The smallest number of five digits exactly divisible by 476 is

Options

A. a) 47600
B. b) 10000
C. c) 10476
D. 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 10000.

### Step 2: Divide the smallest five-digit number by 476
Now, we will divide 10000 by 476 to find out how many times 476 fits into 10000.

\[ 10000 \div 476 \approx 20.95 \]

### Step 3: Round up to the nearest whole number
Since we need a whole number of times, we round up 20.95 to 21.

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

\[ 21 \times 476 = 9996 \]

### Step 5: Check if we need to go to the next whole number
Since 9996 is not a five-digit number, we need to go to the next whole number, which is 22.

### Step 6: Multiply by 22
Now, we multiply 22 by 476.

\[ 22 \times 476 = 10472 \]

### Step 7: Conclusion
Thus, the smallest five-digit number that is exactly divisible by 476 is **10472**.

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