Question :

If an odd number p divides q2 then it will divide q3 also?? Explain
Submitted on 03/03/2024
Answered by Vandana Rana

Answer :

As odd number p divides q² (given)
⇒ 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.