# Can you solve the passcode riddle? - Ganesh Pai

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TEDEd Animation

## Let’s Begin…

In a dystopian world, your resistance group is humanity’s last hope. Unfortunately, you’ve all been captured by the tyrannical rulers and brought to the ancient coliseum for their deadly entertainment. Will you be able to solve the passcode riddle and get everyone out safely? Ganesh Pai shows how.

## Additional Resources for you to Explore

This passcode riddle is an excellent way to introduce factors and multiples and shows the most effective way to understand organized factorization. A good way to understand this problem is by first understanding how a number can be written as all possible products of t natural numbers. Here is a more detailed explanation of how that can be done. Once we have understood this process of writing a number as all possible products of 2 natural numbers, we can move on to understanding how a number can be written as all possible products of 3 natural numbers. For instance, to find the products of 36, a good way to start off would be to write it as 1*1*36. Next, we can break 36 down further and write it using all possible products of 2 numbers. We should get 1*2*18; 1*3*12; 1*4*9; and 1*6*6. We continue this process to find all possible products of 3 natural numbers.

If you enjoyed this problem, here’s another version of a problem with the number 72: "UNSOLVABLE" Logic Puzzle: What Are Their Ages?

You may also visit the educator’s website here to understand factors and multiples in detail. Finally, if you wish to understand more math concepts (who wouldn’t?), visit this link.

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