GMAT 数学题（6）

sdcar2010 · 发表于 2011-1-2 23:33:28

你知道数字 24 所有因子的和是多少吗？我可以告诉你是60。那你能告诉我数字 1800 所有因子的和是多少吗？

1) 4500
2) 5040
3) 6000
4) 6045
5) 6666

sdcar2010 · 发表于 2011-1-2 23:45:10

1+2+3+4+6+8+12+24 =60

小困蛇 · 发表于 2011-1-2 23:54:28

#1 24=2^3*3 sum of factors can be enumerate in this equation, perhaps.
(2^0+2^1+2^2+2^3)*(3^0+#^1)=!+24+2+12+3+8+4+6

So, let's talk about 1800. 因式分解省略
#2 (2^0+2^1+2^2+2^3)(3^0+3^1+3^2)(5^0+5^1+5^2)=15*13*31=6045

i choose 4)

lsbhome · 发表于 2011-1-3 00:00:48

1800=2^3x3^2x5^2

1800因子之和=(1+2+4+8)(1+3+9)(1+5+25)=6045

sdcar2010 · 发表于 2011-1-3 00:12:38

Great. You guys are quick and smart.

gutou · 发表于 2011-1-3 08:13:23

弱问，考试有没有这么难啊~

sdcar2010 · 发表于 2011-1-3 09:23:15

Probably not this hard.

But GMAT does ask about the sum of all even numbers between 100 and 200, as well as the number of factors for a particular integer. It is not rocket science to
combine the two types of questions together and form a new type of question.

Besides, it is the mental training and logic thinking that will be tested during the real exam. Figuring out ways to solve tough questions might sharpen your
skills and prepare your mind for the real test.

gutou · 发表于 2011-1-3 14:40:46

长见识！谢谢分享！

GMAT 数学题（6）

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