SOLUTION: What is the greatest positive integer n such that 2^n is a factor of 12^10? I don't even know where to start!!!

Algebra.Com
Question 147490: What is the greatest positive integer n such that 2^n is a factor of 12^10?
I don't even know where to start!!!

Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
I am thinking this:
We are being asked to find the largest value of n such that is an integer
=




2 will never factor into 3, since both are prime. So the largest number for n is the largest one that still results in being an integer. What is the smallest number that still is a positive integer? well, that's 1. So what value of n results in is 1? n = 20

RELATED QUESTIONS

What is the greatest positive integer n such that 2^n is a factor of... (answered by nabla)
The question is: What is the greatest positive integer n such that 2^n is a factor of... (answered by scott8148)
A positive integer n has 60 divisors and 7n has 80 divisors. What is the greatest integer (answered by richard1234)
THE SUM OF THE SQUARES OF TWO CONSECUTIVE POSITIVE INTEGERS IS 41 41=n^2(n+1)^2... (answered by richard1234)
Which of the following could be an exact value of n^4 where n is an integer? A. 1.6 x... (answered by josgarithmetic,Theo,MathLover1)
Let n be a positive integer and 0, t<0, FX(t)=t/n , 0≤t (answered by ikleyn)
What is the smallest positive integer n such that \sqrt[4]{675 + n} is an integer? (answered by ikleyn)
What is the smallest positive integer n such that \sqrt[4]{675 + n} is an... (answered by greenestamps)
A1A2A3...An is a regular n-gon. (a) Prove that A1A2A3A4 is a trapezoid. (b) Prove... (answered by CPhill)