问题标题:
【GMAT数学题请说明理由哇Ifnistheproductoftheintegersfrom1to20inclusive,whatisthegreatestintegerkforwhich2kisafactorofA.x0510B.x0512C.x0515D.x0518E.x0520我复制下来格式不对了原题不是2K是2的K次方】
问题描述:
GMAT数学题请说明理由哇
Ifnistheproductoftheintegersfrom1to20inclusive,whatisthegreatestintegerkforwhich2kisafactorof
A.x0510
B.x0512
C.x0515
D.x0518
E.x0520
我复制下来格式不对了原题不是2K是2的K次方K是小的在2的右上角
何成回答:
D:
Justlookfor2asafactorinalltheintegersfrom1to20,apparently,onlyevenintegersneedtobeconsidered:
2:1(once)
4=2*2:2(twice)
6:1(once)
8=2*2*2:3(3times)
10:1(once)
12=2*2*3:2(twice)
14:1(once)
16=2*2*2*2:4(4times)
18:1(once)
20=2*2*5:2(twice)
k=1+2+1+3+1+2+1+4+1+2=18
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