let n be a positive integer not divisible by 6.suppose n has six positive divisors. the number of positive divisors of 9n is
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n has 6 positive divisors
and n is not divisible by 6
therefore n is not divisible by 2 and 3
9n is not divisibe by 2 and 3
but is divisible by 6 positive divisors which divide n
so it also has 6 positive divisors at least.
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