Find the largest 6-digit number divisible by 16.

Answer

To find the largest 6-digit number that is divisible by 16, we can follow these steps:

### Step 1: Identify the largest 6-digit number
The largest 6-digit number is 999,999.

### Step 2: Divide the largest 6-digit number by 16
Now, we need to divide 999,999 by 16 to find out how many times 16 fits into 999,999 and what the remainder is.

\[ 999,999 \div 16 \]

### Step 3: Perform the division
Let's perform the division:

1. 16 goes into 99 (the first two digits of 999,999) 6 times (since \(16 \times 6 = 96\)).
- Subtract 96 from 99, which gives us 3.
- Bring down the next digit (9), making it 39.

2. 16 goes into 39 2 times (since \(16 \times 2 = 32\)).
- Subtract 32 from 39, which gives us 7.
- Bring down the next digit (9), making it 79.

3. 16 goes into 79 4 times (since \(16 \times 4 = 64\)).
- Subtract 64 from 79, which gives us 15.
- Bring down the next digit (9), making it 159.

4. 16 goes into 159 9 times (since \(16 \times 9 = 144\)).
- Subtract 144 from 159, which gives us 15.
- Bring down the last digit (9), making it 159.

5. 16 goes into 159 9 times again (since \(16 \times 9 = 144\)).
- Subtract 144 from 159, which gives us 15.

The result of the division is 62499 with a remainder of 15.

### Step 4: Calculate the largest number divisible by 16
To find the largest 6-digit number that is divisible by 16, we need to subtract the remainder from 999,999:

\[ 999,999 - 15 = 999,984 \]

### Final Answer
The largest 6-digit number divisible by 16 is **999,984**.

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