What is the greatest positive integer x such that 2x is a factor of 1210?

admin2011-03-08 13

问题 What is the greatest positive integer x such that 2^x is a factor of 12¹⁰?

选项

答案 To reach an answer, you first must find the smallest factors of 12, as follows: 12¹⁰=(3×2×2) ¹⁰ Remember that the exponent applies to every value within the parentheses; thus, (3×2×2) ¹⁰=3¹⁰×2¹⁰×2¹⁰. When multiplying powers with the same base, you add the exponents: 3¹⁰×2^(10+10) =(3¹⁰)(2²⁰); 2²⁰is a factor of 12¹⁰.

解析

转载请注明原文地址:https://kaotiyun.com/show/GDkO777K

本试题收录于： GRE QUANTITATIVE题库GRE分类

GRE QUANTITATIVE

GRE

相关试题推荐

Thecompanyissmallbutpromising.______,I’lltakethejob.
Itwasnotmuchfuntotravelononeoftheoldsailingships.Lifewashardforbothpassengersandcrew.17thcenturysailing
TheCalifornialawmakersvotedThursdaytoraisethelegalagetobuytobaccoproductsfrom18to21.Themeasureispartofal
Thus,thosewhoranthemostatethemost,yetlostthegreatestamountofbodyfat.(Passage1)
Regretisascommonanemotionasloveorfear,anditcanbenearlyaspowerful.So,inanewpaper,tworesearcherssetabout
Beforethejobofteachingcameintobeing,______.Teachers’salariesareraisedtodayinorderto______.
Itisimpossibletoliveinsocietyandbeindependent______society.
______theobviousdifferencesinsizeandpopulation,thestatesofAmericahavemanythings______common.
Theprimaryfunctionofthesecondparagraphofthepassageisto______TheauthorimpliesthatonewaythatVHSproducerswon
Whatistheslopeofthelinewiththeequation3y=-2x+5?

随机试题

正确的打字指法应将右手食指放在()上方。
It’stenyearssincethescientist_______onhislife’sworkofdiscoveringthevaluablechemical.
为了与他人保持良好的关系，你应该具备优秀的处理人际关系的能力。
行分段诊刮，下列操作顺序正确的是
患者因皮肤疮痍破溃而引发水肿，肿势自颜面而渐及全身，发热咽红，舌红苔薄黄，脉滑数。其治法是
为了实现进度目标，下列说法正确的是()。
当前，国内外形势正在发生深刻复杂变化，我国发展仍处于重要战略()，前景十分光明，挑战也十分严峻。
()一般没有固定的回报要求。
下列各组变量声明正确的是()。
下面关于模板的描述，错误的是

最新回复(0)

What is the greatest positive integer x such that 2x is a factor of 1210?

GRE QUANTITATIVE

GRE

Thecompanyissmallbutpromising.______,I’lltakethejob.

Itwasnotmuchfuntotravelononeoftheoldsailingships.Lifewashardforbothpassengersandcrew.17thcenturysailing

TheCalifornialawmakersvotedThursdaytoraisethelegalagetobuytobaccoproductsfrom18to21.Themeasureispartofal

Thus,thosewhoranthemostatethemost,yetlostthegreatestamountofbodyfat.(Passage1)

Regretisascommonanemotionasloveorfear,anditcanbenearlyaspowerful.So,inanewpaper,tworesearcherssetabout

Beforethejobofteachingcameintobeing,.Teachers’salariesareraisedtodayinorderto.

Itisimpossibletoliveinsocietyandbeindependent______society.

theobviousdifferencesinsizeandpopulation,thestatesofAmericahavemanythingscommon.

Theprimaryfunctionofthesecondparagraphofthepassageisto______TheauthorimpliesthatonewaythatVHSproducerswon

Whatistheslopeofthelinewiththeequation3y=-2x+5?

正确的打字指法应将右手食指放在()上方。

It’stenyearssincethescientist_______onhislife’sworkofdiscoveringthevaluablechemical.

为了与他人保持良好的关系，你应该具备优秀的处理人际关系的能力。

行分段诊刮，下列操作顺序正确的是

患者因皮肤疮痍破溃而引发水肿，肿势自颜面而渐及全身，发热咽红，舌红苔薄黄，脉滑数。其治法是

为了实现进度目标，下列说法正确的是()。

当前，国内外形势正在发生深刻复杂变化，我国发展仍处于重要战略()，前景十分光明，挑战也十分严峻。

()一般没有固定的回报要求。

下列各组变量声明正确的是()。

下面关于模板的描述，错误的是

What is the greatest positive integer x such that 2x is a factor of 1210?

GRE QUANTITATIVE

GRE

Thecompanyissmallbutpromising.______,I’lltakethejob.

Itwasnotmuchfuntotravelononeoftheoldsailingships.Lifewashardforbothpassengersandcrew.17thcenturysailing

TheCalifornialawmakersvotedThursdaytoraisethelegalagetobuytobaccoproductsfrom18to21.Themeasureispartofal

Thus,thosewhoranthemostatethemost,yetlostthegreatestamountofbodyfat.(Passage1)

Regretisascommonanemotionasloveorfear,anditcanbenearlyaspowerful.So,inanewpaper,tworesearcherssetabout

Beforethejobofteachingcameintobeing,______.Teachers’salariesareraisedtodayinorderto______.

Itisimpossibletoliveinsocietyandbeindependent______society.

______theobviousdifferencesinsizeandpopulation,thestatesofAmericahavemanythings______common.

Theprimaryfunctionofthesecondparagraphofthepassageisto______TheauthorimpliesthatonewaythatVHSproducerswon

Whatistheslopeofthelinewiththeequation3y=-2x+5?

正确的打字指法应将右手食指放在()上方。

It’stenyearssincethescientist_______onhislife’sworkofdiscoveringthevaluablechemical.

为了与他人保持良好的关系，你应该具备优秀的处理人际关系的能力。

行分段诊刮，下列操作顺序正确的是

患者因皮肤疮痍破溃而引发水肿，肿势自颜面而渐及全身，发热咽红，舌红苔薄黄，脉滑数。其治法是

为了实现进度目标，下列说法正确的是()。

当前，国内外形势正在发生深刻复杂变化，我国发展仍处于重要战略()，前景十分光明，挑战也十分严峻。

()一般没有固定的回报要求。

下列各组变量声明正确的是()。

下面关于模板的描述，错误的是

Beforethejobofteachingcameintobeing,.Teachers’salariesareraisedtodayinorderto.

theobviousdifferencesinsizeandpopulation,thestatesofAmericahavemanythingscommon.