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Numbers – Remember What They Taught You In Primary School?

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Tuition given in the topic of E-Maths Tuition Questions from the desk of Miss Loi at 6:36 pm (Singapore time)

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Maths is all about foundation. Thus Miss Loi is sometimes a little disappointed that many students got themselves stuck in the question below. This question appears almost without fail and is meant to test your basics from primary school to Secondary One.

The numbers 60 and 126, written as products of their prime factors are:

60 = 22 x 3 x 5
126 = 2 x 32 x 7

Find

  1. the largest integer which is a factor of both 60 and 126.
  2. the smallest integer which is an exact multiple of both 60 and 126.
  3. the smallest integer k such that 126k is a perfect square.
  4. the smallest integer value of m for which 60m is a multiple of 126.

P.S. If you’re still stuck remember to look for Miss Loi’s primary school teacher friends Miss Hau Chu Fen and Mdm Lau Chio Min.

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