Question

Suppose a prime number p divides a²,where a is a positive integer. Can p divide a³ also?  Why or why not?​

Answer 1

Answer:

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Step-by-step explanation:

Let us consider p=5,a=25

p divides a

2

=

p

a

2

=

5

625

=125

p divides a,

p

a

=

5

25

=25

So, a is a positive integer.

From the given options, only A fits our choice.

Therefore, A is the correct answer.