Some 4 digit numbers can be written as the product of a 3 digit number and a 2 digit number using the digits 1 to 9 each 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 number 5796 can be written as a product like this in two DIFFERENT ways, and so can the number 5346. Can you find these four funny factorisations?

Here is another puzzle, again you must use the digits 1 to 9 once, but only once, to replace the stars and complete this multiplication example.

This gives altogether six funny factorisations and there is one more. You might like to write a computer program to find all seven funny factorisations or you might come up with a different method. Let us know.