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Yes the product of two odd integers is odd.

The proof lies in recognizing that 2 times an integer is an even integer.

Like, given two arbitrary integers a and b, 2a+1 and 2b+1 are odd.

And the product of (2a+1)(2b+1) can be represented as 2c+1, where

c might be even or odd - it doesn't matter. c = 2ab+a+b, in fact (check

it out.) However, 2c+1 is clearly an odd integer.

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14y ago

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