Q. 20

<span lang="EN-US

Answer :

If 4n is divisible by 10 then it can end with digit zero

If it is divisible by 10 it has to be divisible by 5 and 2 both

The prime factorization of 14 is 2 × 2 which is 22

4n = (22)n = 22n

Observe that 22n is divisible by 2 (because and 22n–1 is intan eger for n≥1) but not by 5 because there is no 5 in prithe me factorization of 4

Hence 4n is not divisible by 10

Hence 4n eedoesnot end with 0 for any natural number n

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses