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

## Answer this Question

## Related Questions

Math - What is the smallest positive integer value n, for which 2700n is a ...

Maths - The smallest positive integer value of n for which 168 n is a multiple ...

Math - What is the smallest integer n so that the square root of 3n is a ...

math - there are three consecutive positive integers such that the sum of the ...

arithmetic - Find the smallest positive integer P such that the cube root of 400...

Number theroy - What is the 50th smallest positive integer that can be written ...

algebra 2 multiple choice HELP - find f(a), if f(t) = 2t2(squared)-t-2 A. 2(a+t)...

Math - What is the smallest positive composite integer?

Math - Please help with this problem!! Assume a, b and c are positive integers ...

MATH - Find the only positive integer whose cube is the sum of the cubes of ...