Rangpur Secondary 2011/3

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Moon
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Rangpur Secondary 2011/3

Unread post by Moon » Wed Feb 02, 2011 6:48 pm

Problem 3:
If $2048$ is written as a product of two positive integers whose difference is as small as possible, then what is the difference?
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Tahmid Hasan
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Re: Rangpur Secondary 2011/3

Unread post by Tahmid Hasan » Wed Feb 02, 2011 7:29 pm

$$2048=2^{11}=2^62^5=64*32$$
so the difference is 32.
Last edited by Tahmid Hasan on Thu Feb 03, 2011 9:25 pm, edited 1 time in total.
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Re: Rangpur Secondary 2011/3

Unread post by *Mahi* » Thu Feb 03, 2011 8:25 pm

Tahmid Hasan wrote:$$2048=2^11=2^62^5=64*32$$
so the difference is 32.
Tahmid-please write $2^{11}$ as 2^{11} in latex,because if you write 2^11 in latex it will be$2^11$
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Re: Rangpur Secondary 2011/3

Unread post by Tahmid Hasan » Thu Feb 03, 2011 9:26 pm

sry didn't notice that :mrgreen:
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Mahfuz Sobhan
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Re: Rangpur Secondary 2011/3

Unread post by Mahfuz Sobhan » Mon May 11, 2015 1:22 pm

how will i understand that 2048 in equal to 2 to the power 11 without any calculator?

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Re: Rangpur Secondary 2011/3

Unread post by *Mahi* » Mon May 11, 2015 7:45 pm

Try to factorize $2048$ - it should be straightforward after the question.
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Mahfuz Sobhan
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Re: Rangpur Secondary 2011/3

Unread post by Mahfuz Sobhan » Mon May 11, 2015 9:26 pm

thanks mahi bhai.

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