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MMLU / Given that n>1, what is the smallest positive integer n whose positive…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Given that n>1n > 1, what is the smallest positive integer nn whose positive divisors have a product of n6n^6?
Plain-text mathematical notation (without MathML)
Given that n>1, what is the smallest positive integer n whose positive divisors have a product of n⁶?
Original LaTeX notation
Given that $n > 1$, what is the smallest positive integer $n$ whose positive divisors have a product of $n^6$?

choices

  1. 30
  2. 64
  3. 2048
  4. 60

subject

high_school_mathematics

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Source and history

Official source

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