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What is the units digit of (3127)^173
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04 Aug 2024, 22:56
04 Aug 2024, 22:56
Expert Reply
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Question Stats:
80% (00:53) correct
20% (00:56) wrong based on 20 sessions
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What is the unit’s digit of \((3127)^{173}\) ?
A. 0
B. 1
C. 3
D. 7
E. 9
A. 0
B. 1
C. 3
D. 7
E. 9
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Shorter GRE - Preparing for the Quantitative Reasoning Measure
Shorter GRE - Preparing for the Verbal Reasoning Measure
Re: What is the units digit of (3127)^173
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20 Sep 2024, 03:36
20 Sep 2024, 03:36
1
The cycle of unit digits of 7 is 7, 9, 3, 1 (7^1 = 7, 7^2 = 49, 7^3 = 343, 7^4 = 2401, 7^5 = 16807 and so on)
Remainder when 173/4 is 1, meaning 3127^173 has unit digit 7
=> D
Remainder when 173/4 is 1, meaning 3127^173 has unit digit 7
=> D
gmatclubot
Re: What is the units digit of (3127)^173 [#permalink]
20 Sep 2024, 03:36
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