+0  
 
0
27
1
avatar

N^2 is a divisor of 8!.  What is the greatest possible integer value of N?

 May 17, 2020
 #1
avatar+20 
+1

The prime factorization of 8! is 2^7 * 3^2 * 5* 7. The largest square that divides this is 2^6*3^2 = 576

 May 17, 2020

10 Online Users

avatar
avatar