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?
Rangpur Secondary 2011/3
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- Tahmid Hasan
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Re: Rangpur Secondary 2011/3
$$2048=2^{11}=2^62^5=64*32$$
so the difference is 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
Tahmid-please write $2^{11}$ as 2^{11} in latex,because if you write 2^11 in latex it will be$2^11$Tahmid Hasan wrote:$$2048=2^11=2^62^5=64*32$$
so the difference is 32.
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Nur Muhammad Shafiullah | Mahi
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- Tahmid Hasan
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Re: Rangpur Secondary 2011/3
how will i understand that 2048 in equal to 2 to the power 11 without any calculator?
Re: Rangpur Secondary 2011/3
Try to factorize $2048$ - it should be straightforward after the question.
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Nur Muhammad Shafiullah | Mahi
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Re: Rangpur Secondary 2011/3
thanks mahi bhai.