The user-friendly version of this content is available here.
The following content is copyright (c) 2009-2013 by Goods of the Mind, LLC.
This problem trains for: AMC-8, Math Kangaroo 7-8, AMC-10.
What is the product of the prime divisors of the numbers of the form:
where n is a positive integer?
Work on the expression to find a factoring:
The numbers of this form have a prime factorization of the form:
The product of the prime factors is:
Note that, if n is allowed to be zero, then the only prime factors remaining are 2 and 7 and the product is only 14.