CSMC 2024 Part A - Question 4, CEMC UWaterloo

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Difficulty: 7

This problem is tagged with csmc, csmc24, highschool.

(Canadian Senior Mathematics Contest 2024, Part A, Question 4, CEMC - UWaterloo)

For how many ordered quadruples $(a, b, c, d)$ of positive integers with $d \leq 8$ is $d$ equal to the product of $a$, $b$, and $c$?

(That is, for how many such ordered quadruples is $abc = d$?)

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