The smallest number of five digits exactly divisible by 476 is

Options

A. 47600
B. 10000
C. 10476
D. 10472

Answer

To find the smallest five-digit number that is exactly divisible by 476, we can follow these steps:

### Step 1: Identify the smallest five-digit number
The smallest five-digit number is 10,000.

### Step 2: Divide the smallest five-digit number by 476
We need to determine how many times 476 fits into 10,000. We perform the division:

\[ 10,000 \div 476 \approx 20.95 \]

### Step 3: Round up to the nearest whole number
Since we need a whole number of times that 476 can fit into 10,000, we round up 20.95 to the next whole number, which is 21.

### Step 4: Multiply 476 by the rounded number
Now, we multiply 476 by 21 to find the smallest five-digit number that is divisible by 476:

\[ 476 \times 21 = 10,596 \]

### Step 5: Verify if the result is a five-digit number
The result, 10,596, is indeed a five-digit number.

### Step 6: Check divisibility
To ensure that 10,596 is divisible by 476, we can perform the division:

\[ 10,596 \div 476 = 22 \]

Since the result is a whole number, 10,596 is exactly divisible by 476.

### Conclusion
Thus, the smallest five-digit number that is exactly divisible by 476 is **10,596**.

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