Can you solve the passcode riddle?  Ganesh Pai

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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.
About TEDEd Originals
TEDEd Original lessons feature the words and ideas of educators brought to life by professional animators. Are you an educator or animator interested in creating a TEDEd original? Nominate yourself here »
Meet The Creators
 Educator Ganesh Pai
 Script Editor Alex Gendler
 Director Jun Zee Myers
 Animator Jun Zee Myers
 Sound Designer Nicolas Martigne
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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.
Love riddles? TEDEd has plenty of them that will challenge you:
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Can you solve the prisoner hat riddle?  Alex Gendler
Can you solve the control room riddle?  Dennis Shasha
Can you solve "Einstein’s Riddle"?  Dan Van der Vieren
Can you solve the temple riddle?  Dennis Shasha
Can you solve the frog riddle?  Derek Abbott
Can you solve the locker riddle?  Lisa Winer
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.
Love riddles? TEDEd has plenty of them that will challenge you:
The famously difficult greeneyed logic puzzle  Alex Gendler
Can you solve the prisoner hat riddle?  Alex Gendler
Can you solve the control room riddle?  Dennis Shasha
Can you solve "Einstein’s Riddle"?  Dan Van der Vieren
Can you solve the temple riddle?  Dennis Shasha
Can you solve the frog riddle?  Derek Abbott
Can you solve the locker riddle?  Lisa Winer
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About TEDEd Originals
TEDEd Original lessons feature the words and ideas of educators brought to life by professional animators. Are you an educator or animator interested in creating a TEDEd original? Nominate yourself here »
Meet The Creators
 Educator Ganesh Pai
 Script Editor Alex Gendler
 Director Jun Zee Myers
 Animator Jun Zee Myers
 Sound Designer Nicolas Martigne