# Odd Numbers (Integers)

Number (integer) is **odd** if it is NOT divisible by 2.

Alternatively, number is odd if it is not even.

**Example 1.** Determine whether 24 is odd number.

24 is even because $$$\frac{{24}}{{2}}={12}$$$ and 12 is integer number. Thus, 24 is not odd number.

Another example.

**Example 2.** Determine whether 17 is odd.

17 is not even, because $$${17}={2}\cdot{8}+{1}$$$ and remainder is not 0. So, 17 is odd number.

Now, do a couple of exercises.

**Exercise 1.** Determine whether 49 is odd number.

49 is not even, because $$${49}={2}\cdot{24}+{1}$$$ and remainder is not 0. So, 49 is odd number.

Another exercise.

**Exercise 2.** Determine whether 112 is even.

112 is even because $$$\frac{{112}}{{2}}={56}$$$ and 56 is integer number. Thus, 112 is not odd number.