Final answer:
If n is divisible by 6, it must also be divisible by 2 and 3 as 6 is the product of 2 and 3.
Step-by-step explanation:
If n is divisible by 6, then yes, n is divisible by both 2 and 3. This is because the number 6 is a product of 2 and 3 (6 = 2 × 3), meaning that any multiple of 6 must also be a multiple of both 2 and 3. For example, if n is 12, which is divisible by 6, then 12 is also divisible by 2 (12/2 = 6) and by 3 (12/3 = 4). Divisibility rules are very useful in determining whether larger numbers are divisible without having to perform the division.