Question

According to the fundamental theorem of arithmetic, if p (a prime number) divides a², a is +ve integer, then

• A. a divides p
• B. a² divides p
• C. p divides a
• D. None of these

Answer 1

The Correct Option is C

According to the fundamental theorem of arithmetic, if a prime \( p \) divides \( a^2 \), it must divide \( a \). This is because if a prime divides the square of a number, it divides the number itself. Therefore, the correct answer is that \( p \) divides \( a \).

The correct option is (C): p divides a