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[求助]the question of "2-height"?

发表于 2003-8-5 19:14:00 | 显示全部楼层

[求助]the question of "2-height"?

10、For all x, x is positive integer,  "2-height" is defined
    to be the greatest nonnegative n of x, what is the
    greatest number of 2-height when 2" is the factor of x?
A. 2
B. 12
C. 40
D. 76
E. 90
I don't understand this question, who can translate it into Chinese?
发表于 2003-8-5 19:35:00 | 显示全部楼层

 楼主| 发表于 2003-8-5 20:03:00 | 显示全部楼层
Thank you, Anchoret!
But what is that "2""? what is the number? I just cann't see it.
发表于 2003-8-5 20:06:00 | 显示全部楼层
以下是引用ExBai_07在2003-8-5 20:03:00的发言:
Thank you, Anchoret!
But what is that "2""? what is the number? I just cann't see it.

To help you understand the concept, I made up following examples:

40=2^3*5 , so the 2-height of 40 is 3

90=3^2*2*5, so the 2-height of 90 is 1, but the 3-height of 90 is 2
 楼主| 发表于 2003-8-6 03:44:00 | 显示全部楼层
You are great, Anchoret! I've already understood the meaning of 2-height. The question disturbing me is that I can't see clearly enough "when 2" is the factor of x". Can you translate it in Chinese?
发表于 2011-3-19 22:26:57 | 显示全部楼层
这道题的答案是什么  为什么
发表于 2011-3-19 22:54:03 | 显示全部楼层
To put it into a laymen's term, it asks you to find which one of the following number contains the most number of 2 as a prime factor.

40 has three 2 as factors, thus the correct answer.
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