decide wheather the statement is valid definition "if a number is divisible by 2 and 3 then it is divisible by 6"
well this question is horrible. Technically if a number is divisible by any real number
but i think it is valid for what your teacher is trying to say
It's a valid definition because both 2 and 3 are prime numbers.
even though technically any number is divisible by and non zero number -.-
I haven't encountered a problem with that definition when I tried out numbers up till 60. so i guess it is good.
A better definition would have been: ""if a number is evenly divisible by 2 and evenly divisible by 3 then it is evenly divisible by 6""
If a number k is divisible by 2 and 3, then 2*3*n=k. => 6*n=k => k is divisible by 6. maybe something like that helps D: i dunno..
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