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prime numbers rule

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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prime numbers rule

by Gurpinder » Sun Aug 22, 2010 5:18 pm
hey guys,

i have a question regarding prime numbers rules.

lets say x/6.

the prime factors of x=3,2

if we are to determine whether x is even or odd, WHY is the answer that x is even since it is divisible by 2 when it is also divisible by 3 which would in the same reasoning say that x is odd.

thanks!!
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by 4GMAT_Mumbai » Sun Aug 22, 2010 8:17 pm
Hi,

"when it is also divisible by 3 which would in the same reasoning say that x is odd. "

When a # is divisible by 3, it need not be odd. It could either be even or odd. 18 is divisible by 3 and is a even #.

Hope this clarifies this point.

Going forward, you could however say that only even multiples of 3 are divisible by 6. Odd multiples of 3 are not divisible by 6. Hope this helps.

Thanks.
Naveenan Ramachandran
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by Tani » Mon Aug 23, 2010 8:16 am
The definition of an even number is that it is divisible by 2. An odd number is one that is NOT divisible by 2. Once a number is even it doesn't matter what else it can be divided by.
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by Gurpinder » Mon Aug 23, 2010 10:15 am
Tani Wolff - Kaplan wrote:The definition of an even number is that it is divisible by 2. An odd number is one that is NOT divisible by 2. Once a number is even it doesn't matter what else it can be divided by.
Thank you! That clarifies alot of cloudiness.
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