Determine whether the given statement is true or false, and indicate why this is so.
$6 \mid 870,558$
Choose the correct answer below.
A. The statement is false because 870,558 is not divisible by both 2 and 3 .
B. The statement is true because 870,558 is divisible by both 2 and 3 .
C. The statement is false because the sum of the last two digits of 870,558 is not divisible by 6 .
D. The statement is false because the last two digits of 870,558 do not form a number that is divisible by 6 .
E. The statement is true because the last two digits of 870,558 form a number that is divisible by 6 .
F. The statement is true because the sum of the last two digits of 870,558 is divisible by 6 .

Step 1 ：The statement is asking if 6 divides 870,558 evenly. In other words, is 870,558 a multiple of 6? A number is divisible by 6 if it is divisible by both 2 and 3. A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8). A number is divisible by 3 if the sum of its digits is divisible by 3. So, we need to check these two conditions.

Step 2 ：First, check if 870,558 is divisible by 2. The last digit is 8, which is even. So, 870,558 is divisible by 2.

Step 3 ：Next, check if 870,558 is divisible by 3. The sum of the digits of 870,558 is 33, which is divisible by 3. So, 870,558 is divisible by 3.

Step 4 ：Since 870,558 is divisible by both 2 and 3, it is also divisible by 6.

Step 5 ：Final Answer: The statement is true because 870,558 is divisible by both 2 and 3. So, the correct answer is \(\boxed{\text{(B)}}\).