#### Question :

If an odd number p divides q2 then it will divide q3 also?? ExplainSubmitted on 3/3/2024 | Answered by Vandana Rana#### Answer :

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As odd number p divides q² (given)
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⇒ p is a factor of q²

q² =mp. -----(1) Where m is integer

Now,
q³= q² ×q

q³ =mp×q

q³= p(mq)

⇒ p is a factor of q³

Therefore, p will divide q³ also.