Posted by **Naun** on Tuesday, May 22, 2012 at 12:18pm.

What is the smallest positive integer n so that 3n squared is a multiple of 4

- Math -
**Anonymous**, Tuesday, May 22, 2012 at 12:52pm
n=2

(3*2)^2=6^2=36

36=9*4

- Math -
**Reiny**, Tuesday, May 22, 2012 at 12:52pm
if n is even then n^2 is divisible by 4

so we need the smallest even integer which is 2

check 3n^2 = 3(2^2) = 12 , which is a multiple of 4

(I read your expression as 3 n^2

if you mean (3n)^2, then the answer is still the same )

the smallest integer n is 2

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