Explanation:

Let’s break it down step by step:

- When you multiply three consecutive even numbers—for example, 2, 4, 6—you get 2 × 4 × 6 = 48.

- Any set can be written as n, n+2, n+4 (where n is an even number). Their product: n × (n+2) × (n+4).

- All three are even, so the product will always be divisible by 8 (since at least one is divisible by 4 and another by 2).

- Let's check options:

- 12: Always divides, but not the largest.

- 24: Also always divides.

- 48: For three consecutive even numbers, one is a multiple of 4, one is a multiple of 2 (other than first), and one could be a multiple of 8 or not. But not always, since among any three consecutive even numbers, at least one is divisible by 4, but NOT necessarily by 8 (e.g., 2, 4, 6).

- 64: Too large (since 2, 4, 6 give 48).

- For 2, 4, 6 the product is 48, which is not divisible by 64 but is by 48.

Option 3: 48 is correct; the product is always divisible by 48.