# Is it possible to put numbers and cut a hexagon? [closed]

You have numbers 1, 2, 3, 4, 5, and 6. It is required to put the numbers in triangles (one number in a triangle), so that when cutting a hexagon into two parts, the product of all the numbers in the first part is divided by the sum of all the numbers in the second one.

You can cut through one of the three straight lines.

Question. Can you put numbers and cut the hexagon?

• By cutting, do you mean cutting through one of the three straight lines? Also, should the property hold for all three lines or only one? Nov 10 '20 at 9:08
• @Bubbler, three straight lines are three diametrs. You can cut through two of the six straight lines.
– Nick
Nov 10 '20 at 9:17
• By two of the six straight lines, do you mean that I can choose two lines that do not form a diameter, like the left and right sides of 1 (which makes the puzzle trivial)? Nov 10 '20 at 9:20
• If so, it is really trivial: I can fill in the numbers randomly and cut out the single 1 (or single 3 for that matter) because 1 divides 20 (and 3 divides 18). Nov 10 '20 at 9:51
• This problem seems like something a math teacher might use as a tool for teaching the concept of divisibility at grade school. Certainly there is no puzzle of any kind involved.
– Bass
Nov 10 '20 at 11:19