The thing to notice here is that every even number has a 2 in it. You can pull all these 2s to the front of the number, which turns a sequence of consecutive evens like this into a string of consecutive numbers (evens and odds).
From here, you can see where the larger prime factor is.
For every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12) = 2 x 4 x 6 x 8 x 10 x 12. What is the greatest prime factor of f(24) ?
(A) 23
(B) 19
(C) 17
(D) 13
(E) 11
FREE Top Three 705+ Arithmetic Shortcuts (8-video course):
https://stan.store/yourgmatcoach
FREE Factoring Magic Video Course:
https://stan.store/yourgmatcoach/p/gmat-factoring-magic-8video-course-
[latexpage] The function f is defined for each positive three-digit integer n by $f(n) =…
Look at what you're trying to do: reduce the amount of ash by reducing the…
This is rated hard. Why? Mostly it's picking what to do quickly. First eliminate the…
The question you want to ask yourself--no matter how weird it sounds on the surface--is…
Just focus on how many zeros there are after the 1. That's 50, so 51…
Survivorship bias is when you make a judgement based on surviving examples only. "Music was…