SOLUTION: If k is multiple of 24 not but a multiple of 16. Which of the following cannot be an integer?

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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): You can put this solution on YOUR website!

If k is multiple of 24 not but a multiple of 16. Which of the following cannot be an integer?
Which INTEGERS? 

Answer by ikleyn(52800)   (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.







 

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