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MATH / If n is a positive integer such that 2n has 28 positive divisors and 3n has 30 positive divisors, then how many positive divisors does 6n have?

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problem

If nn is a positive integer such that 2n2n has 28 positive divisors and 3n3n has 30 positive divisors, then how many positive divisors does 6n6n have?
Plain-text mathematical notation (without MathML)
If n is a positive integer such that 2n has 28 positive divisors and 3n has 30 positive divisors, then how many positive divisors does 6n have?
Original LaTeX notation
If $n$ is a positive integer such that $2n$ has 28 positive divisors and $3n$ has 30 positive divisors, then how many positive divisors does $6n$ have?

level

Level 5

type

Number Theory

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