The number of positive divisors of 252 is

Step-by-step solution

We know that, if a=p₁^ ₁ p₂^ ₂ Then, the total number of positive divisors of a is T(a)= ( ₁+1 ) ( ₂+1 ) . Given, 252=2² 3² 7¹ Here, ₁=2, ₂=2, ₃=1 T(a)=(2+1)(2+1)(1+1)=3 3 2=18