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SASMO 2021 Grade 10 Question 25

SASMO · SASMO 2021 Grade 10

Question 25

Let $f(n)$ be the number of positive integer factors of $n$. Find the smallest positive integer $n$ such that
$$f(n-2)=\frac13f(n).$$

Interpretation: The equation requires n ≥ 3 so that n − 2 is a positive integer.

Answer format: enter the integer answer without units. Leading zeros are optional; the original paper uses four-digit boxes.