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06 Sep 2017, 20:31
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UNITS DIGIT OF ANY INTEGER
Hi peeps,
While preparing I noticed this and thought it will be useful to all. Not sure if someone has already posted it.
For instance what is the units digit of 567^996? The unit digit depends only on the unit digit of the original number. here "7". Refer the table below: As 996 is a multiple of 4, we ca find that the unit digit of 567^996 is 1.
UNITS DIGIT OF ANY INTEGER with INTEGER POWERS (1,2,3...)
1 = Always 1
2 = 2, 4, 8, 6 repeats
3 = 3, 9, 7, 1 repeats
4 = 4 , 6 repeats
5 = Always 5
6 = Always 6
7 = 7, 9, 3, 1 repeats
8 = 8, 4, 2, 6 repeats
9 = 9, 1 repeats
10 = always 0
Hi peeps,
While preparing I noticed this and thought it will be useful to all. Not sure if someone has already posted it.
For instance what is the units digit of 567^996? The unit digit depends only on the unit digit of the original number. here "7". Refer the table below: As 996 is a multiple of 4, we ca find that the unit digit of 567^996 is 1.
UNITS DIGIT OF ANY INTEGER with INTEGER POWERS (1,2,3...)
1 = Always 1
2 = 2, 4, 8, 6 repeats
3 = 3, 9, 7, 1 repeats
4 = 4 , 6 repeats
5 = Always 5
6 = Always 6
7 = 7, 9, 3, 1 repeats
8 = 8, 4, 2, 6 repeats
9 = 9, 1 repeats
10 = always 0
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
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13 Sep 2017, 09:41
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EvenPrime
8. Exponents and Roots of Numbers
Cyclicity and the remainders on the GMAT
Units digits, exponents, remainders problems
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
