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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.

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โˆ™ 2017-03-23 01:16:25
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Q: Is the sum of 3 consecutive whole numbers always divisible by 3. Explain?
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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.


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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 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.


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


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.


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.


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Is 860 divisible by 5?

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Only up to 7. 9 is divisible by 3. after that some odd numbers are divisible and some aren't.


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Since one of the numbers will be even and the other odd, the sum will always be odd.


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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


Why are 2 and 3 the only consecutive prime numbers?

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