In this equation, each letter stands for a different digit:$$\frac{E\times I\times G\times H\times T } {F\times O\times U\times R }= T\times W\times O$$

What is the value of the product $T\times H\times R\times E\times E$ ?

This problem is taken from the UKMT Mathematical Challenges.

You can find more short problems, arranged by curriculum topic, in our short problems collection.