Part (a) is true because 3 is a factor of 6 itself so any number with 6 as a factor will have 3 as a prime factor

Part (b) is true because 2 and 7 are prime factors which makes the smallest number with both 2 and 7 as factors 14 so the statement is true

Part (c) because 8 is not a prime factor and in fact, has 2 as a factor, the smallest number with 2 and 8 as a factor is 8 itself. Hence, the statement is false.