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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.
What are thress consecutive integers of 140?
Not sure what thress is. If three, then there is no answer since the sum (or product) of any three consecutive integers must be divisible by 3.
Is it true that the product of any three consecutive number is divisible by 6?
Yes, the product of any three consecutive numbers is divisible by 6. This is because among any three consecutive integers, at least one of them is even (ensuring divisibility by 2), and at least one of them is divisible by 3. Since 6 is the product of 2 and 3, the product of any three consecutive numbers is therefore divisible by 6.
Explain why the product of any four consecutive integers is divisible by 24?
At least one of the four will be divisible by 4. One other will be divisible by 2 (but not by 4) One other will be divisible by 3. Hence the product will be divisible by 4 x 2 x 3 = 24.
What is the link between the product of any four consecutive positive integers and some square numbers?
The product of four consecutive integers is always one less than a perfect square. The product of four consecutive integers starting with n will be one less than the square of n2 + 3n + 1
Is the product of any 3 consecutive whole number is divisible by 6?
No.
What are two consecutive positive even integers of 340?
There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.
What is the product of 15 consecutive integers whose average is7?
I think the answer is zero. The only 15 consecutive integers whose average is 7 are the integers 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14. For any odd number of consecutive integers the average will be equal to the middle number, and this is the only group of 15 consecutive integers with 7 as the middle number. The product of any group of numbers that includes 0 will always be 0 because 0 times anything is 0.
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.
What is the least common multiple of 20 and 21?
The LCM of 20 and 21 is 420. The LCM of any pair of consecutive integers is their product.
Does the product of any four consecutive whole number have any interesting properties?
It is always divisible by 24 and all the factors of 24.
Can you identify three consecutive even integers whose sum is 219?
No.The sum of any number of even integers, consecutive or not, MUST be even. 219 is not even.No.The sum of any number of even integers, consecutive or not, MUST be even. 219 is not even.No.The sum of any number of even integers, consecutive or not, MUST be even. 219 is not even.No.The sum of any number of even integers, consecutive or not, MUST be even. 219 is not even.
