Question 9 of 18intermediate🔍 AnalyzeShort Answer2 marks

(a) Is 5×75 \times 7 × 11×1111 \times 11 a multiple of 5×75 \times 7 × 7×117 \times 11 × 2? (b) Is 5×75 \times 7 × 11×1111 \times 11 a factor of 5×75 \times 7 × 7×117 \times 11 × 2?

(a)
Answer

False. The second expression has 7² and 2, which are not fully present in the first.

(b)
Answer

False. The first expression has 11², which is not present in the second.

Explanation

(a) For A to be a multiple of B, B's prime factors must be contained in A. Here 7² and 2 from B are not in A. (b) For A to be a factor of B, A's prime factors must be contained in B. Here 11² from A is not in B.

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