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