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Grade: 10
        
If ‘p’ is prime >= 3. What is the greatest number which will divide p^2-1?
4 years ago

Answers : (3)

Arun Kumar
IIT Delhi
askIITians Faculty
256 Points
							Hi Ashfaaq,
See if you take any no. and try to see then you will find that all unique factors are till its square root.
and lets assume here that p is greater than 6.
then its greatest factors be
if we have more information about p then we can have factors of n too.


Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

4 years ago
Viraj C Bukitagar
42 Points
							
let p be 3
3^2-1=8
let p be 5
5^2-1=24
let p be 7
7^2-1=48
if we take hcf of the solutions 3 results
that is hcf(8,24,48)=8
therfore 8 is the highest no. divisible by p^2-1
 
still have doubt try two more casees and find hcf of all 5 numbers the result will be 8
4 years ago
Ashfaaq Mohammed
35 Points
							
@Viraj C Butkitagar: Thank you very much for your answer. I appreciate it.
4 years ago
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