IP2U10 HOT Q4

IP2U10 HOT Q4

IP 2

\(F_x\) is the set of positive integer factors of \(x\). For example, \(F_9 = \{1, 3, 9\}\).

  1. List the elements of
    1. \(F_{24}\),
    2. \(F_{18} \cap F_{12}\).
  2. Show that \(n(F_{16}) = 5\).
  3. Find a possible value of \(x\) such that
    1. \(F_x \subseteq F_{32}\),
    2. \(n(F_x) = 3\).

Take \(x\) to be a positive integer.

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Answer:(a)(i) \(F_{24}=\{1,2,3,4,6,8,12,24\}\) (ii) \(F_{18}\cap F_{12}=\{1,2,3,6\}\) (b) \(n(F_{16})=5\) (c)(i) \(x=4\) (ii) \(x=4\)

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