SOLUTION: Is it possible for the remainder to be 2 when a prime number that is greater than 2 is divided by 4? Explain why or why not.
Algebra ->
Real-numbers
-> SOLUTION: Is it possible for the remainder to be 2 when a prime number that is greater than 2 is divided by 4? Explain why or why not.
Log On
Question 174618: Is it possible for the remainder to be 2 when a prime number that is greater than 2 is divided by 4? Explain why or why not. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Is it possible for the remainder to be 2 when a prime number that is greater than 2 is divided by 4? Explain why or why not.
--------------------------------------------------------------
Let x be a prime number greater than 2.
-----
Assume x/4 = k + 2/4, then
x = 4k + 2 which is divisible by 2 and x would not be prime.
-----------
Therefore the assumption is wrong.
Cheers,
Stan H.
(