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Is the product of any 3 consecutive whole number is divisible by 6?
No.
If you take the 3 numbers in any consecutive trio and multiply them together to get a new number that new number will always be a multiple of 6 why is this?
18
The sum of 3 consective numbers is divisible by 3?
Any three consecutive integers are divisible by three because it can be shown that the sum divided by three is the middle number.
Is The sum of any three consecutive integers is divisible by 3 Two integers are consecutive if and only if one is one more than the other is this true or false and what would be the counterexample?
Both statements are true.These should really be asked as two separate questions.Yes, the sum of any three consecutive integers is divisible by 3. Call the first number "n", the other two will be "n + 1" and "n + 2". Adding everything together, you get 3n + 3, which is equal to 3(n + 1). Since "n" is a whole number, so is "n + 1", and 3 times as much is a multiple of 3.Two integers are consecutive if one is one more than the other... Well, yes, that's basically the definition of "consecutive".
What are four consecutive numbers that add up to 268?
There are no such numbers. If S is the sum of any 4 consecutive integers then S = 2 (mod 4) In other words, any four consecutive integers add up to an even number that is NOT dvisible by 4.
