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