The largest number of the three digits divisible by 4 is

Options

A. 999
B. 998
C. 997
D. 996

Answer

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

### Step-by-Step Solution:

1. **Identify the largest three-digit number**:
The largest three-digit number is 999.

2. **Check divisibility by 4**:
A number is divisible by 4 if the number formed by its last two digits is divisible by 4. We will check if 999 is divisible by 4.

To do this, we can divide 999 by 4:
\[ 999 \div 4 = 249.75 \]
This means that 999 is not divisible by 4 since it does not yield an integer.

3. **Find the remainder**:
To find out how much we need to subtract from 999 to make it divisible by 4, we can calculate the remainder:
\[ 999 \mod 4 = 3 \]
This tells us that 999 leaves a remainder of 3 when divided by 4.

4. **Subtract the remainder from 999**:
To find the largest three-digit number that is divisible by 4, we subtract the remainder from 999:
\[ 999 - 3 = 996 \]

5. **Verify divisibility of 996 by 4**:
Now, we check if 996 is divisible by 4:
\[ 996 \div 4 = 249 \]
Since this is an integer, 996 is indeed divisible by 4.

### Conclusion:
The largest three-digit number that is divisible by 4 is **996**.

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