If n is a prime number greater than 19, what is the remainder when n^2 is divided by 12 ?
If n is a prime number greater than 19, what is the remainder when n^2 is divided by 12 ?
Answer/Solution
1
Steps/Work
There are several algebraic ways to solve this question, but the easiest way is as follows:since we cannot have two correct answers just pick a prime greater than 19, square it and see what would be the remainder upon division of it by 12.
n=23 --> n^2=529 --> remainder upon division 529 by 12 is 1.
Answer: B.
n=23 --> n^2=529 --> remainder upon division 529 by 12 is 1.
Answer: B.