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There aren't any odd numbers divisible by 4, much less consecutive ones.

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Why are odd numbers not divisible by 3?

Many odd numbers are divisible by 3. 3 itself for example, as well as 9, 15, 21, 27, ... Being odd and being divisible by three are not related.


Is a odd number always divisible by 5?

NO. Odd numbers are not always divisible by 5. Examples: 3 , 7, 9, 11, 13, 17, ... are odd numbers and they are not divisible by 5.


Can two consecutive numbers be prime?

Yes.Additional Information:If you have two consecutive numbers, one of them will be an odd number and the other will be an even number. Since even numbers are divisible by 2, the only even prime number is 2. If two consecutive numbers are prime, the even number must be 2. So, because 1 is not a prime number, the only time that two consecutive numbers can be prime is in the case of 2 and 3.


What are the first four odd numbers?

1,3,5 and 7The first four odd numbers are 1, 3, 5 and 7. Odd numbers are not divisible by two.


Why is 3 5 and 7 the only three consecutive odd prime numbers?

All even numbers greater than 2 are composite because they are all divisible by 2. Therefore, from 3 onwards, all prime numbers are odd. Consider three consecutive odd numbers. They must be of the form 2n+1, 2n+3 and 2n+5 where n is an integer. Since n is an integer, n will leave a remainder of 0, 1 or 2 when it is divided by 3. Suppose n leaves a remainder of 0 when divided by 3. Therefore n = 3k for some integer k. Then 2n+3 = 2*(3k) + 3 = 6k + 3 = 3*(2k+1). That is, middle of the three consecutive odd numbers is divisible by 3 and so it is not a prime. Now, suppose n leaves a remainder of 1 when divided by 3. Therefore n = 3k+1 for some integer k. Then 2n+1 = 2*(3k+1) + 1 = 6k+2+1 = 6k+3 = 3*(2k+1). That is, first of the three consecutive odd numbers is divisible by 3 and so it is not a prime. Finally, suppose n leaves a remainder of 2 when divided by 3. Therefore n = 3k+2 for some integer k. Then 2n+5 = 2*(3k+2) + 5 = 6k+4+5 = 6k+9 = 3*(2k+3). That is, last of the three consecutive odd numbers is divisible by 3 and so it is not a prime. Thus for any three consecutive odd numbers greater than 3, one of them is divisible by 3 and therefore the three cannot all be prime.

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.


Sum of two consecutive odd numbers divisible by 4?

Yes, that is true.


What odd number is divisible by 7 and is the sum of two and is less than 25 consecutive numbers?

All odd numbers are the sum of two consecutive numbers. Odd multiples of 7 less than 25 are 7 and 21.


The sum of 3 consecutive odd numbers is 59 what are the numbers?

The sum of three consecutive odd numbers must be divisible by 3. As 59 is not wholly divisible by 3 the question is invalid. PROOF : Let the numbers be n - 2, n and n + 2. Then the sum is 3n which is divisible by 3. If the question refers to three consecutive numbers then a similar proof shows that the sum of these three numbers is also divisible by 3. Again, the question would be invalid.


What are consecutive odd numbers?

There are no two consecutive odd numbers.


The sum of two consecutive positive even numbers is 52 What is the smaller number?

There is no solution. You could do it if the numbers were odd: 25 and 27 are consecutive odd numbers that equal 52.


Can the sum of any three consecutive whole numbers be divisible by 6?

Yes, if the first number is odd.


An example of consecutive odd numbers is 23 25 27 and 29. Find four consecutive odd numbers with a sum of 160 Show your work?

150/160


What is the HCF of two consecutive odd numbers?

The GCF of consecutive odd numbers is 1.


What two consecutive numbers add up to 60?

Consecutive whole numbers will have an odd sum. Consecutive odd numbers, or consecutive prime numbers, will be 29 and 31.


Why is an odd number can not be divisible by 4?

Odd numbers are not divisible by even numbers.


What odd number is divisible by an even number?

No odd numbers are divisible by even numbers.