Question

the product of three consecutive positive integers in divisible by 6 in this statement true or false ?justify you answer ​

Answer 1

Answer:

Answer: The statement is true that the product of any three consecutive positive numbers can be divisible by 6. Solution: Let take any 3 consecutive integers, say 3,4,5

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Answer 2

Answer:

True

Step-by-step explanation:

The product of three consecutive positive integers in divisible by 6.

Let the three consecutive numbers be a, b, c.

Let us know whether these numbers are divisible by 2 and 3.

• From the three numbers, at least one number should be divisible by 2. if a is ÷ by 2, then c will be divisible by 2. if b is ÷ by 2 then a & c won't be divisible by 2. You can check this for any consecutive numbers)
• From the three numbers, exactly one number will be divisible by 3. Take any three numbers you can find the same.

So let me assume a is ÷ by 3, and b is ÷ by 2,

abc = (x/3)(y/2)c

abc = xyc/6 (÷ by 6)

If we take a is ÷ by 2, c will be ÷ by 2, but ÷ by 3

abc = (x/2)(y/3)(z/2)

abc = xyz/12 (÷ by 6)