State whether the following statements are true (T) or false (F):

(i) The sum of three odd numbers is an even number.

(ii) The sum of two odd numbers and one even number is an even number.

(iii) The product of two even numbers is always an even number.

(iv) The product of three odd numbers is an odd number.

(v) If an even number is divided by 2, the quotient is always an odd number.

(vi) All prime numbers are odd.

(vii) All even numbers are composite.

(viii) Prime numbers do not have any factors.

(ix) A natural number is called a composite number if it has at least one more factor

other than 1 and the number itself.

(x) Two consecutive numbers cannot be both primes.

(xi) Two prime numbers are always co-prime numbers.