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 \(\boxed{\text{(B)}}\).