[ Products and factorials ] [ Examples and counterexamples. Constructions ]

Authors: Agokhanov H. X., Boodanov I. I.

In the product of five natural numbers, each factor was decreased by 3. Could the product have increased exactly 15 times as a result?
The product $1 \cdot 1 \cdot 1 \cdot 1 \cdot 48$ after the specified operation turns into $(-2)^{4} \cdot 45=720=15 \cdot 48$.

## Answer

It could.