7 grade maths> The product of three consecutive numbers ...

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

Pawan Prajapati , 5 Years ago

Grade 12

3 Answers

Harshit Singh

Dear Student

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

Thanks

Last Activity: 5 Years ago

Ram Kushwah

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

Last Activity: 5 Years ago

Shraddha Singh

Dear Student,

Let the three consecutive numbers be x , x+1, x+2

Their product will be x(x+1)(x+2) = x(x² + 3x + 2) = x³ + 3x² + 2x

Putting value of x as 1 = 1+3+2 = 6

Value as 2 = 8+12+4 = 24 ,i.e., divisible by 6

Hence, the product of three consecutive numbers is divisible by 6.

Hope it helps!

Thank you

Last Activity: 4 Years ago

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7 grade maths> The product of three consecutive numbers ...

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

Pawan Prajapati , 5 Years ago

Harshit Singh

Ram Kushwah

Shraddha Singh

LIVE ONLINE CLASSES

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