Question

Write the HCF and LCM f the smallest odd composite number and smallest odd prime number. if an odd number p divides q^2, then will it divide q^3 also? Explains

Answer 1

Smallest odd composite no. is 9.

Smallest odd prime no. is 3

so HCF ,is 3

9=3×3+0

HCF is 3

S if any odd no. p divides q^2 it will also divide q^3.

Let p be any odd no.

a=bq+r. where 0<r<b

now let 3q be an odd no.

(3q)^2=9q^2

which is divisible by 3

now
(3q)^3=27q^3

which is also divisible by 3

hence proof

hope this ans is helpful plz mark it as brainliest if u think I can help u just follow me