Free Practice Question
PS · Problem Solving
sub-505
Divisibility/Multiples/Factors
What is the largest positive integer x such that 3^x divides 81^4?
Answer Choices
Correct answer marked belowA
4
B
6
C
8
D
12
16
Correct
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Explanation
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Official Explanation
Official
To solve this, we start with the expression . We can rewrite 81 as , so . Now, we need to find the largest integer x such that is a factor of . This…
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Comments
2
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H
HimanshuFeb 1, 2025
thankss
R
RaparthyDec 23, 2024
thank you taking time to upload it!
What this question tests
What it tests
Your understanding of divisibility rules, least common multiples, and greatest common factors.
Common trap
Forgetting that 1 is not prime and that every integer divides 0.
Details
Difficulty
sub-505
Type
PS
Category