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It will be Odd if the original number was Odd - you have O + O + O = (O + O) + O = E + O = O Otherwise it will be Even if the original number was Even - you have E + E + E = (E + E) + E = E + E = E ------------------------------ Algebraically: For an odd number x = 2n + 1 where n is an integer 3x = 3 × (2n + 1) = 6n + 3 = 6n + 2 + 1 = 2(3n + 1) + 1 = 2m + 1 where m = 3n + 1 which is an odd number For an even number x = 2n where n is an integer 3x = 3 × 2n = 6n = 2(3n) = 2m where m = 3n which is an even number
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An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. 0 is an even number.
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