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What's My Number?

Puzzle 2

Difficulty:
Fun:
(based on 154 votes)

I am thinking of a whole number between 1 and 20, inclusive.
  • Either my number is a multiple of 3 or it is not a multiple of 4.
  • My number is either prime or less than 10.
  • Either my number is odd or one less than my number is not a square number.
  • Either my number is less than 3! or it does not leave a remainder of 2 when divided by 5.
  • My number is a factor of either 102 or 210.
  • My number is a factor of either 476 or 4004.

What is my number?

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