TED-Ed: Can you solve the multiplying rabbits riddle? - Alex Gendler

The video tutorial introduces nano-rabbits, a futuristic pet that multiplies rapidly. The experiment involves breeding these rabbits in a pyramid-shaped habitat. However, a sabotage leads to a problem where trailing zeros in the rabbit count are lost, risking an overflow. The video explains how to calculate trailing zeros through multiplication patterns without computing the entire number. Ultimately, it is discovered that the habitat cannot contain the rabbits, prompting an emergency shutdown.

What problem arises just as the experiment is about to start?

How can we determine the number of trailing zeros in the count of rabbits without calculating the exact number?