What is the last digit of 3^12?
3 has a cycle of 4, hence 12 is divided by 4 , the remainder is 0 in this case.So what will be the last digit ..please let me know.
3^12- last digit
This topic has expert replies
- kmittal82
- Master | Next Rank: 500 Posts
- Posts: 324
- Joined: Mon Jul 05, 2010 6:44 am
- Location: London
- Thanked: 70 times
- Followed by:3 members
Not sure about the cycles method, but its quick enough to deduce
1 -> 3
2 -> 9
3 -> 7
4 -> 1
5 -> 3
...
...
Following this, power of 12 should give us a last digit of 1
1 -> 3
2 -> 9
3 -> 7
4 -> 1
5 -> 3
...
...
Following this, power of 12 should give us a last digit of 1
- neelgandham
- Community Manager
- Posts: 1060
- Joined: Fri May 13, 2011 6:46 am
- Location: Utrecht, The Netherlands
- Thanked: 318 times
- Followed by:52 members
3^12 = (3^4)^3 = 81^3 = A1 (Where A is a positive integer).So,the unit's digit of 3^12 is 1
Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/