## PhuTAri Puzzles

Rulewise, PhuTAri is deceptively simple. Your job is to distribute all of the numbers in the top section of the puzzle among the 2 or 3 rectangular cells according to one rule: *The product of all of the numbers in each cell must be the same.*

In other words, you must distribute all of the numbers among the cells so that multiplying all of the numbers in one cell gives the same result as multiplying all of the numbers in any other cell. For an unrealistically simple example, if the numbers were 2, 4, 8, and 4, we would put 2 and 8 in one cell, and we would put 4 and 4 in the other cell. (2x8=16, 4x4=16)

Below the cells is a list of the Prime Factorizations of all of the numbers in the puzzle. You can use this information to determine where to place each number, because the "Fundamental Theorem of Arithmetic" dictates that in order for the final products to be equal, the exact same amount of each prime number will end up in each master cell.

Do not be fooled, this game is won by using Logic. You don't have to do multiplication, division, or arithmetic of any kind to win.

A new PhuTAri puzzle will be offered here each day. Puzzles are created and copyrightd by Tim Clark.

## Phutari 2-Cell

Move each of the numbers provided into one of two master cells, in such a way so that the product of all the numbers in one cell equals the product of all the numbers in the other.

2024-07-18 | Phutari Puzzle #22H5EC6R | |

2024-07-16 | Phutari Puzzle #D49W2E6D |

#### Solutions for PhuTAri Puzzles

Just find the unique puzzle id for the puzzle you're working on and enter it below to find the solution. For PhuTAri puzzles, the unique ID is printed in red at the very bottom of each puzzle PDF. i.e. RZ486UH.

#### Download Adobe Reader

All of our printable puzzles are available in PDF format. You will need Adobe Reader - a free download - to view and print them. Most computers will already have this installed, but if yours doesn't, click here to get Adobe Reader »