# Math Help - find n such that...

1. ## 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)

2. ## 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 $2^{15}3^{10}5^{6}$.