### Rangpur Secondary 2011/3

Posted:

**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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Posted: **Wed Feb 02, 2011 6:48 pm**

If $2048$ is written as a product of two positive integers whose difference is as small as possible, then what is the difference?

Posted: **Wed Feb 02, 2011 7:29 pm**

$$2048=2^{11}=2^62^5=64*32$$

so the difference is 32.

so the difference is 32.

Posted: **Thu Feb 03, 2011 8:25 pm**

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.

Posted: **Thu Feb 03, 2011 9:26 pm**

sry didn't notice that

Posted: **Mon May 11, 2015 1:22 pm**

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

Posted: **Mon May 11, 2015 7:45 pm**

Try to factorize $2048$ - it should be straightforward after the question.

Posted: **Mon May 11, 2015 9:26 pm**

thanks mahi bhai.