一道SAT数学题,求完整解题思路What is the greatest positive integer n so that 2^n is a factor of 12^10? 求完整解题思路

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一道SAT数学题,求完整解题思路What is the greatest positive integer n so that 2^n is a factor of 12^10? 求完整解题思路
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一道SAT数学题,求完整解题思路What is the greatest positive integer n so that 2^n is a factor of 12^10? 求完整解题思路
一道SAT数学题,求完整解题思路
What is the greatest positive integer n so that 2^n is a factor of 12^10?
求完整解题思路

一道SAT数学题,求完整解题思路What is the greatest positive integer n so that 2^n is a factor of 12^10? 求完整解题思路
12^10=(3X4)^10=3^10*2^20
If 2^n is a factor of 12^10,means n is a factor of 20.
20=1*2*2*5
So n=1,2,4,10,20