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### 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?

### Re: Rangpur Secondary 2011/3

Posted: Wed Feb 02, 2011 7:29 pm
\$\$2048=2^{11}=2^62^5=64*32\$\$
so the difference is 32.

### Re: Rangpur Secondary 2011/3

Posted: 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\$

### Re: Rangpur Secondary 2011/3

Posted: Thu Feb 03, 2011 9:26 pm
sry didn't notice that

### Re: Rangpur Secondary 2011/3

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?

### Re: Rangpur Secondary 2011/3

Posted: Mon May 11, 2015 7:45 pm
Try to factorize \$2048\$ - it should be straightforward after the question.

### Re: Rangpur Secondary 2011/3

Posted: Mon May 11, 2015 9:26 pm
thanks mahi bhai.