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These answers are not picking up on the key word in your question: "between". If we're counting between 1 and 100, then we by definition do not count 1 (even though, as mentioned, it is an odd number). No other possible odd numbers are affected by this since 100 is an even number. So the answer is 49.
The product of two odd numbers is always an odd number.
Let's take a look at this. For any integer n, 2n always be even, then the next consecutive number 2n + 1 must be odd. Let add them first, 2n + 2n + 1 = 4n + 1 = 2(2n) + 1 So their sum is odd, since every even number multiplied by 2 is also even. Let's multiplied them, 2n(2n + 1) = (2n)^2 + 2n Their product is even, since every even number raised in the second power is also even, and the sum of two even numbers is even too. So the answer is that when the sum of two numbers can be odd, their product is an even number. (note that the sum of two odd numbers is even)
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17,19,21