Find the largest 4-digit number divisible by 16.

Answer

To find the largest 4-digit number that is divisible by 16, we can follow these steps:

### Step 1: Identify the largest 4-digit number
The largest 4-digit number is 9999.

### Step 2: Divide the largest 4-digit number by 16
Now, we need to check if 9999 is divisible by 16. We can do this by performing the division:
\[ 9999 \div 16 \]

### Step 3: Calculate the quotient and remainder
When we divide 9999 by 16, we get:
- Quotient = 624
- Remainder = 15 (since \( 16 \times 624 = 9984 \) and \( 9999 - 9984 = 15 \))

### Step 4: Adjust the number to find the largest divisible number
Since there is a remainder, 9999 is not divisible by 16. To find the largest 4-digit number that is divisible by 16, we need to subtract the remainder from 9999:
\[ 9999 - 15 = 9984 \]

### Step 5: Verify divisibility
Now, we can verify if 9984 is divisible by 16:
\[ 9984 \div 16 = 624 \]
Since there is no remainder, 9984 is indeed divisible by 16.

### Conclusion
Thus, the largest 4-digit number that is divisible by 16 is **9984**.

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