Question:
The last digit of the number $373^{336}$ is:
The last digit of the number $373^{336}$ is:
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For last digit problems, identify repeating cycles (usually of length 4).
Updated On: Apr 23, 2026
- 4
- 3
- 7
- 1
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The Correct Option is D
Solution and Explanation
Concept:
Only the unit digit matters.
Step 1: Consider last digit.
\[ 373^{336} \Rightarrow 3^{336} \]
Step 2: Find pattern of 3.
\[ 3^1 = 3,\quad 3^2 = 9,\quad 3^3 = 7,\quad 3^4 = 1 \] Cycle repeats every 4.
Step 3: Find remainder.
\[ 336 \mod 4 = 0 \]
Step 4: Conclusion.
\[ {Last digit corresponds to } 3^4 = 1 \]
Hence, the last digit is 1.
Step 1: Consider last digit.
\[ 373^{336} \Rightarrow 3^{336} \]
Step 2: Find pattern of 3.
\[ 3^1 = 3,\quad 3^2 = 9,\quad 3^3 = 7,\quad 3^4 = 1 \] Cycle repeats every 4.
Step 3: Find remainder.
\[ 336 \mod 4 = 0 \]
Step 4: Conclusion.
\[ {Last digit corresponds to } 3^4 = 1 \]
Hence, the last digit is 1.
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