Bunuel wrote:
What is the greatest positive integer n such that 3^n is a factor of 36^100?
A. 100
B. 200
C. 300
D. 600
E. 900
36^100 = (2^2 x 3^2)^100 = 2^200 x 3^200, so the max value of n is 200.
Answer: B
What is the greatest positive integer n such that 3^n is a factor of 36^100?
A. 100
B. 200
C. 300
D. 600
E. 900
36^100 = (2^2 x 3^2)^100 = 2^200 x 3^200, so the max value of n is 200.
Answer: B
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