4x4

Number Theory Level 1

Below is a 4 × 4 4\times 4 grid. I want to fill in each cell with exactly one positive integer such that

  • all 16 numbers are distinct,
  • each number is less than or equal to 30, and
  • the product of the 4 numbers in any row, column, or diagonal is equal.

Is this possible?

Yes, it is possible No, it is not possible

Áron Bán-Szabó by Áron Bán-Szabó , 17, Hungary

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Áron Bán-Szabó
Aug 16, 2017

Here are two examples, with the same numbers:

5 Helpful 1 Interesting 0 Brilliant 0 Confused

How did you construct these 2 configurations?

Pi Han Goh - 3 years, 9 months ago

That doesn't explain anything…

MegaMoh . - 2 years ago

1 pending report

Vote up reports you agree with

×

Problem Loading...

Note Loading...

Set Loading...