Divisibility Rule: If 6 Divides a Number, Must 2 Divide It Too?

Will a number divisible by 6 necessarily be divisible by 2?

In order to determine if a number divisible by 6 is also divisible by 2, we first review the divisibility rules:

• 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 (one of 0, 2, 4, 6, or 8).

Consider a number $n$ that is divisible by 6. By definition, since 6 itself factors into 2 multiplied by 3, any number divisible by 6 must be divisible by 2 and 3. This means that any number divisible by 6 is automatically divisible by 2 because 2 is a part of its factorization.

Therefore, yes, any number divisible by 6 will necessarily be divisible by 2 as per the rule of divisibility.

Thus, the correct choice is:

• Choice 1: Yes

This conclusion adheres strictly to divisibility rules and confirms the assertion that being divisible by 6 includes being divisible by 2.