Challenge Level

Some 4 digit numbers can be written as the product of a 3 digit number and a 2 digit number using each of the digits $1$ to $9$ once, and only once.

The number $4396$ can be written as just such a product.

**Can you find the factors?**

Maths is full of surprises!

The numbers $5796$ and $5346$ can each be written as a product like this in two **different **ways.

**Can you find these four funny factorisations?**

**Extension**

There are two more funny factorisations to find, using each of the digits $1$ to $9$ once, and only once.

Can you fill in the blanks in the multiplication below to find one of them?

*If you know a bit about computer programming, you may wish to write a program to find the final funny factorisation.*