- First, we can calculate how many times 16 fits into 1415.
- 16 × 88 = 1408 (since 16 × 89 = 1416 which is greater than 1415).
- Now, we subtract 1408 from 1415.

### Step 5: Calculate the remainder
1415 - 1408 = 7.

### Conclusion
Thus, the remainder when 123456789101112131415 is divided by 16 is **7**.

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