Explanation: Statement I: A number that has factors other than 1 and itself is called a composite number. Also a composite number is a natural number or a positive integer which has more than two factors.The example of composite numbers are 6, 14, 25, etc, such that:Composite numbersFactors61, 2, 3, 6141, 2, 7, 14251, 5, 25Hence, statement I is true.Statement II: 23 is the only odd prime number.A prime number is a natural number divisible by precisely two numbers, namely 1 and the number itself. The prime numbers are:2, 3, 5, 7, 11, 13, 17, .........Except 2, rest all the prime numbers are odd.Hence, statement II is false.? Statement I is true but Statement II is false.Additional Information1 is neither a prime number nor a composite number.All even number except 2 are composite numbers.4 is the smallest composite number.2 is the only prime number which is even.