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Problem of the Week
Problem C
Divisors and Number

Your friend Cael always likes challenging you. One challenge is called “Divisors and Number”. Cael will tell you certain facts about the divisors of a number and then challenge you to find the number. Here is Cael’s challenge.

“I am looking for a positive integer with exactly eight positive divisors, two of which are \(21\) and \(33\).”

Determine Cael’s number.

Theme: Number Sense