Whatzit? Number Fun - 144 / (1 + 4 + 4) = 144

Wilmer · Feb 25, 2018

144 / (1 + 4 + 4) = 1*4*4

There is another 3digit number that works similarly: whatzit?

Ackbach · Feb 26, 2018

Simple python code found it:
[sp]

Code:

[FONT=Courier New]
for i in range(1,9):
    for j in range(1,9):
        for k in range(1,9):
            if 100*i + 10*j + k == i*j*k*(i + j + k):
                print(i,j,k)

It found 144 and 135. Those are the only ones!
[/sp]

Wilmer · Feb 26, 2018

Yepper!
Your code is exactly like mine; I use UBasic.

Tried with 2digit and 4digit numbers: none.

I like Serena · Feb 26, 2018

Ackbach said:
Simple python code found it:
[sp]
Code:
[FONT=Courier New]
for i in range(1,9):
    for j in range(1,9):
        for k in range(1,9):
            if 100*i + 10*j + k == i*j*k*(i + j + k):
                print(i,j,k)
It found 144 and 135. Those are the only ones!
[/sp]

Erm... range(1,9) = (1,...,8) in python.
It's a good thing there are no numbers with a 9 in it!

Ackbach · Feb 26, 2018

I like Serena said:

Erm... range(1,9) = (1,...,8) in python.
It's a good thing there are no numbers with a 9 in it!

Oops! How embarrassing.

Wilmer · Feb 26, 2018

Go stand in the corner for 13.5 minutes :)

Whatzit? Number Fun - 144 / (1 + 4 + 4) = 1*4*4

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Whatzit? Number Fun - 144 / (1 + 4 + 4) = 144