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The greatest number which always divides the product of the predecessor and successor of an odd natural number other than 1, is

 The greatest number which always divides the product of the predecessor and successor of an odd natural number other than 1, is 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5872 Points
5 months ago
Dear Student

Let us assume an odd natural number be 15.
Then, predecessor of 5 = 5 -1 = 14
Successor of 5 = 5 + 1 =16
Then, the product of predecessor and successor = 14 × 16

= 224

24 is divided by 4 = 224/4 =56.
similarly, we can see and observe the pattern and we will get 4 as that number
Thus, the greatest number which always divides the product of the predecessor and successor of an odd natural number other than 1, is 4.

Thanks

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