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Solve a challenging Cambridge entrance exam mathematics problem that asks for finding the smallest number with exactly 426 proper factors, based on Question 1 from the 2009 UCLES STEP Mathematics I examination. Learn systematic approaches to factor counting and number theory while working through this complex problem that requires understanding of prime factorization and divisor functions.
Syllabus
9:50 small misspeak, should be "times 3 to the power of 3"
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