The sum of two consecutive odd numbers is always divisible by-124All of the above

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

Factors of a Number

The sum of tw...

Question

The sum of two consecutive odd numbers is always divisible by:

No worries! We‘ve got your back. Try BYJU‘S free classes today!

All of the above

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D All of the above
Let the first odd number be 2x + 1, then the next consecutive odd number will be 2x + 3.
Sum of these numbers is,2x + 1 + 2x + 3 = 4x + 4 = 4(x + 1)
It is a multiple of 4. Therefore, it is always divisible by 4.
Since it is multiple of 4, it is divisible by 1, 2 and 4.

Suggest Corrections

Similar questions

Q. The sum of two consecutive odd numbers is divisible by 4. Prove this statement by some examples.

Question 8

The sum of two consecutive odd numbers is always divisible by 4. Verify this statement with the help of some examples.

Question 78

In the following question, state whether the given statement is true (T) or false (F).
Sum of two consecutive odd numbers is always divisible by 4.

Q. The difference between the squares of two consecutive odd integers is always divisible by

Prove that the sum of cubes of three consecutive natural numbers is always divisible by 3.

Join BYJU'S Learning Program