Question 1129281: If k is multiple of 24 not but a multiple of 16. Which of the following cannot be an integer?
Found 3 solutions by MathLover1, MathTherapy, ikleyn:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
If  is a multiple of  , then contains all of ’s primes. All you know thus far is that it contains   ’s and a  .
You also know that it is  a multiple of  . That means that it doesn’t contain the primes of , which are   's.
That is, there are already ’s in there, and there  be  more. If there were, then would be divisible by .
In summary:
contains exactly ’s, at  one , and possibly some other primes you don’t know about.
If that’s the case, what numbers could divide evenly into ?
we know ’s make 
divides evenly into , since there are ’s in =>this   an integer
 could divide evenly into, since there  two ’s in=>this  be an integer
 can’t divide evenly into , there are  ’s in , but there is   ’s in
so,   an integer; consequently, this is the right 
Answer by MathTherapy(10552)  (Show Source):
Answer by ikleyn(52797)  (Show Source):
You can put this solution on YOUR website! .
When you pronounciate "Which of the following . . . ", it assumes that you then LIST that follows - otherwise
your post becomes non-sensical.
|
|
|
