An odd integer is a whole number that is not divisible by 2. In other words, it has a remainder of 1 when divided by 2. Some examples of odd integers are 3, 7, and 15.
A multiple of four is a number that can be divided by 4 without leaving a remainder. Some examples of multiples of four are 4, 12, and 24.
No, not every odd integer is a multiple of four. In fact, only every other odd integer is a multiple of four. For example, 3 is an odd integer but not a multiple of four, while 7 is both an odd integer and a multiple of four.
Yes, an odd integer can be a multiple of four. As mentioned before, every other odd integer is also a multiple of four. Some examples of odd integers that are also multiples of four are 12, 20, and 36.
To determine if a number is both an odd integer and a multiple of four, you can divide the number by 4. If the remainder is 1, then the number is an odd integer. If the remainder is 0, then the number is a multiple of four. Therefore, a number that has a remainder of 1 when divided by 2 and a remainder of 0 when divided by 4 is both an odd integer and a multiple of four.