By which of the following, 555555 is divisible?

Options

A. 11
B. 7
C. 13
D. All of these

Answer

To determine by which of the following numbers 555555 is divisible, we can analyze the number step by step.

### Step 1: Factor the number
First, we can express 555555 in a more manageable form. Notice that:
\[ 555555 = 555 \times 1001 \]

### Step 2: Factor 1001
Next, we can factor 1001. The prime factorization of 1001 is:
\[ 1001 = 7 \times 11 \times 13 \]

### Step 3: Combine the factors
Now we can combine the factors:
\[ 555555 = 555 \times (7 \times 11 \times 13) \]

### Step 4: Determine divisibility
Since 555555 can be expressed as the product of 555 and the product of 7, 11, and 13, it follows that:
- 555555 is divisible by 7
- 555555 is divisible by 11
- 555555 is divisible by 13

### Conclusion
Thus, 555555 is divisible by all of the given options: 7, 11, and 13.