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1. What is the greatest positive integer n such that 2n is a factor of 1210?

  • A. 10
  • B. 10
  • C. 10
  • D. 10

Answer: Option D

Explanation:

The given number is 12^10
=(2*2*3)^10
=(2^20)*(3^10)

So the greatest possible value for n such that 2^n can be factor of given number is 20.


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