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how many perfect squares less than 1000 are divisible by 8. 

 Feb 10, 2021
 #1
avatar+116125 
+1

No odd ones are  divisible  by  8

 

So   we  have

 

8^2  = 64   = 8 * 8

12^2  = 144  = 8 * 18

16^2   = 256  = 8 * 32

20^2  = 400  =  8 * 50

24^2  = 576  =  8 * 72

28^2    =  784  =  8 * 96

 

 

cool cool cool

 Feb 10, 2021
 #2
avatar+64 
+1

What about 16?

 

I believe there are 7 because \(​​​​\lfloor\sqrt{1000}\rfloor=31~\text{and}~\lfloor\frac{31}{4}\rfloor=7\)

pizzaisawesome972  Feb 10, 2021
edited by pizzaisawesome972  Feb 10, 2021

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