Fewpal
0 votes
32 views
in Number System by (67.5k points)

Check whether 6n can end with the digit 0 for any natural number ‘n’.

1 Answer

+1 vote
by (67.6k points)
selected by
 
Best answer

We have to check whether 6n can end with the digit 0 for any natural number ‘n1

6n = 10 x q 

(2 × 3)n = 2 × 5 × q 

2n × 3n = 2 × 5 × q 

5 is prime factor of 2n × 3n

Only 2 and 3 

∴ This is not possible.

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...