For any integer n function f(n) is defined as the product of all positive even numbers less than or equal to n, for example, f(10) = 246810. So, what is the greatest prime factor of f(24) ?

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What this question tests

Your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.

Forgetting that 1 is not prime, that 0 is divisible by every integer, or that negative numbers flip your assumptions.

For any integer n function f(n) is defined as the product of all positive even numbers less than or equal to n, for example, f(10) = 2*4*6*8*10. So, what is the greatest prime factor of f(24) ?