Question

let p be a prime number. If p divides a^2,then p divides a,where a is a positive integer​

Answer 1

Answer:

Yes

Step-by-step explanation:

Let us consider p = 5, a = 25

p divides a^2 = a^2 / p

=> 625/5

=> 125

p divides a = a / p

=> 25/ 5

=> 5

So, a is a positive integer.