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The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples.

The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples.

Grade:12

2 Answers

Harshit Singh
askIITians Faculty 5870 Points
2 months ago
Dear Student

(i) 2 × 3 × 4 = 24 which is divisible by 6
(ii) 5 × 6 × 7 = 210 which is divisible by 6

Thanks
Ram Kushwah
108 Points
one month ago
Let the consecutive numbers are
Case I: first number is odd
3 x 4 x 5 =60
60 =6 x10 ,so 60 is divisible by 6
*******************************************
Case II: first number is even
2 x 3 x 4=24
here 24=6x 4 
so 24 is divisible by 6
 
Thus
The product of three consecutive number is divisible by 6

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