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Math Help - find n such that...

  1. #1
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    find n such that...

    Find a natural number n, in canonical form, such than n/2=a^2 , n/3=b^3 , n/5= c^5 for some a,b,c (natural numbers)
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  2. #2
    Junior Member Nehushtan's Avatar
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    Re: Find n such that

    n is divisible by 2, 3, and 5, so try n=2^r3^s5^t. Then r must be divisible by 3 and 5, s must be divisible by 2 and 5, and t must be divisible by 2 and 3. Hence one possible value for n is 2^{15}3^{10}5^{6}.
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