+0  
 
0
2147
2
avatar

How many of the numbers from the set {1,2,3,...,50} have a perfect square factor other than one?

 Jun 10, 2019
 #1
avatar
+1

1, 4, 9, 12, 16, 18, 20, 24, 27, 28, 32, 36, 40, 44, 48=15 have perfect squares as factors.

 

P.S. 1, 4, 9 have the themselves as "pefect squares as factors".

 Jun 10, 2019
edited by Guest  Jun 10, 2019
edited by Guest  Jun 10, 2019
 #2
avatar+128407 
+5

2^2 ( 1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)  =  4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44,48

 

3^2(1,2,3, 5)   =  9, 18, 27, 45

 

5^2(1, 2)  = 25, 50

 

7^2  = 49

 

 

19  numbers

 

 

cool cool cool

 Jun 10, 2019

1 Online Users

avatar