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Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

A particular number has exactly nine factors, including $1$ and itself. The number has $9$ and $12$ as factors. What is the number?

(A) $24$ (B) $36$ (C) $48$ (D) $72$ (E) $144$

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.