need help on minimum product of distinct natural numbers

[defeated_soldier]

My book says:

W is a product of 3 distinct natural numbers. So the minimum possible value of W is 1 x 2 x 48 = 96.

This is quite confusing. How i can deduce this minimum? I would argue that I could use 2, 3, and 4 as distinct integers and get the value as 2 x 3 x 4 = 24, which is less than 96. Or am I misunderstanding the problem?

Thank you!

 

[arthur ohlsten]

if the natural numbers include 0 then I assume the minimum value of the product is 0

if the natural numbers do not include zero then the minimum value should be
W=1*2*3=6

I would be interested in your instructors answer to the problem , where the answer is 1*2*48
why 48?
48 =2^4*3 what is uniqe about this ?

Arthur

 

[stapel]

I have to agree with the previous tutor. If the question is exactly as stated, without any other information, then quite clearly the minimum possible value of W is six, not ninety-six.

I see no reason for the "48".

Eliz.

 

[soroban]

Hello, defeated_soldier!

Either you copied the problem incorrectly
. . or the book is dreadfully wrong . . .

My book says:
W is a product of 3 distinct natural numbers.
So the minimum possible value of W is 1 x 2 x 48 = 96.

It looks suspiciously like a max/min problem.

There may be another restriction such as "The sum of the numbers is 51".
. . Otherwise, why would they mention 1, 2, and 48?

Even then, 96 is the maximum product.


Please double-check the wording and get back to us . . .

 

[defeated_soldier]

yea, you are right .

There was a restriction too.



The sum of three distinct natural numbers is equal to 51.
I found the correlation now.

Thank you.