SOLUTION: If N,E and T are distinct positive integers such that N*E*T =2013, then which of the following is the maximum possible sum of N,E and T?? 1. 39 2. 2015 3. 675. 4. 671

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: If N,E and T are distinct positive integers such that N*E*T =2013, then which of the following is the maximum possible sum of N,E and T?? 1. 39 2. 2015 3. 675. 4. 671      Log On


   

Question 961389: If N,E and T are distinct positive integers such that N*E*T =2013, then which of the following is the maximum possible sum of N,E and T??
1. 39 2. 2015 3. 675. 4. 671
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
prime factorization of 2013:

2013 = 3 * 11 * 61

max value of N, E, T: {1, 3, 11 * 61} (1 is implicitly a factor of every number)

sum = 1 + 3 + 671 = 675