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The prime factorisation of 630 is . Using it, which of these numbers is NOT a factor of 630?

Class 6Playing with NumbersPlaying with Numbers
  • A60
  • B14
  • C21
  • D45

Step-by-Step Solution

60 = needs two 2s, but 630 has only one, so 630 ÷ 60 = 10.5 and 60 is not a factor. The others are built from primes 630 really has: and . The trap is checking only WHICH primes appear and forgetting how MANY times each appears.
Answer: A) 60

Key idea: Factors come in pairs

To find every factor of a number, walk up from 1 and check each whole number — if it divides the number with no remainder, it is a factor. Factors come in **pairs**: if 4 is a factor of 12, so is 12 ÷ 4 = 3. So you only need to check up to the square root of the number to find them all. Factors of 12: — six factors total: 1, 2, 3, 4, 6, 12. Every number has 1 and itself as factors.

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