answersLogoWhite

0


Best Answer

Three consecutive whole numbers can be written as x, x + 1 and x + 2. Added together, their sum can be written as 3x + 3. Not only is that sum divisible by three, but by doing so [3(x + 1)] you can see that the sum is also equal to three times the second number.

User Avatar

Wiki User

7y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Is the sum of 3 consecutive whole numbers always divisible by 3. Explain?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Is the sum of two consecutive numbers always divisible by 2?

No, the sum of two consecutive numbers is always an odd number, and is not divisible by two.


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


Why can't two consecutive whole numbers be prime?

In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.


Why 35 and 7 are the only three consecutive odd prime numbers?

If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.


Why arent there any other consecutive prime numbers besides 2 and 3?

Because any consecutive pair of numbers would involve an even number which will always be divisible by 2. As 2 is the only even prime number, 2 and 3 are necessarily the only sequential prime numbers.


How do you make 92 with consecutive numbers?

Adding consecutive pairs of numbers will always turn out to be an odd number. It would have to be consecutive odd numbers: 45 and 47.


What any two consecutive numbers add up to make 12?

Consecutive numbers will always total an odd number. Consecutive odd numbers or consecutive primes would be 5 and 7.


Sum of three consecutive integers is divisible by three?

yes always this is true' example 1,2,3 sum is 6 and is divisible by 3


What is always the sum of three consecutive whole numbers?

The sum of 3 consecutive whole numbers is always equal to 3 times the middle number in that sequence.


When you have a consecutive numbers will the mean and median always be the same?

If there are an odd # of consecutive numbers, they will. If there are an even # of numbers, the mean will be halfway between the two medians.


What are two consecutive numbers that add up to 600?

The sum of consecutive integers will always be odd. Consecutive odd numbers will be even. 299 + 301 = 600


Will the product of 3 consecutive numbers always be even?

Yes because at least one of the consecutive numbers will be even, and if you times anything by an even number, the answer will always be even