According to the fundamental theorem of arithmetic, if T (a prime number) divides b2, b>0, then a) T divides b b) b divides T c) T2 divides b2 d) b2 divides T2

Problem : According to the fundamental theorem of arithmetic, if T (a prime number) divides b², b>0, then

a) T divides b

b) b divides T

c) T2 divides b²

d) b² divides T2

Doubt by Muskan 

Solution : 

According to the Theorem 1.3 of Chapter - 1 | Real Numbers | NCERT which states that

Let p be a prime number. If p divides a², then p divides a, where a is positive integer.

The correct option is a) T divides b.