Question

the product of three cosecutive positive integers is always divisible by ____

Answer 1

Heya !

Here's your answer !!

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The product of three consecutive positive integers is always divisible by $\bf{2}$

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PROOF :

=> Case 1

Two even numbers and one odd number

Let the numbers be 2, 3 and 4

=> 2 × 3 × 4

=> 24

24 is divisible by 2

[ HENCE PROVED ]


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=> Case 2

Two odd numbers and one even number

Let the numbers be 3, 4 and 5

=> 3 × 4 × 5

=> 60

60 is divisible by 2

[ HENCE PROVED ]

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THANKS !!

Answer 2

ANSWER !!


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The product of three cosecutive positive integers is always divisible by 2.



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#Be Brainly