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Factoring a number in the format of 2^x + 2^y … ect
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Lets say I have this number 4294967296, I can easily convert it to 2^32.
Now lets say I have this number 33554688, How could I factor it to 2^25 + 2^8.
It needs to always be in the format of (2 to the power of x).
From my understanding every number could be factored into this format(unless it's odd then it would need a +1 at the end).
exponentiation factoring
asked Jul 29 at 19:18
john
11
add a comment |Â
up vote
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down vote
favorite
Lets say I have this number 4294967296, I can easily convert it to 2^32.
Now lets say I have this number 33554688, How could I factor it to 2^25 + 2^8.
It needs to always be in the format of (2 to the power of x).
From my understanding every number could be factored into this format(unless it's odd then it would need a +1 at the end).
exponentiation factoring
asked Jul 29 at 19:18
john
11
1
Are you just asking how to write a number in base $2$?
– lulu
Jul 29 at 19:21
$2^0 =1$ so odd numbers can also be expressed in binary.
– poetasis
Jul 29 at 19:24
1
This is not called "factoring" it is called converting a number to binary representation. If you think it's easy for 4294967296, then I'm a bit surprised you don't have any ideas about how to convert your method to work for numbers that aren't powers of 2.
– Rob Arthan
Jul 29 at 19:26
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Lets say I have this number 4294967296, I can easily convert it to 2^32.
Now lets say I have this number 33554688, How could I factor it to 2^25 + 2^8.
It needs to always be in the format of (2 to the power of x).
From my understanding every number could be factored into this format(unless it's odd then it would need a +1 at the end).
exponentiation factoring
asked Jul 29 at 19:18
john
11
Lets say I have this number 4294967296, I can easily convert it to 2^32.
Now lets say I have this number 33554688, How could I factor it to 2^25 + 2^8.
It needs to always be in the format of (2 to the power of x).
From my understanding every number could be factored into this format(unless it's odd then it would need a +1 at the end).
exponentiation factoring
asked Jul 29 at 19:18
john
11
asked Jul 29 at 19:18
john
11
asked Jul 29 at 19:18
john
11
asked Jul 29 at 19:18
john
11
11
1
Are you just asking how to write a number in base $2$?
– lulu
Jul 29 at 19:21
$2^0 =1$ so odd numbers can also be expressed in binary.
– poetasis
Jul 29 at 19:24
1
This is not called "factoring" it is called converting a number to binary representation. If you think it's easy for 4294967296, then I'm a bit surprised you don't have any ideas about how to convert your method to work for numbers that aren't powers of 2.
– Rob Arthan
Jul 29 at 19:26
add a comment |Â
1
Are you just asking how to write a number in base $2$?
– lulu
Jul 29 at 19:21
$2^0 =1$ so odd numbers can also be expressed in binary.
– poetasis
Jul 29 at 19:24
1
This is not called "factoring" it is called converting a number to binary representation. If you think it's easy for 4294967296, then I'm a bit surprised you don't have any ideas about how to convert your method to work for numbers that aren't powers of 2.
– Rob Arthan
Jul 29 at 19:26
1
1
Are you just asking how to write a number in base $2$?
– lulu
Jul 29 at 19:21
Are you just asking how to write a number in base $2$?
– lulu
Jul 29 at 19:21
$2^0 =1$ so odd numbers can also be expressed in binary.
– poetasis
Jul 29 at 19:24
$2^0 =1$ so odd numbers can also be expressed in binary.
– poetasis
Jul 29 at 19:24
1
1
This is not called "factoring" it is called converting a number to binary representation. If you think it's easy for 4294967296, then I'm a bit surprised you don't have any ideas about how to convert your method to work for numbers that aren't powers of 2.
– Rob Arthan
Jul 29 at 19:26
This is not called "factoring" it is called converting a number to binary representation. If you think it's easy for 4294967296, then I'm a bit surprised you don't have any ideas about how to convert your method to work for numbers that aren't powers of 2.
– Rob Arthan
Jul 29 at 19:26
add a comment |Â
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1
Are you just asking how to write a number in base $2$?
– lulu
Jul 29 at 19:21
$2^0 =1$ so odd numbers can also be expressed in binary.
– poetasis
Jul 29 at 19:24
1
This is not called "factoring" it is called converting a number to binary representation. If you think it's easy for 4294967296, then I'm a bit surprised you don't have any ideas about how to convert your method to work for numbers that aren't powers of 2.
– Rob Arthan
Jul 29 at 19:26